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SRC/DEPRECATED/zlatzm.f(3) LAPACK SRC/DEPRECATED/zlatzm.f(3)

SRC/DEPRECATED/zlatzm.f


subroutine zlatzm (side, m, n, v, incv, tau, c1, c2, ldc, work)
ZLATZM

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This routine is deprecated and has been replaced by routine ZUNMRZ.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.

Definition at line 151 of file zlatzm.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:30 Version 3.12.1

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