--- rpl/lapack/lapack/zhfrk.f 2011/07/22 07:38:15 1.6 +++ rpl/lapack/lapack/zhfrk.f 2011/11/21 20:43:12 1.7 @@ -1,15 +1,178 @@ - SUBROUTINE ZHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, - $ C ) +*> \brief \b ZHFRK +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZHFRK + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, +* C ) +* +* .. Scalar Arguments .. +* DOUBLE PRECISION ALPHA, BETA +* INTEGER K, LDA, N +* CHARACTER TRANS, TRANSR, UPLO +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ), C( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> Level 3 BLAS like routine for C in RFP Format. +*> +*> ZHFRK performs one of the Hermitian rank--k operations +*> +*> C := alpha*A*A**H + beta*C, +*> +*> or +*> +*> C := alpha*A**H*A + beta*C, +*> +*> where alpha and beta are real scalars, C is an n--by--n Hermitian +*> matrix and A is an n--by--k matrix in the first case and a k--by--n +*> matrix in the second case. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] TRANSR +*> \verbatim +*> TRANSR is CHARACTER*1 +*> = 'N': The Normal Form of RFP A is stored; +*> = 'C': The Conjugate-transpose Form of RFP A is stored. +*> \endverbatim +*> +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> On entry, UPLO specifies whether the upper or lower +*> triangular part of the array C is to be referenced as +*> follows: +*> +*> UPLO = 'U' or 'u' Only the upper triangular part of C +*> is to be referenced. +*> +*> UPLO = 'L' or 'l' Only the lower triangular part of C +*> is to be referenced. +*> +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] TRANS +*> \verbatim +*> TRANS is CHARACTER*1 +*> On entry, TRANS specifies the operation to be performed as +*> follows: +*> +*> TRANS = 'N' or 'n' C := alpha*A*A**H + beta*C. +*> +*> TRANS = 'C' or 'c' C := alpha*A**H*A + beta*C. +*> +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> On entry, N specifies the order of the matrix C. N must be +*> at least zero. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] K +*> \verbatim +*> K is INTEGER +*> On entry with TRANS = 'N' or 'n', K specifies the number +*> of columns of the matrix A, and on entry with +*> TRANS = 'C' or 'c', K specifies the number of rows of the +*> matrix A. K must be at least zero. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] ALPHA +*> \verbatim +*> ALPHA is DOUBLE PRECISION +*> On entry, ALPHA specifies the scalar alpha. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is COMPLEX*16 array of DIMENSION (LDA,ka) +*> where KA +*> is K when TRANS = 'N' or 'n', and is N otherwise. Before +*> entry with TRANS = 'N' or 'n', the leading N--by--K part of +*> the array A must contain the matrix A, otherwise the leading +*> K--by--N part of the array A must contain the matrix A. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> On entry, LDA specifies the first dimension of A as declared +*> in the calling (sub) program. When TRANS = 'N' or 'n' +*> then LDA must be at least max( 1, n ), otherwise LDA must +*> be at least max( 1, k ). +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] BETA +*> \verbatim +*> BETA is DOUBLE PRECISION +*> On entry, BETA specifies the scalar beta. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in,out] C +*> \verbatim +*> C is COMPLEX*16 array, dimension (N*(N+1)/2) +*> On entry, the matrix A in RFP Format. RFP Format is +*> described by TRANSR, UPLO and N. Note that the imaginary +*> parts of the diagonal elements need not be set, they are +*> assumed to be zero, and on exit they are set to zero. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 * -* -- LAPACK routine (version 3.3.1) -- +*> \ingroup complex16OTHERcomputational * -* -- Contributed by Julien Langou of the Univ. of Colorado Denver -- -* -- April 2011 -- +* ===================================================================== + SUBROUTINE ZHFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, + $ C ) * +* -- LAPACK computational routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * -* .. * .. Scalar Arguments .. DOUBLE PRECISION ALPHA, BETA INTEGER K, LDA, N @@ -19,94 +182,6 @@ COMPLEX*16 A( LDA, * ), C( * ) * .. * -* Purpose -* ======= -* -* Level 3 BLAS like routine for C in RFP Format. -* -* ZHFRK performs one of the Hermitian rank--k operations -* -* C := alpha*A*A**H + beta*C, -* -* or -* -* C := alpha*A**H*A + beta*C, -* -* where alpha and beta are real scalars, C is an n--by--n Hermitian -* matrix and A is an n--by--k matrix in the first case and a k--by--n -* matrix in the second case. -* -* Arguments -* ========== -* -* TRANSR (input) CHARACTER*1 -* = 'N': The Normal Form of RFP A is stored; -* = 'C': The Conjugate-transpose Form of RFP A is stored. -* -* UPLO (input) CHARACTER*1 -* On entry, UPLO specifies whether the upper or lower -* triangular part of the array C is to be referenced as -* follows: -* -* UPLO = 'U' or 'u' Only the upper triangular part of C -* is to be referenced. -* -* UPLO = 'L' or 'l' Only the lower triangular part of C -* is to be referenced. -* -* Unchanged on exit. -* -* TRANS (input) CHARACTER*1 -* On entry, TRANS specifies the operation to be performed as -* follows: -* -* TRANS = 'N' or 'n' C := alpha*A*A**H + beta*C. -* -* TRANS = 'C' or 'c' C := alpha*A**H*A + beta*C. -* -* Unchanged on exit. -* -* N (input) INTEGER -* On entry, N specifies the order of the matrix C. N must be -* at least zero. -* Unchanged on exit. -* -* K (input) INTEGER -* On entry with TRANS = 'N' or 'n', K specifies the number -* of columns of the matrix A, and on entry with -* TRANS = 'C' or 'c', K specifies the number of rows of the -* matrix A. K must be at least zero. -* Unchanged on exit. -* -* ALPHA (input) DOUBLE PRECISION -* On entry, ALPHA specifies the scalar alpha. -* Unchanged on exit. -* -* A (input) COMPLEX*16 array of DIMENSION (LDA,ka) -* where KA -* is K when TRANS = 'N' or 'n', and is N otherwise. Before -* entry with TRANS = 'N' or 'n', the leading N--by--K part of -* the array A must contain the matrix A, otherwise the leading -* K--by--N part of the array A must contain the matrix A. -* Unchanged on exit. -* -* LDA (input) INTEGER -* On entry, LDA specifies the first dimension of A as declared -* in the calling (sub) program. When TRANS = 'N' or 'n' -* then LDA must be at least max( 1, n ), otherwise LDA must -* be at least max( 1, k ). -* Unchanged on exit. -* -* BETA (input) DOUBLE PRECISION -* On entry, BETA specifies the scalar beta. -* Unchanged on exit. -* -* C (input/output) COMPLEX*16 array, dimension (N*(N+1)/2) -* On entry, the matrix A in RFP Format. RFP Format is -* described by TRANSR, UPLO and N. Note that the imaginary -* parts of the diagonal elements need not be set, they are -* assumed to be zero, and on exit they are set to zero. -* * ===================================================================== * * .. Parameters ..