man clarfx (Fonctions bibliothèques) - applie a complex elementary reflector H to a complex m by n matrix C, from either the left or the right
NAME
CLARFX - applie a complex elementary reflector H to a complex m by n matrix C, from either the left or the right
SYNOPSIS
- SUBROUTINE CLARFX(
- SIDE, M, N, V, TAU, C, LDC, WORK )
- CHARACTER SIDE
- INTEGER LDC, M, N
- COMPLEX TAU
- COMPLEX C( LDC, * ), V( * ), WORK( * )
PURPOSE
CLARFX applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right. H is represented in the form
H = I - tau * v * v'
where tau is a complex scalar and v is a complex vector.
If tau = 0, then H is taken to be the unit matrix
This version uses inline code if H has order < 11.
ARGUMENTS
- SIDE (input) CHARACTER*1
- = 'L': form H * C
= 'R': form C * H - M (input) INTEGER
- The number of rows of the matrix C.
- N (input) INTEGER
- The number of columns of the matrix C.
- V (input) COMPLEX array, dimension (M) if SIDE = 'L'
- or (N) if SIDE = 'R' The vector v in the representation of H.
- TAU (input) COMPLEX
- The value tau in the representation of H.
- C (input/output) COMPLEX 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 (input) INTEGER
- The leading dimension of the array C. LDA >= max(1,M).
- WORK (workspace) COMPLEX array, dimension (N) if SIDE = 'L'
- or (M) if SIDE = 'R' WORK is not referenced if H has order < 11.