slarra.f man page

slarra.f —

Synopsis

Functions/Subroutines

subroutine slarra (N, D, E, E2, SPLTOL, TNRM, NSPLIT, ISPLIT, INFO)
SLARRA computes the splitting points with the specified threshold.

Function/Subroutine Documentation

subroutine slarra (integer N, real, dimension( * ) D, real, dimension( * ) E, real, dimension( * ) E2, real SPLTOL, real TNRM, integer NSPLIT, integer, dimension( * ) ISPLIT, integer INFO)

SLARRA computes the splitting points with the specified threshold.  

Purpose:

 Compute the splitting points with threshold SPLTOL.
 SLARRA sets any "small" off-diagonal elements to zero.
Parameters:

N

          N is INTEGER
          The order of the matrix. N > 0.

D

          D is REAL array, dimension (N)
          On entry, the N diagonal elements of the tridiagonal
          matrix T.

E

          E is REAL array, dimension (N)
          On entry, the first (N-1) entries contain the subdiagonal
          elements of the tridiagonal matrix T; E(N) need not be set.
          On exit, the entries E( ISPLIT( I ) ), 1 <= I <= NSPLIT,
          are set to zero, the other entries of E are untouched.

E2

          E2 is REAL array, dimension (N)
          On entry, the first (N-1) entries contain the SQUARES of the
          subdiagonal elements of the tridiagonal matrix T;
          E2(N) need not be set.
          On exit, the entries E2( ISPLIT( I ) ),
          1 <= I <= NSPLIT, have been set to zero

SPLTOL

          SPLTOL is REAL
          The threshold for splitting. Two criteria can be used:
          SPLTOL<0 : criterion based on absolute off-diagonal value
          SPLTOL>0 : criterion that preserves relative accuracy

TNRM

          TNRM is REAL
          The norm of the matrix.

NSPLIT

          NSPLIT is INTEGER
          The number of blocks T splits into. 1 <= NSPLIT <= N.

ISPLIT

          ISPLIT is INTEGER array, dimension (N)
          The splitting points, at which T breaks up into blocks.
          The first block consists of rows/columns 1 to ISPLIT(1),
          the second of rows/columns ISPLIT(1)+1 through ISPLIT(2),
          etc., and the NSPLIT-th consists of rows/columns
          ISPLIT(NSPLIT-1)+1 through ISPLIT(NSPLIT)=N.

INFO

          INFO is INTEGER
          = 0:  successful exit
Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

June 2017

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 138 of file slarra.f.

Author

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Referenced By

The man page slarra(3) is an alias of slarra.f(3).

Sat Jun 24 2017 Version 3.7.1 LAPACK