NAME

       larrc - larrc: step in stemr

SYNOPSIS

   Functions
       subroutine dlarrc (jobt, n, vl, vu, d, e, pivmin, eigcnt, lcnt, rcnt, info)
           DLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.
       subroutine slarrc (jobt, n, vl, vu, d, e, pivmin, eigcnt, lcnt, rcnt, info)
           SLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.

Detailed Description

Function Documentation

   subroutine dlarrc (character jobt, integer n, double precision vl, double precision vu, double
       precision, dimension( * ) d, double precision, dimension( * ) e, double precision pivmin,
       integer eigcnt, integer lcnt, integer rcnt, integer info)
       DLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.

       Purpose:

            Find the number of eigenvalues of the symmetric tridiagonal matrix T
            that are in the interval (VL,VU] if JOBT = 'T', and of L D L^T
            if JOBT = 'L'.

       Parameters
           JOBT

                     JOBT is CHARACTER*1
                     = 'T':  Compute Sturm count for matrix T.
                     = 'L':  Compute Sturm count for matrix L D L^T.

           N

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

           VL

                     VL is DOUBLE PRECISION
                     The lower bound for the eigenvalues.

           VU

                     VU is DOUBLE PRECISION
                     The upper bound for the eigenvalues.

           D

                     D is DOUBLE PRECISION array, dimension (N)
                     JOBT = 'T': The N diagonal elements of the tridiagonal matrix T.
                     JOBT = 'L': The N diagonal elements of the diagonal matrix D.

           E

                     E is DOUBLE PRECISION array, dimension (N)
                     JOBT = 'T': The N-1 offdiagonal elements of the matrix T.
                     JOBT = 'L': The N-1 offdiagonal elements of the matrix L.

           PIVMIN

                     PIVMIN is DOUBLE PRECISION
                     The minimum pivot in the Sturm sequence for T.

           EIGCNT

                     EIGCNT is INTEGER
                     The number of eigenvalues of the symmetric tridiagonal matrix T
                     that are in the interval (VL,VU]

           LCNT

                     LCNT is INTEGER

           RCNT

                     RCNT is INTEGER
                     The left and right negcounts of the interval.

           INFO

                     INFO is INTEGER

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Contributors:
           Beresford Parlett, University of California, Berkeley, USA
            Jim Demmel, University of California, Berkeley, USA
            Inderjit Dhillon, University of Texas, Austin, USA
            Osni Marques, LBNL/NERSC, USA
            Christof Voemel, University of California, Berkeley, USA

   subroutine slarrc (character jobt, integer n, real vl, real vu, real, dimension( * ) d, real,
       dimension( * ) e, real pivmin, integer eigcnt, integer lcnt, integer rcnt, integer info)
       SLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.

       Purpose:

            Find the number of eigenvalues of the symmetric tridiagonal matrix T
            that are in the interval (VL,VU] if JOBT = 'T', and of L D L^T
            if JOBT = 'L'.

       Parameters
           JOBT

                     JOBT is CHARACTER*1
                     = 'T':  Compute Sturm count for matrix T.
                     = 'L':  Compute Sturm count for matrix L D L^T.

           N

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

           VL

                     VL is REAL
                     The lower bound for the eigenvalues.

           VU

                     VU is REAL
                     The upper bound for the eigenvalues.

           D

                     D is REAL array, dimension (N)
                     JOBT = 'T': The N diagonal elements of the tridiagonal matrix T.
                     JOBT = 'L': The N diagonal elements of the diagonal matrix D.

           E

                     E is REAL array, dimension (N)
                     JOBT = 'T': The N-1 offdiagonal elements of the matrix T.
                     JOBT = 'L': The N-1 offdiagonal elements of the matrix L.

           PIVMIN

                     PIVMIN is REAL
                     The minimum pivot in the Sturm sequence for T.

           EIGCNT

                     EIGCNT is INTEGER
                     The number of eigenvalues of the symmetric tridiagonal matrix T
                     that are in the interval (VL,VU]

           LCNT

                     LCNT is INTEGER

           RCNT

                     RCNT is INTEGER
                     The left and right negcounts of the interval.

           INFO

                     INFO is INTEGER

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Contributors:
           Beresford Parlett, University of California, Berkeley, USA
            Jim Demmel, University of California, Berkeley, USA
            Inderjit Dhillon, University of Texas, Austin, USA
            Osni Marques, LBNL/NERSC, USA
            Christof Voemel, University of California, Berkeley, USA

Author

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