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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/slarra.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/slarra.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/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  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.

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 134 of file slarra.f.

Author

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