larrc(3)                   Library Functions Manual                   larrc(3)

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

       Definition at line 135 of file dlarrc.f.

   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

       Definition at line 135 of file slarrc.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                        larrc(3)