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slarz.f(3) | LAPACK | slarz.f(3) |
NAME¶
slarz.f -SYNOPSIS¶
Functions/Subroutines¶
subroutine slarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
Function/Subroutine Documentation¶
subroutine slarz (characterSIDE, integerM, integerN, integerL, real, dimension( * )V, integerINCV, realTAU, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK)¶
SLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. Purpose:SLARZ applies a real elementary reflector H to a real M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**T where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix. H is a product of k elementary reflectors as returned by STZRZF.
SIDE
Author:
SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * HM
M is INTEGER The number of rows of the matrix C.N
N is INTEGER The number of columns of the matrix C.L
L is INTEGER The number of entries of the vector V containing the meaningful part of the Householder vectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.V
V is REAL array, dimension (1+(L-1)*abs(INCV)) The vector v in the representation of H as returned by STZRZF. V is not used if TAU = 0.INCV
INCV is INTEGER The increment between elements of v. INCV <> 0.TAU
TAU is REAL The value tau in the representation of H.C
C is REAL array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.LDC
LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M).WORK
WORK is REAL array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R'
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:
Author¶
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