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

NAME

       LAPACK-3  -  equilibrates  a  general  M  by  N  band matrix A with KL subdiagonals and KU
       superdiagonals using the row and scaling factors in the vectors R and C

SYNOPSIS

       SUBROUTINE CLAQGB( M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED )

           CHARACTER      EQUED

           INTEGER        KL, KU, LDAB, M, N

           REAL           AMAX, COLCND, ROWCND

           REAL           C( * ), R( * )

           COMPLEX        AB( LDAB, * )

PURPOSE

       CLAQGB equilibrates a  general  M  by  N  band  matrix  A  with  KL  subdiagonals  and  KU
       superdiagonals using the row and 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.

        KL      (input) INTEGER
                The number of subdiagonals within the band of A.  KL >= 0.

        KU      (input) INTEGER
                The number of superdiagonals within the band of A.  KU >= 0.

        AB      (input/output) COMPLEX array, dimension (LDAB,N)
                On entry, the matrix A in band storage, in rows 1 to KL+KU+1.
                The j-th column of A is stored in the j-th column of the
                array AB as follows:
                AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl)
                On exit, the equilibrated matrix, in the same storage format
                as A.  See EQUED for the form of the equilibrated matrix.

        LDAB    (input) INTEGER
                The leading dimension of the array AB.  LDA >= KL+KU+1.

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

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

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

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

        AMAX    (input) REAL
                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                            CLAQGB(3lapack)