TESTING/LIN/sgerqs.f(3)

NAME
TESTING/LIN/sgerqs.f

SYNOPSIS

  Functions/Subroutines
subroutine sgerqs (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)
SGERQS

Function/Subroutine Documentation

  subroutine sgerqs (integer m, integer n, integer nrhs, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tau, real, dimension( ldb, * ) b, integer ldb, real, dimension( lwork ) work, integer lwork, integer info)

SGERQS

Purpose:

    !>
    !> Compute a minimum-norm solution
    !>     min || A*X - B ||
    !> using the RQ factorization
    !>     A = R*Q
    !> computed by SGERQF.
    !>

Parameters
    M

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

    N

    !>          N is INTEGER
    !>          The number of columns of the matrix A.  N >= M >= 0.
    !>

    NRHS

    !>          NRHS is INTEGER
    !>          The number of columns of B.  NRHS >= 0.
    !>

    A

    !>          A is REAL array, dimension (LDA,N)
    !>          Details of the RQ factorization of the original matrix A as
    !>          returned by SGERQF.
    !>

    LDA

    !>          LDA is INTEGER
    !>          The leading dimension of the array A.  LDA >= M.
    !>

    TAU

    !>          TAU is REAL array, dimension (M)
    !>          Details of the orthogonal matrix Q.
    !>

    B

    !>          B is REAL array, dimension (LDB,NRHS)
    !>          On entry, the right hand side vectors for the linear system.
    !>          On exit, the solution vectors X.  Each solution vector
    !>          is contained in rows 1:N of a column of B.
    !>

    LDB

    !>          LDB is INTEGER
    !>          The leading dimension of the array B. LDB >= max(1,N).
    !>

    WORK

    !>          WORK is REAL array, dimension (LWORK)
    !>

    LWORK

    !>          LWORK is INTEGER
    !>          The length of the array WORK.  LWORK must be at least NRHS,
    !>          and should be at least NRHS*NB, where NB is the block size
    !>          for this environment.
    !>

    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 120 of file sgerqs.f.

Author

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