man slatzm (Fonctions bibliothèques) - routine is deprecated and has been replaced by routine SORMRZ

NAME

SLATZM - routine is deprecated and has been replaced by routine SORMRZ

SYNOPSIS

SUBROUTINE SLATZM(
SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK )
CHARACTER SIDE
INTEGER INCV, LDC, M, N
REAL TAU
REAL C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * )

PURPOSE

This routine is deprecated and has been replaced by routine SORMRZ. SLATZM applies a Householder matrix generated by STZRQF to a matrix.

Let P = I - tau*u*u', u = ( 1 ),

( v )

where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE = 'R'.

If SIDE equals 'L', let

C = [ C1 ] 1

[ C2 ] m-1

n

Then C is overwritten by P*C.

If SIDE equals 'R', let

C = [ C1, C2 ] m

1 n-1

Then C is overwritten by C*P.

ARGUMENTS

SIDE (input) CHARACTER*1
= 'L': form P * C

= 'R': form C * P
M (input) INTEGER
The number of rows of the matrix C.
N (input) INTEGER
The number of columns of the matrix C.
V (input) REAL array, dimension
(1 + (M-1)*abs(INCV)) if SIDE = 'L' (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of P. V is not used if TAU = 0.
INCV (input) INTEGER
The increment between elements of v. INCV <> 0
TAU (input) REAL
The value tau in the representation of P.
C1 (input/output) REAL array, dimension
(LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'.

On exit, the first row of P*C if SIDE = 'L', or the first column of C*P if SIDE = 'R'.

C2 (input/output) REAL array, dimension
(LDC, N) if SIDE = 'L' (LDC, N-1) if SIDE = 'R' On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix C2 if SIDE = 'R'.

On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P if SIDE = 'R'.

LDC (input) INTEGER
The leading dimension of the arrays C1 and C2. LDC >= (1,M).
WORK (workspace) REAL array, dimension
(N) if SIDE = 'L' (M) if SIDE = 'R'