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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- DOUBLE PRECISION FUNCTION ZLA_HERPVGRW( UPLO, N, INFO, A, LDA, AF,
- $ LDAF, IPIV, WORK )
+*> \brief \b ZLA_HERPVGRW
*
-* -- LAPACK routine (version 3.2.2) --
-* -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and --
-* -- Jason Riedy of Univ. of California Berkeley. --
-* -- June 2010 --
+* =========== DOCUMENTATION ===========
*
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley and NAG Ltd. --
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
- IMPLICIT NONE
-* ..
-* .. Scalar Arguments ..
- CHARACTER*1 UPLO
- INTEGER N, INFO, LDA, LDAF
-* ..
-* .. Array Arguments ..
- INTEGER IPIV( * )
- COMPLEX*16 A( LDA, * ), AF( LDAF, * )
- DOUBLE PRECISION WORK( * )
-* ..
+* Definition
+* ==========
*
+* DOUBLE PRECISION FUNCTION ZLA_HERPVGRW( UPLO, N, INFO, A, LDA, AF,
+* LDAF, IPIV, WORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER*1 UPLO
+* INTEGER N, INFO, LDA, LDAF
+* ..
+* .. Array Arguments ..
+* INTEGER IPIV( * )
+* COMPLEX*16 A( LDA, * ), AF( LDAF, * )
+* DOUBLE PRECISION WORK( * )
+* ..
+*
* Purpose
* =======
-*
-* ZLA_HERPVGRW computes the reciprocal pivot growth factor
-* norm(A)/norm(U). The "max absolute element" norm is used. If this is
-* much less than 1, the stability of the LU factorization of the
-* (equilibrated) matrix A could be poor. This also means that the
-* solution X, estimated condition numbers, and error bounds could be
-* unreliable.
+*
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> ZLA_HERPVGRW computes the reciprocal pivot growth factor
+*> norm(A)/norm(U). The "max absolute element" norm is used. If this is
+*> much less than 1, the stability of the LU factorization of the
+*> (equilibrated) matrix A could be poor. This also means that the
+*> solution X, estimated condition numbers, and error bounds could be
+*> unreliable.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \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] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> The value of INFO returned from ZHETRF, .i.e., the pivot in
+*> column INFO is exactly 0.
+*> \endverbatim
+*>
+*> \param[in] NCOLS
+*> \verbatim
+*> NCOLS is INTEGER
+*> The number of columns of the matrix A. NCOLS >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 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 COMPLEX*16 array, dimension (LDAF,N)
+*> The block diagonal matrix D and the multipliers used to
+*> obtain the factor U or L as computed by ZHETRF.
+*> \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)
+*> Details of the interchanges and the block structure of D
+*> as determined by ZHETRF.
+*> \endverbatim
+*>
+*> \param[in] WORK
+*> \verbatim
+*> WORK is COMPLEX*16 array, dimension (2*N)
+*> \endverbatim
+*>
*
-* N (input) INTEGER
-* The number of linear equations, i.e., the order of the
-* matrix A. N >= 0.
-*
-* INFO (input) INTEGER
-* The value of INFO returned from ZHETRF, .i.e., the pivot in
-* column INFO is exactly 0.
-*
-* NCOLS (input) INTEGER
-* The number of columns of the matrix A. NCOLS >= 0.
+* Authors
+* =======
*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the N-by-N matrix A.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
+*> \date November 2011
*
-* AF (input) COMPLEX*16 array, dimension (LDAF,N)
-* The block diagonal matrix D and the multipliers used to
-* obtain the factor U or L as computed by ZHETRF.
+*> \ingroup complex16HEcomputational
*
-* LDAF (input) INTEGER
-* The leading dimension of the array AF. LDAF >= max(1,N).
+* =====================================================================
+ DOUBLE PRECISION FUNCTION ZLA_HERPVGRW( UPLO, N, INFO, A, LDA, AF,
+ $ LDAF, IPIV, WORK )
*
-* IPIV (input) INTEGER array, dimension (N)
-* Details of the interchanges and the block structure of D
-* as determined by ZHETRF.
+* -- LAPACK computational routine (version 3.2.2) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* WORK (input) COMPLEX*16 array, dimension (2*N)
+* .. Scalar Arguments ..
+ CHARACTER*1 UPLO
+ INTEGER N, INFO, LDA, LDAF
+* ..
+* .. Array Arguments ..
+ INTEGER IPIV( * )
+ COMPLEX*16 A( LDA, * ), AF( LDAF, * )
+ DOUBLE PRECISION WORK( * )
+* ..
*
* =====================================================================
*