table of contents
/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
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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