zhpcon - estimate the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF
SUBROUTINE ZHPCON(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER N, INFO INTEGER IPIVOT(*) DOUBLE PRECISION ANORM, RCOND SUBROUTINE ZHPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER*8 N, INFO INTEGER*8 IPIVOT(*) DOUBLE PRECISION ANORM, RCOND F95 INTERFACE SUBROUTINE HPCON(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER :: N, INFO INTEGER, DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND SUBROUTINE HPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER(8) :: N, INFO INTEGER(8), DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND C INTERFACE #include <sunperf.h> void zhpcon(char uplo, int n, doublecomplex *a, int *ipivot, double anorm, double *rcond, int *info); void zhpcon_64(char uplo, long n, doublecomplex *a, long *ipivot, dou- ble anorm, double *rcond, long *info);
Oracle Solaris Studio Performance Library zhpcon(3P) NAME zhpcon - estimate the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF SYNOPSIS SUBROUTINE ZHPCON(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER N, INFO INTEGER IPIVOT(*) DOUBLE PRECISION ANORM, RCOND SUBROUTINE ZHPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER*1 UPLO DOUBLE COMPLEX A(*), WORK(*) INTEGER*8 N, INFO INTEGER*8 IPIVOT(*) DOUBLE PRECISION ANORM, RCOND F95 INTERFACE SUBROUTINE HPCON(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER :: N, INFO INTEGER, DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND SUBROUTINE HPCON_64(UPLO, N, A, IPIVOT, ANORM, RCOND, WORK, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: A, WORK INTEGER(8) :: N, INFO INTEGER(8), DIMENSION(:) :: IPIVOT REAL(8) :: ANORM, RCOND C INTERFACE #include <sunperf.h> void zhpcon(char uplo, int n, doublecomplex *a, int *ipivot, double anorm, double *rcond, int *info); void zhpcon_64(char uplo, long n, doublecomplex *a, long *ipivot, dou- ble anorm, double *rcond, long *info); PURPOSE zhpcon estimates the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF. 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) COMPLEX*16 array, dimension (N*(N+1)/2) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHPTRF, stored as a packed triangular matrix. IPIVOT (input) INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by ZHPTRF. 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) COMPLEX*16 array, dimension(2*N) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 zhpcon(3P)