dlarrc.f (3) Linux Manual Page

dlarrc.f –

Synopsis

Functions/Subroutines

subroutine dlarrc (JOBT, N, VL, VU, D, E, PIVMIN, EIGCNT, LCNT, RCNT, INFO)
DLARRC computes the number of eigenvalues of the symmetric tridiagonal matrix.

Function/Subroutine Documentation

subroutine dlarrc (characterJOBT, integerN, double precisionVL, double precisionVU, double precision, dimension( * )D, double precision, dimension( * )E, double precisionPIVMIN, integerEIGCNT, integerLCNT, integerRCNT, integerINFO)

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

VU

 VU is DOUBLE PRECISION

 The lower and upper bounds 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.

Date:

September 2012

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 136 of file dlarrc.f.

Author

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