SRC/slarra.f(3)            Library Functions Manual            SRC/slarra.f(3)

NAME
       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 '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.

       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
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/slarra.f(3)