SLARRA(3)
π NAME π
okay so bestie, this is SLARRA(3) from the LAPACK Library Functions Manual, and the file is literally:
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/slarra.f
no cap, that's the whole NAME vibe π
β¨ SYNOPSIS β¨
π¦ Functions/Subroutines π¦
subroutine SLARRA (n, d, e, e2, spltol, tnrm, nsplit, isplit, info)
SLARRA computes the splitting points with the specified threshold.
π Function/Subroutine Documentation π
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. iconic behavior honestly π
π― Purpose: π―
!>
!> Compute the splitting points with threshold SPLTOL.
!> SLARRA sets any off-diagonal elements to zero.
!>
π Parameters π
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
!>
π Author π
- Univ. of Tennessee
- Univ. of California Berkeley
- Univ. of Colorado Denver
- NAG Ltd.
π«Ά Contributors: π«Ά
- 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.
π§ Author π§
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