SLARZB (3)  Linux Manuals
NAME
slarzb.f 
SYNOPSIS
Functions/Subroutines
subroutine slarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
SLARZB applies a block reflector or its transpose to a general matrix.
Function/Subroutine Documentation
subroutine slarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, real, dimension( ldv, * )V, integerLDV, real, dimension( ldt, * )T, integerLDT, real, dimension( ldc, * )C, integerLDC, real, dimension( ldwork, * )WORK, integerLDWORK)
SLARZB applies a block reflector or its transpose to a general matrix.
Purpose:

SLARZB applies a real block reflector H or its transpose H**T to a real distributed MbyN C from the left or the right. Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
Parameters:

SIDE
SIDE is CHARACTER*1 = 'L': apply H or H**T from the Left = 'R': apply H or H**T from the Right
TRANSTRANS is CHARACTER*1 = 'N': apply H (No transpose) = 'C': apply H**T (Transpose)
DIRECTDIRECT is CHARACTER*1 Indicates how H is formed from a product of elementary reflectors = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet) = 'B': H = H(k) . . . H(2) H(1) (Backward)
STOREVSTOREV is CHARACTER*1 Indicates how the vectors which define the elementary reflectors are stored: = 'C': Columnwise (not supported yet) = 'R': Rowwise
MM is INTEGER The number of rows of the matrix C.
NN is INTEGER The number of columns of the matrix C.
KK is INTEGER The order of the matrix T (= the number of elementary reflectors whose product defines the block reflector).
LL is INTEGER The number of columns of the matrix V containing the meaningful part of the Householder reflectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
VV is REAL array, dimension (LDV,NV). If STOREV = 'C', NV = K; if STOREV = 'R', NV = L.
LDVLDV is INTEGER The leading dimension of the array V. If STOREV = 'C', LDV >= L; if STOREV = 'R', LDV >= K.
TT is REAL array, dimension (LDT,K) The triangular KbyK matrix T in the representation of the block reflector.
LDTLDT is INTEGER The leading dimension of the array T. LDT >= K.
CC is REAL array, dimension (LDC,N) On entry, the MbyN matrix C. On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
LDCLDC is INTEGER The leading dimension of the array C. LDC >= max(1,M).
WORKWORK is REAL array, dimension (LDWORK,K)
LDWORKLDWORK is INTEGER The leading dimension of the array WORK. If SIDE = 'L', LDWORK >= max(1,N); if SIDE = 'R', LDWORK >= max(1,M).
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 September 2012
Contributors:
 A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
Further Details:
Definition at line 183 of file slarzb.f.
Author
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