chfrk (3)  Linux Manuals
NAME
chfrk.f 
SYNOPSIS
Functions/Subroutines
subroutine chfrk (TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
CHFRK performs a Hermitian rankk operation for matrix in RFP format.
Function/Subroutine Documentation
subroutine chfrk (characterTRANSR, characterUPLO, characterTRANS, integerN, integerK, realALPHA, complex, dimension( lda, * )A, integerLDA, realBETA, complex, dimension( * )C)
CHFRK performs a Hermitian rankk operation for matrix in RFP format.
Purpose:

Level 3 BLAS like routine for C in RFP Format. CHFRK performs one of the Hermitian rankk 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 nbyn Hermitian matrix and A is an nbyk matrix in the first case and a kbyn matrix in the second case.
Parameters:

TRANSR
TRANSR is CHARACTER*1 = 'N': The Normal Form of RFP A is stored; = 'C': The Conjugatetranspose Form of RFP A is stored.
UPLOUPLO 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.
TRANSTRANS 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.
NN is INTEGER On entry, N specifies the order of the matrix C. N must be at least zero. Unchanged on exit.
KK 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.
ALPHAALPHA is REAL On entry, ALPHA specifies the scalar alpha. Unchanged on exit.
AA is COMPLEX array, 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 NbyK part of the array A must contain the matrix A, otherwise the leading KbyN part of the array A must contain the matrix A. Unchanged on exit.
LDALDA 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.
BETABETA is REAL On entry, BETA specifies the scalar beta. Unchanged on exit.
CC is COMPLEX 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.
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 September 2012
Definition at line 168 of file chfrk.f.
Author
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