dpocon - 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 DPOTRF
SUBROUTINE DPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER N, LDA, INFO INTEGER WORK2(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION A(LDA,*), WORK(*) SUBROUTINE DPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, INFO INTEGER*8 WORK2(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION 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(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), 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(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void dpocon(char uplo, int n, double *a, int lda, double anorm, double *rcond, int *info); void dpocon_64(char uplo, long n, double *a, long lda, double anorm, double *rcond, long *info);
Oracle Solaris Studio Performance Library dpocon(3P) NAME dpocon - 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 DPOTRF SYNOPSIS SUBROUTINE DPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER N, LDA, INFO INTEGER WORK2(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION A(LDA,*), WORK(*) SUBROUTINE DPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, INFO INTEGER*8 WORK2(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION 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(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), 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(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void dpocon(char uplo, int n, double *a, int lda, double anorm, double *rcond, int *info); void dpocon_64(char uplo, long n, double *a, long lda, double anorm, double *rcond, long *info); PURPOSE dpocon 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 DPOTRF. 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 DPOTRF. 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 dpocon(3P)