TESTING/LIN/dgerqs.f(3)

NAME
TESTING/LIN/dgerqs.f

SYNOPSIS

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

Function/Subroutine Documentation

  subroutine dgerqs (integer m, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tau, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( lwork ) work, integer lwork, integer info)

DGERQS

Purpose:

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

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 DOUBLE PRECISION array, dimension (LDA,N)
              Details of the RQ factorization of the original matrix A as
              returned by DGERQF.

    LDA

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

    TAU

              TAU is DOUBLE PRECISION array, dimension (M)
              Details of the orthogonal matrix Q.

    B

              B is DOUBLE PRECISION 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 DOUBLE PRECISION 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 dgerqs.f.

Author

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