diff --git a/lapack-netlib/SRC/chegv.f b/lapack-netlib/SRC/chegv.f index f7675a19f..198e5d102 100644 --- a/lapack-netlib/SRC/chegv.f +++ b/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 diff --git a/lapack-netlib/SRC/chegv_2stage.f b/lapack-netlib/SRC/chegv_2stage.f index 472581c4b..d2b8fc795 100644 --- a/lapack-netlib/SRC/chegv_2stage.f +++ b/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 diff --git a/lapack-netlib/SRC/chegvd.f b/lapack-netlib/SRC/chegvd.f index 4b7f43d52..c96f011af 100644 --- a/lapack-netlib/SRC/chegvd.f +++ b/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 diff --git a/lapack-netlib/SRC/chegvx.f b/lapack-netlib/SRC/chegvx.f index 6e428242d..8e565222d 100644 --- a/lapack-netlib/SRC/chegvx.f +++ b/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 diff --git a/lapack-netlib/SRC/chpgv.f b/lapack-netlib/SRC/chpgv.f index 417f10121..660724e05 100644 --- a/lapack-netlib/SRC/chpgv.f +++ b/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 diff --git a/lapack-netlib/SRC/chpgvd.f b/lapack-netlib/SRC/chpgvd.f index 65d08b783..5c9e417d3 100644 --- a/lapack-netlib/SRC/chpgvd.f +++ b/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 diff --git a/lapack-netlib/SRC/chpgvx.f b/lapack-netlib/SRC/chpgvx.f index 711daf55f..2646800cc 100644 --- a/lapack-netlib/SRC/chpgvx.f +++ b/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 diff --git a/lapack-netlib/SRC/cla_porpvgrw.f b/lapack-netlib/SRC/cla_porpvgrw.f index 1eb706d1a..78cd19da9 100644 --- a/lapack-netlib/SRC/cla_porpvgrw.f +++ b/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 diff --git a/lapack-netlib/SRC/cpbsv.f b/lapack-netlib/SRC/cpbsv.f index 248abbc1f..889bbde08 100644 --- a/lapack-netlib/SRC/cpbsv.f +++ b/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: diff --git a/lapack-netlib/SRC/cpbsvx.f b/lapack-netlib/SRC/cpbsvx.f index 652e18501..975c87768 100644 --- a/lapack-netlib/SRC/cpbsvx.f +++ b/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 diff --git a/lapack-netlib/SRC/cpbtf2.f b/lapack-netlib/SRC/cpbtf2.f index 0be2c0a7f..f5bc9b3a6 100644 --- a/lapack-netlib/SRC/cpbtf2.f +++ b/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 * diff --git a/lapack-netlib/SRC/cpbtrf.f b/lapack-netlib/SRC/cpbtrf.f index a4c18efb3..af60780c8 100644 --- a/lapack-netlib/SRC/cpbtrf.f +++ b/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 * diff --git a/lapack-netlib/SRC/cpftrf.f b/lapack-netlib/SRC/cpftrf.f index cbaab6832..12799c6f7 100644 --- a/lapack-netlib/SRC/cpftrf.f +++ b/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: diff --git a/lapack-netlib/SRC/cposv.f b/lapack-netlib/SRC/cposv.f index f37dfa3c0..ea6fc37db 100644 --- a/lapack-netlib/SRC/cposv.f +++ b/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: diff --git a/lapack-netlib/SRC/cposvx.f b/lapack-netlib/SRC/cposvx.f index 78b9f4db1..322a26447 100644 --- a/lapack-netlib/SRC/cposvx.f +++ b/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 diff --git a/lapack-netlib/SRC/cposvxx.f b/lapack-netlib/SRC/cposvxx.f index 7834c75da..c40a2d856 100644 --- a/lapack-netlib/SRC/cposvxx.f +++ b/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 diff --git a/lapack-netlib/SRC/cpotf2.f b/lapack-netlib/SRC/cpotf2.f index 2f4658bae..d84988949 100644 --- a/lapack-netlib/SRC/cpotf2.f +++ b/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 * diff --git a/lapack-netlib/SRC/cpotrf.f b/lapack-netlib/SRC/cpotrf.f index 6aba3103e..e2b120a49 100644 --- a/lapack-netlib/SRC/cpotrf.f +++ b/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 * diff --git a/lapack-netlib/SRC/cpotrf2.f b/lapack-netlib/SRC/cpotrf2.f index e1eae3e9d..ea2e4ca98 100644 --- a/lapack-netlib/SRC/cpotrf2.f +++ b/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 * diff --git a/lapack-netlib/SRC/cppsv.f b/lapack-netlib/SRC/cppsv.f index 1e6f02695..a8fd660c4 100644 --- a/lapack-netlib/SRC/cppsv.f +++ b/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: diff --git a/lapack-netlib/SRC/cppsvx.f b/lapack-netlib/SRC/cppsvx.f index f6f07538c..2ef02100f 100644 --- a/lapack-netlib/SRC/cppsvx.f +++ b/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 diff --git a/lapack-netlib/SRC/cpptrf.f b/lapack-netlib/SRC/cpptrf.f index 4e81458cb..e36f834cb 100644 --- a/lapack-netlib/SRC/cpptrf.f +++ b/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: diff --git a/lapack-netlib/SRC/cpteqr.f b/lapack-netlib/SRC/cpteqr.f index e3af59041..fc9c44908 100644 --- a/lapack-netlib/SRC/cpteqr.f +++ b/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. diff --git a/lapack-netlib/SRC/cptsv.f b/lapack-netlib/SRC/cptsv.f index 20ee32bbe..4c16f6a0a 100644 --- a/lapack-netlib/SRC/cptsv.f +++ b/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 diff --git a/lapack-netlib/SRC/cptsvx.f b/lapack-netlib/SRC/cptsvx.f index db63a3c36..6f7d8cf5b 100644 --- a/lapack-netlib/SRC/cptsvx.f +++ b/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 diff --git a/lapack-netlib/SRC/cpttrf.f b/lapack-netlib/SRC/cpttrf.f index c6379e923..111343b78 100644 --- a/lapack-netlib/SRC/cpttrf.f +++ b/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