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)