zhecon - estimate the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF
SUBROUTINE ZHECON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, INFO INTEGER IPIVOT(*) DOUBLE PRECISION ANORM, RCOND SUBROUTINE ZHECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, INFO INTEGER*8 IPIVOT(*) DOUBLE PRECISION ANORM, RCOND F95 INTERFACE SUBROUTINE HECON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, INFO INTEGER, DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND SUBROUTINE HECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, INFO INTEGER(8), DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND C INTERFACE #include <sunperf.h> void zhecon(char uplo, int n, doublecomplex *a, int lda, int *ipivot, double anorm, double *rcond, int *info); void zhecon_64(char uplo, long n, doublecomplex *a, long lda, long *ipivot, double anorm, double *rcond, long *info);
Oracle Solaris Studio Performance Library zhecon(3P) NAME zhecon - estimate the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF SYNOPSIS SUBROUTINE ZHECON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, INFO INTEGER IPIVOT(*) DOUBLE PRECISION ANORM, RCOND SUBROUTINE ZHECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, INFO INTEGER*8 IPIVOT(*) DOUBLE PRECISION ANORM, RCOND F95 INTERFACE SUBROUTINE HECON(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, INFO INTEGER, DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND SUBROUTINE HECON_64(UPLO, N, A, LDA, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, INFO INTEGER(8), DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND C INTERFACE #include <sunperf.h> void zhecon(char uplo, int n, doublecomplex *a, int lda, int *ipivot, double anorm, double *rcond, int *info); void zhecon_64(char uplo, long n, doublecomplex *a, long lda, long *ipivot, double anorm, double *rcond, long *info); PURPOSE zhecon estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF. 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) Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper trian- gular, form is A = U*D*U**H; = 'L': Lower triangular, form is A = L*D*L**H. N (input) The order of the matrix A. N >= 0. A (input) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. LDA (input) The leading dimension of the array A. LDA >= max(1,N). IPIVOT (input) Details of the interchanges and the block structure of D as determined by ZHETRF. ANORM (input) The 1-norm of the original 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) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 zhecon(3P)