NAME

       zlaqsp.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED)
           ZLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors
           computed by sppequ.

Function/Subroutine Documentation

   subroutine zlaqsp (character UPLO, integer N, complex*16, dimension( * ) AP, double precision,
       dimension( * ) S, double precision SCOND, double precision AMAX, character EQUED)
       ZLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors
       computed by sppequ.

       Purpose:

            ZLAQSP equilibrates a symmetric matrix A using the scaling factors
            in the vector S.

       Parameters:
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the upper or lower triangular part of the
                     symmetric matrix A is stored.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           AP

                     AP is COMPLEX*16 array, dimension (N*(N+1)/2)
                     On entry, the upper or lower triangle of the symmetric matrix
                     A, packed columnwise in a linear array.  The j-th column of A
                     is stored in the array AP as follows:
                     if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
                     if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

                     On exit, the equilibrated matrix:  diag(S) * A * diag(S), in
                     the same storage format as A.

           S

                     S is DOUBLE PRECISION array, dimension (N)
                     The scale factors for A.

           SCOND

                     SCOND is DOUBLE PRECISION
                     Ratio of the smallest S(i) to the largest S(i).

           AMAX

                     AMAX is DOUBLE PRECISION
                     Absolute value of largest matrix entry.

           EQUED

                     EQUED is CHARACTER*1
                     Specifies whether or not equilibration was done.
                     = 'N':  No equilibration.
                     = 'Y':  Equilibration was done, i.e., A has been replaced by
                             diag(S) * A * diag(S).

       Internal Parameters:

             THRESH is a threshold value used to decide if scaling should be done
             based on the ratio of the scaling factors.  If SCOND < THRESH,
             scaling is done.

             LARGE and SMALL are threshold values used to decide if scaling should
             be done based on the absolute size of the largest matrix element.
             If AMAX > LARGE or AMAX < SMALL, scaling is done.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

Author

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