zlatzm(3)

NAME

ZLATZM - routine is deprecated and has been replaced by

routine ZUNMRZ

SYNOPSIS

SUBROUTINE  ZLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC,
WORK )
    CHARACTER      SIDE
    INTEGER        INCV, LDC, M, N
    COMPLEX*16     TAU
    COMPLEX*16     C1( LDC, * ), C2( LDC, *  ),  V(  *  ),
WORK( * )

PURPOSE

This routine is deprecated and has been replaced by rou

tine ZUNMRZ. ZLATZM applies a Householder matrix generated by

ZTZRQF 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) vec

tor 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) COMPLEX*16 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) COMPLEX*16

The value tau in the representation of P.

C1 (input/output) COMPLEX*16 array, dimension

(LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On en

try, 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) COMPLEX*16 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 >= max(1,M).

WORK (workspace) COMPLEX*16 array, dimension

(N) if SIDE = 'L' (M) if SIDE = 'R'

LAPACK version 3.0 15 June 2000

ZLATZM(3)