sgsvj0 - processor for the routine sgesvj
SUBROUTINE SGSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) CHARACTER*1 JOBV INTEGER INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP REAL EPS, SFMIN, TOL REAL A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK) SUBROUTINE SGSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) CHARACTER*1 JOBV INTEGER*8 INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP REAL EPS, SFMIN, TOL REAL A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK) F95 INTERFACE SUBROUTINE GSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) REAL, DIMENSION(:,:) :: A, V INTEGER :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO CHARACTER(LEN=1) :: JOBV REAL, DIMENSION(:) :: D, SVA, WORK REAL :: TOL, EPS, SFMIN SUBROUTINE GSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) REAL, DIMENSION(:,:) :: A, V INTEGER(8) :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO CHARACTER(LEN=1) :: JOBV REAL, DIMENSION(:) :: D, SVA, WORK REAL :: TOL, EPS, SFMIN C INTERFACE #include <sunperf.h> void sgsvj0 (char jobv, int m, int n, float *a, int lda, float *d, float *sva, int mv, float *v, int ldv, float eps, float sfmin, float tol, int nsweep, int *info); void sgsvj0_64 (char jobv, long m, long n, float *a, long lda, float *d, float *sva, long mv, float *v, long ldv, float eps, float sfmin, float tol, long nsweep, long *info);
Oracle Solaris Studio Performance Library sgsvj0(3P)
NAME
sgsvj0 - pre-processor for the routine sgesvj
SYNOPSIS
SUBROUTINE SGSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN,
TOL, NSWEEP, WORK, LWORK, INFO)
CHARACTER*1 JOBV
INTEGER INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP
REAL EPS, SFMIN, TOL
REAL A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK)
SUBROUTINE SGSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS,
SFMIN, TOL, NSWEEP, WORK, LWORK, INFO)
CHARACTER*1 JOBV
INTEGER*8 INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP
REAL EPS, SFMIN, TOL
REAL A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE GSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN,
TOL, NSWEEP, WORK, LWORK, INFO)
REAL, DIMENSION(:,:) :: A, V
INTEGER :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO
CHARACTER(LEN=1) :: JOBV
REAL, DIMENSION(:) :: D, SVA, WORK
REAL :: TOL, EPS, SFMIN
SUBROUTINE GSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN,
TOL, NSWEEP, WORK, LWORK, INFO)
REAL, DIMENSION(:,:) :: A, V
INTEGER(8) :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO
CHARACTER(LEN=1) :: JOBV
REAL, DIMENSION(:) :: D, SVA, WORK
REAL :: TOL, EPS, SFMIN
C INTERFACE
#include <sunperf.h>
void sgsvj0 (char jobv, int m, int n, float *a, int lda, float *d,
float *sva, int mv, float *v, int ldv, float eps, float
sfmin, float tol, int nsweep, int *info);
void sgsvj0_64 (char jobv, long m, long n, float *a, long lda, float
*d, float *sva, long mv, float *v, long ldv, float eps, float
sfmin, float tol, long nsweep, long *info);
PURPOSE
sgsvj0 is called from SGESVJ as a pre-processor 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.
ARGUMENTS
JOBV (input)
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 N-by-N array V.
(See the description of V.)
= 'A': the product of the Jacobi rotations is accumulated by
postmulyiplying the MV-by-N array V.
(See the descriptions of MV and V.)
= 'N': the Jacobi rotations are not accumulated.
M (input)
M is INTEGER
The number of rows of the input matrix A. M >= 0.
N (input)
N is INTEGER
The number of columns of the input matrix A.
M >= N >= 0.
A (input/output)
A is REAL array, dimension (LDA,N)
On entry, M-by-N matrix A, such that A*diag(D) represents the
input matrix.
On exit, A_onexit * D_onexit represents the input matrix
A*diag(D) post-multiplied 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 (input)
LDA is INTEGER
The leading dimension of the array A.
LDA >= max(1,M).
D (input/output)
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
post-multiplied 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 (input/output)
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 (input)
MV is INTEGER
If JOBV .EQ. 'A', then MV rows of V are post-multipled by a
sequence of Jacobi rotations.
If JOBV = 'N', then MV is not referenced.
V (input/output)
V is REAL array, dimension (LDV,N)
If JOBV .EQ. 'V' then N rows of V are post-multipled by a
sequence of Jacobi rotations.
If JOBV .EQ. 'A' then MV rows of V are post-multipled by a
sequence of Jacobi rotations.
If JOBV = 'N', then V is not referenced.
LDV (input)
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 (input)
EPS is REAL
EPS = SLAMCH('Epsilon')
SFMIN (input)
SFMIN is REAL
SFMIN = SLAMCH('Safe Minimum')
TOL (input)
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 (input)
NSWEEP is INTEGER
NSWEEP is the number of sweeps of Jacobi rotations to be per-
formed.
WORK (output)
WORK is REAL array, dimension LWORK.
LWORK (input)
LWORK is INTEGER
LWORK is the dimension of WORK. LWORK .GE. M.
INFO (output)
INFO is INTEGER
= 0 : successful exit,
< 0 : if INFO = -i, then the i-th argument had an illegal
value.
7 Nov 2015 sgsvj0(3P)