Merge pull request #4097 from martin-frbg/lapack849

Fix confusing use of "minor" in inline documentation (Reference-LAPACK PR849)

lapack-netlib/SRC/VARIANTS/cholesky/RL/cpotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/RL/dpotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/RL/spotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/RL/zpotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/TOP/cpotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/TOP/dpotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/TOP/spotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/VARIANTS/cholesky/TOP/zpotrf.f

@@ -79,8 +79,8 @@ C> \verbatim
 C>          INFO is INTEGER
 C>          = 0:  successful exit
 C>          < 0:  if INFO = -i, the i-th argument had an illegal value
-C>          > 0:  if INFO = i, the leading minor of order i is not
-C>                positive definite, and the factorization could not be
+C>          > 0:  if INFO = i, the leading principal minor of order i
+C>                is not positive, and the factorization could not be
 C>                completed.
 C> \endverbatim
 C>

lapack-netlib/SRC/chegv.f

@@ -160,7 +160,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/chegv_2stage.f

@@ -179,7 +179,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/chegvd.f

@@ -212,7 +212,7 @@
 *>                    the submatrix lying in rows and columns INFO/(N+1)
 *>                    through mod(INFO,N+1);
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/chegvx.f

@@ -280,7 +280,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/chpgv.f

@@ -144,7 +144,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not convergeto zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/chpgvd.f

@@ -205,7 +205,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not convergeto zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/chpgvx.f

@@ -250,7 +250,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/cla_porpvgrw.f

@@ -140,9 +140,9 @@
 *     .. Executable Statements ..
       UPPER = LSAME( 'Upper', UPLO )
 *
-*     SPOTRF will have factored only the NCOLSxNCOLS leading minor, so
-*     we restrict the growth search to that minor and use only the first
-*     2*NCOLS workspace entries.
+*     SPOTRF will have factored only the NCOLSxNCOLS leading submatrix,
+*     so we restrict the growth search to that submatrix and use only
+*     the first 2*NCOLS workspace entries.
 *
       RPVGRW = 1.0
       DO I = 1, 2*NCOLS

lapack-netlib/SRC/cpbsv.f

@@ -119,9 +119,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/cpbsvx.f

@@ -70,7 +70,7 @@
 *>    where U is an upper triangular band matrix, and L is a lower
 *>    triangular band matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -280,10 +280,10 @@
 *>          = 0: successful exit
 *>          < 0: if INFO = -i, the i-th argument had an illegal value
 *>          > 0: if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/cpbtf2.f

@@ -97,8 +97,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite, and the factorization could not be
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive, and the factorization could not be
 *>               completed.
 *> \endverbatim
 *

lapack-netlib/SRC/cpbtrf.f

@@ -92,8 +92,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/cpftrf.f

@@ -91,8 +91,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *>
 *>  Further Notes on RFP Format:

lapack-netlib/SRC/cposv.f

@@ -110,9 +110,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/cposvx.f

@@ -70,7 +70,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -276,10 +276,10 @@
 *>          = 0: successful exit
 *>          < 0: if INFO = -i, the i-th argument had an illegal value
 *>          > 0: if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/cposvxx.f

@@ -87,7 +87,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*>    3. If the leading i-by-i principal minor is not positive definite,
+*>    3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A (see argument RCOND).  If the reciprocal of the condition number

lapack-netlib/SRC/cpotf2.f

@@ -89,8 +89,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite, and the factorization could not be
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive, and the factorization could not be
 *>               completed.
 *> \endverbatim
 *

lapack-netlib/SRC/cpotrf.f

@@ -87,8 +87,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/cpotrf2.f

@@ -86,8 +86,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/cppsv.f

@@ -104,9 +104,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/cppsvx.f

@@ -69,7 +69,7 @@
 *>    where U is an upper triangular matrix, L is a lower triangular
 *>    matrix, and **H indicates conjugate transpose.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -262,10 +262,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/cpptrf.f

@@ -79,9 +79,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
-*>                completed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive definite, and the factorization could
+*>                not be completed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/cpteqr.f

@@ -123,8 +123,8 @@
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value.
 *>          > 0:  if INFO = i, and i is:
 *>                <= N  the Cholesky factorization of the matrix could
-*>                      not be performed because the i-th principal minor
-*>                      was not positive definite.
+*>                      not be performed because the leading principal
+*>                      minor of order i was not positive.
 *>                > N   the SVD algorithm failed to converge;
 *>                      if INFO = N+i, i off-diagonal elements of the
 *>                      bidiagonal factor did not converge to zero.

lapack-netlib/SRC/cptsv.f

@@ -94,8 +94,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the solution has not been
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the solution has not been
 *>                computed.  The factorization has not been completed
 *>                unless i = N.
 *> \endverbatim

lapack-netlib/SRC/cptsvx.f

@@ -60,7 +60,7 @@
 *>    factorization can also be regarded as having the form
 *>    A = U**H*D*U.
 *>
-*> 2. If the leading i-by-i principal minor is not positive definite,
+*> 2. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -205,10 +205,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/cpttrf.f

@@ -71,8 +71,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite; if k < N, the factorization could not
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive; if k < N, the factorization could not
 *>               be completed, while if k = N, the factorization was
 *>               completed, but D(N) <= 0.
 *> \endverbatim

lapack-netlib/SRC/dla_porpvgrw.f

@@ -134,9 +134,9 @@
 *
       UPPER = LSAME( 'Upper', UPLO )
 *
-*     DPOTRF will have factored only the NCOLSxNCOLS leading minor, so
-*     we restrict the growth search to that minor and use only the first
-*     2*NCOLS workspace entries.
+*     DPOTRF will have factored only the NCOLSxNCOLS leading submatrix,
+*     so we restrict the growth search to that submatrix and use only
+*     the first 2*NCOLS workspace entries.
 *
       RPVGRW = 1.0D+0
       DO I = 1, 2*NCOLS

lapack-netlib/SRC/dpbsv.f

@@ -119,9 +119,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/dpbsvx.f

@@ -71,7 +71,7 @@
 *>    where U is an upper triangular band matrix, and L is a lower
 *>    triangular band matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -281,10 +281,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/dpbtf2.f

@@ -97,8 +97,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite, and the factorization could not be
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive, and the factorization could not be
 *>               completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dpbtrf.f

@@ -92,8 +92,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dpftrf.f

@@ -91,8 +91,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dposv.f

@@ -110,9 +110,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/dposvx.f

@@ -71,7 +71,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -277,10 +277,10 @@
 *>          = 0: successful exit
 *>          < 0: if INFO = -i, the i-th argument had an illegal value
 *>          > 0: if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/dposvxx.f

@@ -88,7 +88,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*>    3. If the leading i-by-i principal minor is not positive definite,
+*>    3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A (see argument RCOND).  If the reciprocal of the condition number

lapack-netlib/SRC/dpotf2.f

@@ -89,8 +89,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite, and the factorization could not be
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive, and the factorization could not be
 *>               completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dpotrf.f

@@ -87,8 +87,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dpotrf2.f

@@ -86,8 +86,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dppsv.f

@@ -104,9 +104,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/dppsvx.f

@@ -69,7 +69,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -262,10 +262,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/dpptrf.f

@@ -79,8 +79,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/dpteqr.f

@@ -123,8 +123,8 @@
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value.
 *>          > 0:  if INFO = i, and i is:
 *>                <= N  the Cholesky factorization of the matrix could
-*>                      not be performed because the i-th principal minor
-*>                      was not positive definite.
+*>                      not be performed because the leading principal
+*>                      minor of order i was not positive.
 *>                > N   the SVD algorithm failed to converge;
 *>                      if INFO = N+i, i off-diagonal elements of the
 *>                      bidiagonal factor did not converge to zero.

lapack-netlib/SRC/dptsv.f

@@ -93,8 +93,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the solution has not been
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the solution has not been
 *>                computed.  The factorization has not been completed
 *>                unless i = N.
 *> \endverbatim

lapack-netlib/SRC/dptsvx.f

@@ -59,7 +59,7 @@
 *>    factorization can also be regarded as having the form
 *>    A = U**T*D*U.
 *>
-*> 2. If the leading i-by-i principal minor is not positive definite,
+*> 2. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -199,10 +199,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/dpttrf.f

@@ -70,8 +70,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite; if k < N, the factorization could not
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive; if k < N, the factorization could not
 *>               be completed, while if k = N, the factorization was
 *>               completed, but D(N) <= 0.
 *> \endverbatim

lapack-netlib/SRC/dsbgvx.f

@@ -267,7 +267,7 @@
 *>                  Their indices are stored in IFAIL.
 *>          > N:  DPBSTF returned an error code; i.e.,
 *>                if INFO = N + i, for 1 <= i <= N, then the leading
-*>                minor of order i of B is not positive definite.
+*>                principal minor of order i of B is not positive.
 *>                The factorization of B could not be completed and
 *>                no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dspgv.f

@@ -139,7 +139,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero.
 *>             > N:   if INFO = n + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dspgvd.f

@@ -184,7 +184,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dspgvx.f

@@ -245,7 +245,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dsposv.f

@@ -177,8 +177,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of (DOUBLE
-*>                PRECISION) A is not positive definite, so the
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of (DOUBLE PRECISION) A is not positive, so the
 *>                factorization could not be completed, and the solution
 *>                has not been computed.
 *> \endverbatim

lapack-netlib/SRC/dsygv.f

@@ -154,7 +154,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dsygv_2stage.f

@@ -173,7 +173,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dsygvd.f

@@ -190,7 +190,7 @@
 *>                    the submatrix lying in rows and columns INFO/(N+1)
 *>                    through mod(INFO,N+1);
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/dsygvx.f

@@ -270,7 +270,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/sla_porpvgrw.f

@@ -132,9 +132,9 @@
 *
       UPPER = LSAME( 'Upper', UPLO )
 *
-*     SPOTRF will have factored only the NCOLSxNCOLS leading minor, so
-*     we restrict the growth search to that minor and use only the first
-*     2*NCOLS workspace entries.
+*     SPOTRF will have factored only the NCOLSxNCOLS leading submatrix,
+*     so we restrict the growth search to that submatrix and use only
+*     the first 2*NCOLS workspace entries.
 *
       RPVGRW = 1.0
       DO I = 1, 2*NCOLS

lapack-netlib/SRC/spbsv.f

@@ -119,9 +119,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/spbsvx.f

@@ -71,7 +71,7 @@
 *>    where U is an upper triangular band matrix, and L is a lower
 *>    triangular band matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -281,10 +281,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/spbtf2.f

@@ -97,8 +97,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite, and the factorization could not be
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive, and the factorization could not be
 *>               completed.
 *> \endverbatim
 *

lapack-netlib/SRC/spbtrf.f

@@ -92,8 +92,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/spftrf.f

@@ -91,8 +91,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/sposv.f

@@ -110,9 +110,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/sposvx.f

@@ -71,7 +71,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -277,10 +277,10 @@
 *>          = 0: successful exit
 *>          < 0: if INFO = -i, the i-th argument had an illegal value
 *>          > 0: if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/sposvxx.f

@@ -88,7 +88,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*>    3. If the leading i-by-i principal minor is not positive definite,
+*>    3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A (see argument RCOND).  If the reciprocal of the condition number

lapack-netlib/SRC/spotf2.f

@@ -89,8 +89,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite, and the factorization could not be
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive, and the factorization could not be
 *>               completed.
 *> \endverbatim
 *

lapack-netlib/SRC/spotrf.f

@@ -87,8 +87,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/spotrf2.f

@@ -86,8 +86,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/sppsv.f

@@ -104,9 +104,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/sppsvx.f

@@ -69,7 +69,7 @@
 *>    where U is an upper triangular matrix and L is a lower triangular
 *>    matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -262,10 +262,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/spptrf.f

@@ -79,8 +79,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the factorization could not be
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the factorization could not be
 *>                completed.
 *> \endverbatim
 *

lapack-netlib/SRC/spteqr.f

@@ -123,8 +123,8 @@
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value.
 *>          > 0:  if INFO = i, and i is:
 *>                <= N  the Cholesky factorization of the matrix could
-*>                      not be performed because the i-th principal minor
-*>                      was not positive definite.
+*>                      not be performed because the leading principal
+*>                      minor of order i was not positive.
 *>                > N   the SVD algorithm failed to converge;
 *>                      if INFO = N+i, i off-diagonal elements of the
 *>                      bidiagonal factor did not converge to zero.

lapack-netlib/SRC/sptsv.f

@@ -93,8 +93,8 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i is not
-*>                positive definite, and the solution has not been
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                is not positive, and the solution has not been
 *>                computed.  The factorization has not been completed
 *>                unless i = N.
 *> \endverbatim

lapack-netlib/SRC/sptsvx.f

@@ -59,7 +59,7 @@
 *>    factorization can also be regarded as having the form
 *>    A = U**T*D*U.
 *>
-*> 2. If the leading i-by-i principal minor is not positive definite,
+*> 2. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -199,10 +199,10 @@
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
 *>          > 0:  if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the

lapack-netlib/SRC/spttrf.f

@@ -70,8 +70,8 @@
 *>          INFO is INTEGER
 *>          = 0: successful exit
 *>          < 0: if INFO = -k, the k-th argument had an illegal value
-*>          > 0: if INFO = k, the leading minor of order k is not
-*>               positive definite; if k < N, the factorization could not
+*>          > 0: if INFO = k, the leading principal minor of order k
+*>               is not positive; if k < N, the factorization could not
 *>               be completed, while if k = N, the factorization was
 *>               completed, but D(N) <= 0.
 *> \endverbatim

lapack-netlib/SRC/ssbgvx.f

@@ -267,7 +267,7 @@
 *>                  Their indices are stored in IFAIL.
 *>          > N:  SPBSTF returned an error code; i.e.,
 *>                if INFO = N + i, for 1 <= i <= N, then the leading
-*>                minor of order i of B is not positive definite.
+*>                principal minor of order i of B is not positive.
 *>                The factorization of B could not be completed and
 *>                no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/sspgv.f

@@ -139,7 +139,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero.
 *>             > N:   if INFO = n + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/sspgvd.f

@@ -184,7 +184,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/sspgvx.f

@@ -245,7 +245,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/ssygv.f

@@ -154,7 +154,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/ssygv_2stage.f

@@ -173,7 +173,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/ssygvd.f

@@ -190,7 +190,7 @@
 *>                    the submatrix lying in rows and columns INFO/(N+1)
 *>                    through mod(INFO,N+1);
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/ssygvx.f

@@ -270,7 +270,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zcposv.f

@@ -187,10 +187,10 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of
-*>                (COMPLEX*16) A is not positive definite, so the
-*>                factorization could not be completed, and the solution
-*>                has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of (COMPLEX*16) A is not positive, so the factorization
+*>                could not be completed, and the solution has not been
+*>                computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/zhegv.f

@@ -160,7 +160,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zhegv_2stage.f

@@ -179,7 +179,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not converge to zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zhegvd.f

@@ -212,7 +212,7 @@
 *>                    the submatrix lying in rows and columns INFO/(N+1)
 *>                    through mod(INFO,N+1);
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zhegvx.f

@@ -280,7 +280,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= N, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zhpgv.f

@@ -144,7 +144,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not convergeto zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zhpgvd.f

@@ -205,7 +205,7 @@
 *>                    i off-diagonal elements of an intermediate
 *>                    tridiagonal form did not convergeto zero;
 *>             > N:   if INFO = N + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zhpgvx.f

@@ -250,7 +250,7 @@
 *>                    i eigenvectors failed to converge.  Their indices
 *>                    are stored in array IFAIL.
 *>             > N:   if INFO = N + i, for 1 <= i <= n, then the leading
-*>                    minor of order i of B is not positive definite.
+*>                    principal minor of order i of B is not positive.
 *>                    The factorization of B could not be completed and
 *>                    no eigenvalues or eigenvectors were computed.
 *> \endverbatim

lapack-netlib/SRC/zla_porpvgrw.f

@@ -142,9 +142,9 @@
 *     .. Executable Statements ..
       UPPER = LSAME( 'Upper', UPLO )
 *
-*     DPOTRF will have factored only the NCOLSxNCOLS leading minor, so
-*     we restrict the growth search to that minor and use only the first
-*     2*NCOLS workspace entries.
+*     DPOTRF will have factored only the NCOLSxNCOLS leading submatrix,
+*     so we restrict the growth search to that submatrix and use only
+*     the first 2*NCOLS workspace entries.
 *
       RPVGRW = 1.0D+0
       DO I = 1, 2*NCOLS

lapack-netlib/SRC/zpbsv.f

@@ -119,9 +119,9 @@
 *>          INFO is INTEGER
 *>          = 0:  successful exit
 *>          < 0:  if INFO = -i, the i-th argument had an illegal value
-*>          > 0:  if INFO = i, the leading minor of order i of A is not
-*>                positive definite, so the factorization could not be
-*>                completed, and the solution has not been computed.
+*>          > 0:  if INFO = i, the leading principal minor of order i
+*>                of A is not positive, so the factorization could not
+*>                be completed, and the solution has not been computed.
 *> \endverbatim
 *
 *  Authors:

lapack-netlib/SRC/zpbsvx.f

@@ -70,7 +70,7 @@
 *>    where U is an upper triangular band matrix, and L is a lower
 *>    triangular band matrix.
 *>
-*> 3. If the leading i-by-i principal minor is not positive definite,
+*> 3. If the leading principal minor of order i is not positive,
 *>    then the routine returns with INFO = i. Otherwise, the factored
 *>    form of A is used to estimate the condition number of the matrix
 *>    A.  If the reciprocal of the condition number is less than machine
@@ -280,10 +280,10 @@
 *>          = 0: successful exit
 *>          < 0: if INFO = -i, the i-th argument had an illegal value
 *>          > 0: if INFO = i, and i is
-*>                <= N:  the leading minor of order i of A is
-*>                       not positive definite, so the factorization
-*>                       could not be completed, and the solution has not
-*>                       been computed. RCOND = 0 is returned.
+*>                <= N:  the leading principal minor of order i of A
+*>                       is not positive, so the factorization could not
+*>                       be completed, and the solution has not been
+*>                       computed. RCOND = 0 is returned.
 *>                = N+1: U is nonsingular, but RCOND is less than machine
 *>                       precision, meaning that the matrix is singular
 *>                       to working precision.  Nevertheless, the