.TH "slarra.f" 3 "Sun May 26 2013" "Version 3.4.1" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME slarra.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBslarra\fP (N, D, E, E2, SPLTOL, TNRM, NSPLIT, ISPLIT, INFO)" .br .RI "\fI\fBSLARRA\fP \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine slarra (integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( * )E2, realSPLTOL, realTNRM, integerNSPLIT, integer, dimension( * )ISPLIT, integerINFO)" .PP \fBSLARRA\fP .PP \fBPurpose: \fP .RS 4 .PP .nf Compute the splitting points with threshold SPLTOL. SLARRA sets any "small" off-diagonal elements to zero. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The order of the matrix. N > 0. .fi .PP .br \fID\fP .PP .nf D is REAL array, dimension (N) On entry, the N diagonal elements of the tridiagonal matrix T. .fi .PP .br \fIE\fP .PP .nf 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. .fi .PP .br \fIE2\fP .PP .nf 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 .fi .PP .br \fISPLTOL\fP .PP .nf 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 .fi .PP .br \fITNRM\fP .PP .nf TNRM is REAL The norm of the matrix. .fi .PP .br \fINSPLIT\fP .PP .nf NSPLIT is INTEGER The number of blocks T splits into. 1 <= NSPLIT <= N. .fi .PP .br \fIISPLIT\fP .PP .nf 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. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit .fi .PP .RE .PP \fBAuthor:\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate:\fP .RS 4 November 2011 .RE .PP \fBContributors: \fP .RS 4 Beresford Parlett, University of California, Berkeley, USA .br Jim Demmel, University of California, Berkeley, USA .br Inderjit Dhillon, University of Texas, Austin, USA .br Osni Marques, LBNL/NERSC, USA .br Christof Voemel, University of California, Berkeley, USA .RE .PP .PP Definition at line 136 of file slarra\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.