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

This commit is contained in:
Martin Kroeker 2023-06-22 16:23:26 +02:00 committed by GitHub
parent d9a6cacef7
commit a20f533b86
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GPG Key ID: 4AEE18F83AFDEB23
28 changed files with 63 additions and 63 deletions
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6
lapack-netlib/SRC/dla_porpvgrw.f
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@ -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

6
lapack-netlib/SRC/dpbsv.f
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@ -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:

10
lapack-netlib/SRC/dpbsvx.f
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@ -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

4
lapack-netlib/SRC/dpbtf2.f
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@ -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
*

4
lapack-netlib/SRC/dpbtrf.f
View File

@ -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
*

4
lapack-netlib/SRC/dpftrf.f
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@ -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
*

6
lapack-netlib/SRC/dposv.f
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@ -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:

10
lapack-netlib/SRC/dposvx.f
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@ -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

2
lapack-netlib/SRC/dposvxx.f
View File

@ -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

4
lapack-netlib/SRC/dpotf2.f
View File

@ -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
*

4
lapack-netlib/SRC/dpotrf.f
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@ -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
*

4
lapack-netlib/SRC/dpotrf2.f
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@ -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
*

6
lapack-netlib/SRC/dppsv.f
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@ -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:

10
lapack-netlib/SRC/dppsvx.f
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@ -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

4
lapack-netlib/SRC/dpptrf.f
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@ -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
*

4
lapack-netlib/SRC/dpteqr.f
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@ -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.

4
lapack-netlib/SRC/dptsv.f
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@ -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

10
lapack-netlib/SRC/dptsvx.f
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@ -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

4
lapack-netlib/SRC/dpttrf.f
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@ -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

2
lapack-netlib/SRC/dsbgvx.f
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@ -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

2
lapack-netlib/SRC/dspgv.f
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@ -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

2
lapack-netlib/SRC/dspgvd.f
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@ -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

2
lapack-netlib/SRC/dspgvx.f
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@ -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

4
lapack-netlib/SRC/dsposv.f
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@ -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

2
lapack-netlib/SRC/dsygv.f
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@ -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

2
lapack-netlib/SRC/dsygv_2stage.f
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@ -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

2
lapack-netlib/SRC/dsygvd.f
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@ -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

2
lapack-netlib/SRC/dsygvx.f
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@ -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