# 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

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

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 14 2017 Version 3.8.0 LAPACK