DLATZM(3)      LAPACK routine of NEC Numeric Library Collection      DLATZM(3)



NAME
       DLATZM

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



PURPOSE
            This routine is deprecated and has been replaced by routine DORMRZ.

            DLATZM applies a Householder matrix generated by DTZRQF to a matrix.

            Let P = I - tau*u*u**T,   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 DOUBLE PRECISION 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 DOUBLE PRECISION
                     The value tau in the representation of P.

           C1        (input/output)
                     C1 is DOUBLE PRECISION 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 DOUBLE PRECISION 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 >= (1,M).

           WORK      (output)
                     WORK is DOUBLE PRECISION array, dimension
                                 (N) if SIDE = 'L'
                                 (M) if SIDE = 'R'



LAPACK routine                  31 October 2017                      DLATZM(3)