zupmtr.f(3)

NAME
zupmtr.f -

SYNOPSIS

  Functions/Subroutines
subroutine zupmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO)
ZUPMTR

Function/Subroutine Documentation

  subroutine zupmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, complex*16, dimension( * )AP, complex*16, dimension( * )TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK, integerINFO)

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.

Date:
    November 2011

Definition at line 150 of file zupmtr.f.

Author

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