CLATZM(3) LAPACK routine of NEC Numeric Library Collection CLATZM(3)
NAME
CLATZM
SYNOPSIS
SUBROUTINE CLATZM (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK)
PURPOSE
This routine is deprecated and has been replaced by routine CUNMRZ.
CLATZM applies a Householder matrix generated by CTZRQF 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.
ARGUMENTS
SIDE (input)
SIDE is CHARACTER*1
= 'L': form P * C
= 'R': form C * P
M (input)
M is INTEGER
The number of rows of the matrix C.
N (input)
N is INTEGER
The number of columns of the matrix C.
V (input)
V is COMPLEX 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)
INCV is INTEGER
The increment between elements of v. INCV <> 0
TAU (input)
TAU is COMPLEX
The value tau in the representation of P.
C1 (input/output)
C1 is COMPLEX 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)
C2 is COMPLEX 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)
LDC is INTEGER
The leading dimension of the arrays C1 and C2.
LDC >= max(1,M).
WORK (output)
WORK is COMPLEX array, dimension
(N) if SIDE = 'L'
(M) if SIDE = 'R'
LAPACK routine 31 October 2017 CLATZM(3)