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Manual

larrc

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine dlarrc (character jobt, integer n, double precision vl, doubleprecision vu, double precision, dimension( * ) d, double precision,dimension( * ) e, double precision pivmin, integer eigcnt, integerlcnt, integer rcnt, integer info)
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)
Author

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, doubleprecision vu, double precision, dimension( * ) d, double precision,dimension( * ) e, double precision pivmin, integer eigcnt, integerlcnt, 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 LˆT
if JOBT = ’L’.

Parameters

JOBT

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

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 LˆT
if JOBT = ’L’.

Parameters

JOBT

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

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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