zunmtr(3F)

NAME
     ZUNMTR - overwrite the general complex M-by-N matrix C with   SIDE = 'L'
     SIDE = 'R' TRANS = 'N'

SYNOPSIS
     SUBROUTINE ZUNMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK,
                        LWORK, INFO )

         CHARACTER      SIDE, TRANS, UPLO

         INTEGER        INFO, LDA, LDC, LWORK, M, N

         COMPLEX*16     A( LDA, * ), C( LDC, * ), TAU( * ), WORK( LWORK )

PURPOSE
     ZUNMTR overwrites the general complex M-by-N matrix C with TRANS = 'C':
     Q**H * C       C * Q**H

     where Q is a complex unitary matrix of order nq, with nq = m if SIDE =
     'L' and nq = n if SIDE = 'R'. Q is defined as the product of nq-1
     elementary reflectors, as returned by ZHETRD:

     if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);

     if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).


ARGUMENTS
     SIDE    (input) CHARACTER*1
             = 'L': apply Q or Q**H from the Left;
             = 'R': apply Q or Q**H from the Right.

     UPLO    (input) CHARACTER*1
             = 'U': Upper triangle of A contains elementary reflectors from
             ZHETRD; = 'L': Lower triangle of A contains elementary reflectors
             from ZHETRD.

     TRANS   (input) CHARACTER*1
             = 'N':  No transpose, apply Q;
             = 'C':  Conjugate transpose, apply Q**H.

     M       (input) INTEGER
             The number of rows of the matrix C. M >= 0.

     N       (input) INTEGER
             The number of columns of the matrix C. N >= 0.

     A       (input) COMPLEX*16 array, dimension
             (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which
             define the elementary reflectors, as returned by ZHETRD.
     LDA     (input) INTEGER
             The leading dimension of the array A.  LDA >= max(1,M) if SIDE =
             'L'; LDA >= max(1,N) if SIDE = 'R'.

     TAU     (input) COMPLEX*16 array, dimension
             (M-1) if SIDE = 'L' (N-1) if SIDE = 'R' TAU(i) must contain the
             scalar factor of the elementary reflector H(i), as returned by
             ZHETRD.

     C       (input/output) COMPLEX*16 array, dimension (LDC,N)
             On entry, the M-by-N matrix C.  On exit, C is overwritten by Q*C
             or Q**H*C or C*Q**H or C*Q.

     LDC     (input) INTEGER
             The leading dimension of the array C. LDC >= max(1,M).

     WORK    (workspace/output) COMPLEX*16 array, dimension (LWORK)
             On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

     LWORK   (input) INTEGER
             The dimension of the array WORK.  If SIDE = 'L', LWORK >=
             max(1,N); if SIDE = 'R', LWORK >= max(1,M).  For optimum
             performance LWORK >= N*NB if SIDE = 'L', and LWORK >=M*NB if SIDE
             = 'R', where NB is the optimal blocksize.

     INFO    (output) INTEGER
             = 0:  successful exit
             < 0:  if INFO = -i, the i-th argument had an illegal value