Contents


NAME

     dlatzm - routine is deprecated and has been replaced by rou-
     tine SORMRZ

SYNOPSIS

     SUBROUTINE DLATZM(SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK)

     CHARACTER * 1 SIDE
     INTEGER M, N, INCV, LDC
     DOUBLE PRECISION TAU
     DOUBLE PRECISION V(*), C1(LDC,*), C2(LDC,*), WORK(*)

     SUBROUTINE DLATZM_64(SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK)

     CHARACTER * 1 SIDE
     INTEGER*8 M, N, INCV, LDC
     DOUBLE PRECISION TAU
     DOUBLE PRECISION V(*), C1(LDC,*), C2(LDC,*), WORK(*)

  F95 INTERFACE
     SUBROUTINE LATZM(SIDE, [M], [N], V, [INCV], TAU, C1, C2, [LDC], [WORK])

     CHARACTER(LEN=1) :: SIDE
     INTEGER :: M, N, INCV, LDC
     REAL(8) :: TAU
     REAL(8), DIMENSION(:) :: V, WORK
     REAL(8), DIMENSION(:,:) :: C1, C2

     SUBROUTINE LATZM_64(SIDE, [M], [N], V, [INCV], TAU, C1, C2, [LDC],
            [WORK])

     CHARACTER(LEN=1) :: SIDE
     INTEGER(8) :: M, N, INCV, LDC
     REAL(8) :: TAU
     REAL(8), DIMENSION(:) :: V, WORK
     REAL(8), DIMENSION(:,:) :: C1, C2

  C INTERFACE
     #include <sunperf.h>

     void dlatzm(char side, int m, int n, double  *v,  int  incv,
               double tau, double *c1, double *c2, int ldc);

     void dlatzm_64(char side, long m, long n,  double  *v,  long
               incv,  double  tau,  double  *c1, double *c2, long
               ldc);

PURPOSE

     dlatzm routine is deprecated and has been replaced  by  rou-
     tine SORMRZ.

     SLATZM applies a Householder matrix generated by STZRQF 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)  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)
               = 'L': form P * C
               = 'R': form C * P

     M (input) The number of rows of the matrix C.

     N (input) The number of columns of the matrix C.

     V (input) (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)
               The increment between elements of v. INCV <> 0

     TAU (input)
               The value tau in the representation of P.

     C1 (input/output)
               (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)
               (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)
               The leading dimension of the arrays C1 and C2. LDC
               >= (1,M).

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