--- rpl/lapack/lapack/dla_gercond.f 2010/08/07 13:22:15 1.2
+++ rpl/lapack/lapack/dla_gercond.f 2023/08/07 08:38:52 1.17
@@ -1,17 +1,159 @@
- DOUBLE PRECISION FUNCTION DLA_GERCOND ( TRANS, N, A, LDA, AF,
- $ LDAF, IPIV, CMODE, C,
- $ INFO, WORK, IWORK )
-*
-* -- LAPACK routine (version 3.2.1) --
-* -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and --
-* -- Jason Riedy of Univ. of California Berkeley. --
-* -- April 2009 --
+*> \brief \b DLA_GERCOND estimates the Skeel condition number for a general matrix.
*
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley and NAG Ltd. --
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLA_GERCOND + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* DOUBLE PRECISION FUNCTION DLA_GERCOND( TRANS, N, A, LDA, AF,
+* LDAF, IPIV, CMODE, C,
+* INFO, WORK, IWORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER TRANS
+* INTEGER N, LDA, LDAF, INFO, CMODE
+* ..
+* .. Array Arguments ..
+* INTEGER IPIV( * ), IWORK( * )
+* DOUBLE PRECISION A( LDA, * ), AF( LDAF, * ), WORK( * ),
+* $ C( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLA_GERCOND estimates the Skeel condition number of op(A) * op2(C)
+*> where op2 is determined by CMODE as follows
+*> CMODE = 1 op2(C) = C
+*> CMODE = 0 op2(C) = I
+*> CMODE = -1 op2(C) = inv(C)
+*> The Skeel condition number cond(A) = norminf( |inv(A)||A| )
+*> is computed by computing scaling factors R such that
+*> diag(R)*A*op2(C) is row equilibrated and computing the standard
+*> infinity-norm condition number.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] TRANS
+*> \verbatim
+*> TRANS is CHARACTER*1
+*> Specifies the form of the system of equations:
+*> = 'N': A * X = B (No transpose)
+*> = 'T': A**T * X = B (Transpose)
+*> = 'C': A**H * X = B (Conjugate Transpose = Transpose)
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of linear equations, i.e., the order of the
+*> matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension (LDA,N)
+*> On entry, the N-by-N matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] AF
+*> \verbatim
+*> AF is DOUBLE PRECISION array, dimension (LDAF,N)
+*> The factors L and U from the factorization
+*> A = P*L*U as computed by DGETRF.
+*> \endverbatim
+*>
+*> \param[in] LDAF
+*> \verbatim
+*> LDAF is INTEGER
+*> The leading dimension of the array AF. LDAF >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] IPIV
+*> \verbatim
+*> IPIV is INTEGER array, dimension (N)
+*> The pivot indices from the factorization A = P*L*U
+*> as computed by DGETRF; row i of the matrix was interchanged
+*> with row IPIV(i).
+*> \endverbatim
+*>
+*> \param[in] CMODE
+*> \verbatim
+*> CMODE is INTEGER
+*> Determines op2(C) in the formula op(A) * op2(C) as follows:
+*> CMODE = 1 op2(C) = C
+*> CMODE = 0 op2(C) = I
+*> CMODE = -1 op2(C) = inv(C)
+*> \endverbatim
+*>
+*> \param[in] C
+*> \verbatim
+*> C is DOUBLE PRECISION array, dimension (N)
+*> The vector C in the formula op(A) * op2(C).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: Successful exit.
+*> i > 0: The ith argument is invalid.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (3*N).
+*> Workspace.
+*> \endverbatim
+*>
+*> \param[out] IWORK
+*> \verbatim
+*> IWORK is INTEGER array, dimension (N).
+*> Workspace.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \ingroup doubleGEcomputational
+*
+* =====================================================================
+ DOUBLE PRECISION FUNCTION DLA_GERCOND( TRANS, N, A, LDA, AF,
+ $ LDAF, IPIV, CMODE, C,
+ $ INFO, WORK, IWORK )
+*
+* -- LAPACK computational routine --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
- IMPLICIT NONE
-* ..
* .. Scalar Arguments ..
CHARACTER TRANS
INTEGER N, LDA, LDAF, INFO, CMODE
@@ -22,69 +164,6 @@
$ C( * )
* ..
*
-* Purpose
-* =======
-*
-* DLA_GERCOND estimates the Skeel condition number of op(A) * op2(C)
-* where op2 is determined by CMODE as follows
-* CMODE = 1 op2(C) = C
-* CMODE = 0 op2(C) = I
-* CMODE = -1 op2(C) = inv(C)
-* The Skeel condition number cond(A) = norminf( |inv(A)||A| )
-* is computed by computing scaling factors R such that
-* diag(R)*A*op2(C) is row equilibrated and computing the standard
-* infinity-norm condition number.
-*
-* Arguments
-* ==========
-*
-* TRANS (input) CHARACTER*1
-* Specifies the form of the system of equations:
-* = 'N': A * X = B (No transpose)
-* = 'T': A**T * X = B (Transpose)
-* = 'C': A**H * X = B (Conjugate Transpose = Transpose)
-*
-* N (input) INTEGER
-* The number of linear equations, i.e., the order of the
-* matrix A. N >= 0.
-*
-* A (input) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the N-by-N matrix A.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* AF (input) DOUBLE PRECISION array, dimension (LDAF,N)
-* The factors L and U from the factorization
-* A = P*L*U as computed by DGETRF.
-*
-* LDAF (input) INTEGER
-* The leading dimension of the array AF. LDAF >= max(1,N).
-*
-* IPIV (input) INTEGER array, dimension (N)
-* The pivot indices from the factorization A = P*L*U
-* as computed by DGETRF; row i of the matrix was interchanged
-* with row IPIV(i).
-*
-* CMODE (input) INTEGER
-* Determines op2(C) in the formula op(A) * op2(C) as follows:
-* CMODE = 1 op2(C) = C
-* CMODE = 0 op2(C) = I
-* CMODE = -1 op2(C) = inv(C)
-*
-* C (input) DOUBLE PRECISION array, dimension (N)
-* The vector C in the formula op(A) * op2(C).
-*
-* INFO (output) INTEGER
-* = 0: Successful exit.
-* i > 0: The ith argument is invalid.
-*
-* WORK (input) DOUBLE PRECISION array, dimension (3*N).
-* Workspace.
-*
-* IWORK (input) INTEGER array, dimension (N).
-* Workspace.
-*
* =====================================================================
*
* .. Local Scalars ..
@@ -208,7 +287,7 @@
END IF
ELSE
*
-* Multiply by inv(C').
+* Multiply by inv(C**T).
*
IF ( CMODE .EQ. 1 ) THEN
DO I = 1, N
@@ -244,4 +323,6 @@
*
RETURN
*
+* End of DLA_GERCOND
+*
END