SUBROUTINE ZHESV( UPLO, N, NRHS, A, LDA, IPIVOT, B, LDB, WORK, * LDWORK, INFO) CHARACTER * 1 UPLO DOUBLE COMPLEX A(LDA,*), B(LDB,*), WORK(*) INTEGER N, NRHS, LDA, LDB, LDWORK, INFO INTEGER IPIVOT(*) SUBROUTINE ZHESV_64( UPLO, N, NRHS, A, LDA, IPIVOT, B, LDB, WORK, * LDWORK, INFO) CHARACTER * 1 UPLO DOUBLE COMPLEX A(LDA,*), B(LDB,*), WORK(*) INTEGER*8 N, NRHS, LDA, LDB, LDWORK, INFO INTEGER*8 IPIVOT(*)
SUBROUTINE HESV( UPLO, [N], [NRHS], A, [LDA], IPIVOT, B, [LDB], * [WORK], [LDWORK], [INFO]) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A, B INTEGER :: N, NRHS, LDA, LDB, LDWORK, INFO INTEGER, DIMENSION(:) :: IPIVOT SUBROUTINE HESV_64( UPLO, [N], [NRHS], A, [LDA], IPIVOT, B, [LDB], * [WORK], [LDWORK], [INFO]) CHARACTER(LEN=1) :: UPLO COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A, B INTEGER(8) :: N, NRHS, LDA, LDB, LDWORK, INFO INTEGER(8), DIMENSION(:) :: IPIVOT
void zhesv(char uplo, int n, int nrhs, doublecomplex *a, int lda, int *ipivot, doublecomplex *b, int ldb, int *info);
void zhesv_64(char uplo, long n, long nrhs, doublecomplex *a, long lda, long *ipivot, doublecomplex *b, long ldb, long *info);
The diagonal pivoting method is used to factor A as
A = U * D * U**H, if UPLO = 'U', or A = L * D * L**H, if UPLO = 'L',
where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and D is Hermitian and block diagonal with 1-by-1 and 2-by-2 diagonal blocks. The factored form of A is then used to solve the system of equations A * X = B.
On exit, if INFO = 0, the block diagonal matrix D and the multipliers used to obtain the factor U or L from the factorization A = U*D*U**H or A = L*D*L**H as computed by CHETRF.
If LDWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LDWORK is issued by XERBLA.