Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - equilibrates a general M by N matrix A using the row and column scaling factors
       in the vectors R and C

SYNOPSIS

       SUBROUTINE ZLAQGE( M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED )

           CHARACTER      EQUED

           INTEGER        LDA, M, N

           DOUBLE         PRECISION AMAX, COLCND, ROWCND

           DOUBLE         PRECISION C( * ), R( * )

           COMPLEX*16     A( LDA, * )

PURPOSE

       ZLAQGE equilibrates a general M by N matrix A using the row and column scaling factors  in
       the vectors R and C.

ARGUMENTS

        M       (input) INTEGER
                The number of rows of the matrix A.  M >= 0.

        N       (input) INTEGER
                The number of columns of the matrix A.  N >= 0.

        A       (input/output) COMPLEX*16 array, dimension (LDA,N)
                On entry, the M by N matrix A.
                On exit, the equilibrated matrix.  See EQUED for the form of
                the equilibrated matrix.

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

        R       (input) DOUBLE PRECISION array, dimension (M)
                The row scale factors for A.

        C       (input) DOUBLE PRECISION array, dimension (N)
                The column scale factors for A.

        ROWCND  (input) DOUBLE PRECISION
                Ratio of the smallest R(i) to the largest R(i).

        COLCND  (input) DOUBLE PRECISION
                Ratio of the smallest C(i) to the largest C(i).

        AMAX    (input) DOUBLE PRECISION
                Absolute value of largest matrix entry.

        EQUED   (output) CHARACTER*1
                Specifies the form of equilibration that was done.
                = 'N':  No equilibration
                = 'R':  Row equilibration, i.e., A has been premultiplied by
                diag(R).
                = 'C':  Column equilibration, i.e., A has been postmultiplied
                by diag(C).
                = 'B':  Both row and column equilibration, i.e., A has been
                replaced by diag(R) * A * diag(C).

PARAMETERS

        THRESH is a threshold value used to decide if row or column scaling
        should be done based on the ratio of the row or column scaling
        factors.  If ROWCND < THRESH, row scaling is done, and if
        COLCND < THRESH, column scaling is done.
        LARGE and SMALL are threshold values used to decide if row scaling
        should be done based on the absolute size of the largest matrix
        element.  If AMAX > LARGE or AMAX < SMALL, row scaling is done.

 LAPACK auxiliary routine (version 3.2)     April 2011                            ZLAQGE(3lapack)