zlatzm (3) - Linux Manuals

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 This routine is deprecated and has been replaced by routine ZUNMRZ.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