zunglq.f(3)

NAME
zunglq.f -

SYNOPSIS

  Functions/Subroutines
subroutine zunglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
ZUNGLQ

Function/Subroutine Documentation

  subroutine zunglq (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerLWORK, integerINFO)

ZUNGLQ

Purpose:

     ZUNGLQ generates an M-by-N complex matrix Q with orthonormal rows,
     which is defined as the first M rows of a product of K elementary
     reflectors of order N
           Q  =  H(k)**H . . . H(2)**H H(1)**H
     as returned by ZGELQF.

Parameters:
    M

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

    N

              N is INTEGER
              The number of columns of the matrix Q. N >= M.

    K

              K is INTEGER
              The number of elementary reflectors whose product defines the
              matrix Q. M >= K >= 0.

    A

              A is COMPLEX*16 array, dimension (LDA,N)
              On entry, the i-th row must contain the vector which defines
              the elementary reflector H(i), for i = 1,2,...,k, as returned
              by ZGELQF in the first k rows of its array argument A.
              On exit, the M-by-N matrix Q.

    LDA

              LDA is INTEGER
              The first dimension of the array A. LDA >= max(1,M).

    TAU

              TAU is COMPLEX*16 array, dimension (K)
              TAU(i) must contain the scalar factor of the elementary
              reflector H(i), as returned by ZGELQF.

    WORK

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

    LWORK

              LWORK is INTEGER
              The dimension of the array WORK. LWORK >= max(1,M).
              For optimum performance LWORK >= M*NB, where NB is
              the optimal blocksize.
              If LWORK = -1, then a workspace query is assumed; the routine
              only calculates the optimal size of the WORK array, returns
              this value as the first entry of the WORK array, and no error
              message related to LWORK is issued by XERBLA.

    INFO

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

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    November 2011

Definition at line 128 of file zunglq.f.

Author

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