slarz.f - Man Page
SRC/slarz.f
Synopsis
Functions/Subroutines
subroutine slarz (side, m, n, l, v, incv, tau, c, ldc, work)
SLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.
Function/Subroutine Documentation
subroutine slarz (character side, integer m, integer n, integer l, real, dimension( * ) v, integer incv, real tau, real, dimension( ldc, * ) c, integer ldc, 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.
- Parameters
SIDE
SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * H
M
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'
- Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
- Contributors:
A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
Further Details:
Definition at line 144 of file slarz.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page slarz(3) is an alias of slarz.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK