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zlatzm.f(3) LAPACK zlatzm.f(3)

NAME

zlatzm.f -

SYNOPSIS

Functions/Subroutines


subroutine zlatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK)
ZLATZM

Function/Subroutine Documentation

subroutine zlatzm (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C1, complex*16, dimension( ldc, * )C2, integerLDC, complex*16, dimension( * )WORK)

ZLATZM

Purpose:


This routine is deprecated and has been replaced by routine ZUNMRZ.
ZLATZM applies a Householder matrix generated by ZTZRQF to a matrix.
Let P = I - tau*u*u**H, 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.

Parameters:

SIDE


SIDE is CHARACTER*1
= 'L': form P * C
= 'R': form C * P

M


M is INTEGER
The number of rows of the matrix C.

N


N is INTEGER
The number of columns of the matrix C.

V


V is 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


INCV is INTEGER
The increment between elements of v. INCV <> 0

TAU


TAU is COMPLEX*16
The value tau in the representation of P.

C1


C1 is COMPLEX*16 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


C2 is 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


LDC is INTEGER
The leading dimension of the arrays C1 and C2.
LDC >= max(1,M).

WORK


WORK is COMPLEX*16 array, dimension
(N) if SIDE = 'L'
(M) if SIDE = 'R'

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Definition at line 153 of file zlatzm.f.

Author

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Tue Sep 25 2012 Version 3.4.2