SLARRC (3) - Linux Manuals

NAME

slarrc.f -

SYNOPSIS

Functions/Subroutines

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

Function/Subroutine Documentation

subroutine slarrc (characterJOBT, integerN, realVL, realVU, real, dimension( * )D, real, dimension( * )E, realPIVMIN, integerEIGCNT, integerLCNT, integerRCNT, integerINFO)

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 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 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.

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 slarrc.f.

Author

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