SRC/zupmtr.f(3)            Library Functions Manual            SRC/zupmtr.f(3)

NAME
       SRC/zupmtr.f

SYNOPSIS
   Functions/Subroutines
       subroutine zupmtr (side, uplo, trans, m, n, ap, tau, c, ldc, work,
           info)
           ZUPMTR

Function/Subroutine Documentation
   subroutine zupmtr (character side, character uplo, character trans, integer
       m, integer n, complex*16, dimension( * ) ap, complex*16, dimension( * )
       tau, complex*16, dimension( ldc, * ) c, integer ldc, complex*16,
       dimension( * ) work, integer info)
       ZUPMTR

       Purpose:


            ZUPMTR overwrites the general complex M-by-N matrix C with

                            SIDE = 'L'     SIDE = 'R'
            TRANS = 'N':      Q * C          C * Q
            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 ZHPTRD using packed
            storage:

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

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

       Parameters
           SIDE

                     SIDE is CHARACTER*1
                     = 'L': apply Q or Q**H from the Left;
                     = 'R': apply Q or Q**H from the Right.

           UPLO

                     UPLO is CHARACTER*1
                     = 'U': Upper triangular packed storage used in previous
                            call to ZHPTRD;
                     = 'L': Lower triangular packed storage used in previous
                            call to ZHPTRD.

           TRANS

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

           M

                     M is INTEGER
                     The number of rows of the matrix C. M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix C. N >= 0.

           AP

                     AP is COMPLEX*16 array, dimension
                                          (M*(M+1)/2) if SIDE = 'L'
                                          (N*(N+1)/2) if SIDE = 'R'
                     The vectors which define the elementary reflectors, as
                     returned by ZHPTRD.  AP is modified by the routine but
                     restored on exit.

           TAU

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

           C

                     C is 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

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

           WORK

                     WORK is COMPLEX*16 array, dimension
                                              (N) if SIDE = 'L'
                                              (M) if SIDE = 'R'

           INFO

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

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 148 of file zupmtr.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/zupmtr.f(3)