cpocon - estimate the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite matrix using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF
SUBROUTINE CPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, INFO REAL ANORM, RCOND REAL WORK2(*) SUBROUTINE CPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, INFO REAL ANORM, RCOND REAL WORK2(*) F95 INTERFACE SUBROUTINE POCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER :: N, LDA, INFO REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK2 SUBROUTINE POCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, INFO REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void cpocon(char uplo, int n, complex *a, int lda, float anorm, float *rcond, int *info); void cpocon_64(char uplo, long n, complex *a, long lda, float anorm, float *rcond, long *info);
Oracle Solaris Studio Performance Library cpocon(3P) NAME cpocon - estimate the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite matrix using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF SYNOPSIS SUBROUTINE CPOCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, INFO REAL ANORM, RCOND REAL WORK2(*) SUBROUTINE CPOCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, INFO REAL ANORM, RCOND REAL WORK2(*) F95 INTERFACE SUBROUTINE POCON(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER :: N, LDA, INFO REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK2 SUBROUTINE POCON_64(UPLO, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:) :: WORK COMPLEX, DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, INFO REAL :: ANORM, RCOND REAL, DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void cpocon(char uplo, int n, complex *a, int lda, float anorm, float *rcond, int *info); void cpocon_64(char uplo, long n, complex *a, long lda, float anorm, float *rcond, long *info); PURPOSE cpocon estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite matrix using the Cholesky fac- torization A = U**H*U or A = L*L**H computed by CPOTRF. 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**H*U or A = L*L**H, as computed by CPOTRF. LDA (input) The leading dimension of the array A. LDA >= max(1,N). ANORM (input) The 1-norm (or infinity-norm) of the Hermitian 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(2*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 cpocon(3P)