sla_porcond - tive-definite matrix
REAL FUNCTION SLA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) CHARACTER*1 UPLO INTEGER N, LDA, LDAF, INFO, CMODE REAL A(LDA,*), AF(LDAF,*), WORK(*), C(*) INTEGER IWORK(*) REAL FUNCTION SLA_PORCOND_64(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) CHARACTER*1 UPLO INTEGER*8 N, LDA, LDAF, INFO, CMODE REAL A(LDA,*), AF(LDAF,*), WORK(*), C(*) INTEGER*8 IWORK(*) F95 INTERFACE REAL FUNCTION LA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) REAL, DIMENSION(:,:) :: A, AF INTEGER :: N, LDA, LDAF, CMODE, INFO CHARACTER(LEN=1) :: UPLO INTEGER, DIMENSION(:) :: IWORK REAL, DIMENSION(:) :: C, WORK REAL FUNCTION LA_PORCOND_64( UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) REAL, DIMENSION(:,:) :: A, AF INTEGER(8) :: N, LDA, LDAF, CMODE, INFO CHARACTER(LEN=1) :: UPLO INTEGER(8), DIMENSION(:) :: IWORK REAL, DIMENSION(:) :: C, WORK C INTERFACE #include <sunperf.h> float sla_porcond (char uplo, int n, float *a, int lda, float *af, int ldaf, int cmode, float *c, int *info); float sla_porcond_64 (char uplo, long n, float *a, long lda, float * af, long ldaf, long cmode, float *c, long *info);
Oracle Solaris Studio Performance Library sla_porcond(3P)
NAME
sla_porcond - estimate the Skeel condition number for a symmetric posi-
tive-definite matrix
SYNOPSIS
REAL FUNCTION SLA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO,
WORK, IWORK)
CHARACTER*1 UPLO
INTEGER N, LDA, LDAF, INFO, CMODE
REAL A(LDA,*), AF(LDAF,*), WORK(*), C(*)
INTEGER IWORK(*)
REAL FUNCTION SLA_PORCOND_64(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO,
WORK, IWORK)
CHARACTER*1 UPLO
INTEGER*8 N, LDA, LDAF, INFO, CMODE
REAL A(LDA,*), AF(LDAF,*), WORK(*), C(*)
INTEGER*8 IWORK(*)
F95 INTERFACE
REAL FUNCTION LA_PORCOND(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO,
WORK, IWORK)
REAL, DIMENSION(:,:) :: A, AF
INTEGER :: N, LDA, LDAF, CMODE, INFO
CHARACTER(LEN=1) :: UPLO
INTEGER, DIMENSION(:) :: IWORK
REAL, DIMENSION(:) :: C, WORK
REAL FUNCTION LA_PORCOND_64( UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO,
WORK, IWORK)
REAL, DIMENSION(:,:) :: A, AF
INTEGER(8) :: N, LDA, LDAF, CMODE, INFO
CHARACTER(LEN=1) :: UPLO
INTEGER(8), DIMENSION(:) :: IWORK
REAL, DIMENSION(:) :: C, WORK
C INTERFACE
#include <sunperf.h>
float sla_porcond (char uplo, int n, float *a, int lda, float *af, int
ldaf, int cmode, float *c, int *info);
float sla_porcond_64 (char uplo, long n, float *a, long lda, float *
af, long ldaf, long cmode, float *c, long *info);
PURPOSE
sla_porcond Estimates the Skeel condition number of op(A)*op2(C)
where op2 is determined by CMODE as follows:
CMODE = 1 op2(C) = C
CMODE = 0 op2(C) = I
CMODE = -1 op2(C) = inv(C)
The Skeel condition number cond(A)=norminf(|inv(A)||A|) is computed by
computing scaling factors R such that diag(R)*A*op2(C) is row equili-
brated and computing the standard infinity-norm condition number.
ARGUMENTS
UPLO (input)
UPLO is CHARACTER*1
= 'U': Upper triangle of A is stored;
= 'L': Lower triangle of A is stored.
N (input)
N is INTEGER
The number of linear equations, i.e., the order of the matrix
A. N >= 0.
A (input)
A is REAL array, dimension (LDA,N)
On entry, the N-by-N matrix A.
LDA (input)
LDA is INTEGER
The leading dimension of the array A.
LDA >= max(1,N).
AF (input)
AF is REAL array, dimension (LDAF,N)
The triangular factor U or L from the Cholesky factorization
A=U**T*U or A=L*L**T, as computed by SPOTRF.
LDAF (input)
LDAF is INTEGER
The leading dimension of the array AF.
LDAF >= max(1,N).
CMODE (input)
CMODE is INTEGER
Determines op2(C) in the formula op(A)*op2(C) as follows:
CMODE = 1 op2(C) = C
CMODE = 0 op2(C) = I
CMODE = -1 op2(C) = inv(C)
C (input)
C is REAL array, dimension (N)
The vector C in the formula op(A)*op2(C).
INFO (output)
INFO is INTEGER
= 0: Successful exit.
i > 0: The ith argument is invalid.
WORK (input)
WORK is REAL array, dimension (3*N).
Workspace.
IWORK (input)
IWORK is INTEGER array, dimension (N).
Workspace.
7 Nov 2015 sla_porcond(3P)