spocon - estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite matrix using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF
SUBROUTINE SPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER N, LDA, INFO INTEGER WORK2(*) REAL ANORM, RCOND REAL A(LDA,*), WORK(*) SUBROUTINE SPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, INFO INTEGER*8 WORK2(*) REAL ANORM, RCOND REAL A(LDA,*), WORK(*) F95 INTERFACE SUBROUTINE POCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDA, INFO INTEGER, DIMENSION(:) :: WORK2 REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK REAL, DIMENSION(:,:) :: A SUBROUTINE POCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDA, INFO INTEGER(8), DIMENSION(:) :: WORK2 REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void spocon(char uplo, int n, float *a, int lda, float anorm, float *rcond, int *info); void spocon_64(char uplo, long n, float *a, long lda, float anorm, float *rcond, long *info);
Oracle Solaris Studio Performance Library spocon(3P) NAME spocon - estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite matrix using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF SYNOPSIS SUBROUTINE SPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER N, LDA, INFO INTEGER WORK2(*) REAL ANORM, RCOND REAL A(LDA,*), WORK(*) SUBROUTINE SPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, INFO INTEGER*8 WORK2(*) REAL ANORM, RCOND REAL A(LDA,*), WORK(*) F95 INTERFACE SUBROUTINE POCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDA, INFO INTEGER, DIMENSION(:) :: WORK2 REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK REAL, DIMENSION(:,:) :: A SUBROUTINE POCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDA, INFO INTEGER(8), DIMENSION(:) :: WORK2 REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK REAL, DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void spocon(char uplo, int n, float *a, int lda, float anorm, float *rcond, int *info); void spocon_64(char uplo, long n, float *a, long lda, float anorm, float *rcond, long *info); PURPOSE spocon estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite matrix using the Cholesky factor- ization A = U**T*U or A = L*L**T computed by SPOTRF. An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). ARGUMENTS UPLO (input) = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. N (input) The order of the matrix A. N >= 0. A (input) The triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, as computed by SPOTRF. LDA (input) The leading dimension of the array A. LDA >= max(1,N). ANORM (input) The 1-norm (or infinity-norm) of the symmetric matrix A. RCOND (output) The reciprocal of the condition number of the matrix A, com- puted as RCOND = 1/(ANORM * AINVNM), where AINVNM is an esti- mate of the 1-norm of inv(A) computed in this routine. WORK (workspace) dimension(3*N) WORK2 (workspace) dimension(N) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 spocon(3P)