
sgsvj0.f(3) LAPACK sgsvj0.f(3)
NAME
sgsvj0.f 
SYNOPSIS
Functions/Subroutines
subroutine sgsvj0 (JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK,
LWORK, INFO)
SGSVJ0 preprocessor for the routine sgesvj.
Function/Subroutine Documentation
subroutine sgsvj0 (character*1JOBV, integerM, integerN, real, dimension( lda, * )A,
integerLDA, real, dimension( n )D, real, dimension( n )SVA, integerMV, real, dimension(
ldv, * )V, integerLDV, realEPS, realSFMIN, realTOL, integerNSWEEP, real, dimension( lwork
)WORK, integerLWORK, integerINFO)
SGSVJ0 preprocessor for the routine sgesvj.
Purpose:
SGSVJ0 is called from SGESVJ as a preprocessor and that is its main
purpose. It applies Jacobi rotations in the same way as SGESVJ does, but
it does not check convergence (stopping criterion). Few tuning
parameters (marked by [TP]) are available for the implementer.
Parameters:
JOBV
JOBV is CHARACTER*1
Specifies whether the output from this procedure is used
to compute the matrix V:
= 'V': the product of the Jacobi rotations is accumulated
by postmulyiplying the NbyN array V.
(See the description of V.)
= 'A': the product of the Jacobi rotations is accumulated
by postmulyiplying the MVbyN array V.
(See the descriptions of MV and V.)
= 'N': the Jacobi rotations are not accumulated.
M
M is INTEGER
The number of rows of the input matrix A. M >= 0.
N
N is INTEGER
The number of columns of the input matrix A.
M >= N >= 0.
A
A is REAL array, dimension (LDA,N)
On entry, MbyN matrix A, such that A*diag(D) represents
the input matrix.
On exit,
A_onexit * D_onexit represents the input matrix A*diag(D)
postmultiplied by a sequence of Jacobi rotations, where the
rotation threshold and the total number of sweeps are given in
TOL and NSWEEP, respectively.
(See the descriptions of D, TOL and NSWEEP.)
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
D
D is REAL array, dimension (N)
The array D accumulates the scaling factors from the fast scaled
Jacobi rotations.
On entry, A*diag(D) represents the input matrix.
On exit, A_onexit*diag(D_onexit) represents the input matrix
postmultiplied by a sequence of Jacobi rotations, where the
rotation threshold and the total number of sweeps are given in
TOL and NSWEEP, respectively.
(See the descriptions of A, TOL and NSWEEP.)
SVA
SVA is REAL array, dimension (N)
On entry, SVA contains the Euclidean norms of the columns of
the matrix A*diag(D).
On exit, SVA contains the Euclidean norms of the columns of
the matrix onexit*diag(D_onexit).
MV
MV is INTEGER
If JOBV .EQ. 'A', then MV rows of V are postmultipled by a
sequence of Jacobi rotations.
If JOBV = 'N', then MV is not referenced.
V
V is REAL array, dimension (LDV,N)
If JOBV .EQ. 'V' then N rows of V are postmultipled by a
sequence of Jacobi rotations.
If JOBV .EQ. 'A' then MV rows of V are postmultipled by a
sequence of Jacobi rotations.
If JOBV = 'N', then V is not referenced.
LDV
LDV is INTEGER
The leading dimension of the array V, LDV >= 1.
If JOBV = 'V', LDV .GE. N.
If JOBV = 'A', LDV .GE. MV.
EPS
EPS is REAL
EPS = SLAMCH('Epsilon')
SFMIN
SFMIN is REAL
SFMIN = SLAMCH('Safe Minimum')
TOL
TOL is REAL
TOL is the threshold for Jacobi rotations. For a pair
A(:,p), A(:,q) of pivot columns, the Jacobi rotation is
applied only if ABS(COS(angle(A(:,p),A(:,q)))) .GT. TOL.
NSWEEP
NSWEEP is INTEGER
NSWEEP is the number of sweeps of Jacobi rotations to be
performed.
WORK
WORK is REAL array, dimension LWORK.
LWORK
LWORK is INTEGER
LWORK is the dimension of WORK. LWORK .GE. M.
INFO
INFO is INTEGER
= 0 : successful exit.
< 0 : if INFO = i, then the ith argument had an illegal value
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Further Details:
SGSVJ0 is used just to enable SGESVJ to call a simplified version of itself to work on
a submatrix of the original matrix.
Contributors:
Zlatko Drmac (Zagreb, Croatia) and Kresimir Veselic (Hagen, Germany)
Bugs, Examples and Comments:
Please report all bugs and send interesting test examples and comments to
drmac@math.hr. Thank you.
Definition at line 218 of file sgsvj0.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 sgsvj0.f(3) 
