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

  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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