sorglq.f(3)

NAME
sorglq.f -

SYNOPSIS

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

Function/Subroutine Documentation

  subroutine sorglq (integerM, integerN, integerK, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO)

SORGLQ

Purpose:

     SORGLQ generates an M-by-N real 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(2) H(1)
     as returned by SGELQF.

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 REAL 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 SGELQF 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 REAL array, dimension (K)
              TAU(i) must contain the scalar factor of the elementary
              reflector H(i), as returned by SGELQF.

    WORK

              WORK is REAL 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 sorglq.f.

Author

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