zhecon zhetrf zhetri zhetrs zhpcon zhptrf zhptri zhptrs

zhetri() void zhetri ( char  uplo, int  n, int  lda, doublecomplex  a[], int  ipiv[], doublecomplex  work[], int *  info  ) Inverse of a Hermitian matrix Purpose This routine computes the inverse of a Hermitian matrix A using the factorization A = U*D*U^H or A = L*D*L^H computed by zhetrf. Parameters [in] uplo Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*U^H. = 'L': Lower triangular, form is A = L*D*L^H. [in] n Order of the matrix A. (n >= 0) (If n = 0, returns without computation) [in] lda Leading dimension of the two dimensional array a[][]. (lda >= max(1, n)) [in,out] a[] Array a[la][lda] (la >= n) [in] The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by zhetrf. [out] If info = 0, the (Hermitian) inverse of the original matrix A. The upper or lower triangular part of the inverse is formed and the other part of a[][] below or above the diagonal is not referenced in accordance with uplo. [in] ipiv[] Array ipiv[lipiv] (lipiv >= n) Details of the interchanges and the block structure of D as determined by zhetrf. [out] work[] Array work[lwork] (lwork >= n) Work array. [out] info = 0: Successful exit = -1: The argument uplo had an illegal value (uplo != 'U' nor 'L') = -2: The argument n had an illegal value (n < 0) = -3: The argument lda had an illegal value (lda < max(1, n)) = i > 0: The i-th element of D is exactly zero; the matrix is singular and its inverse could not be computed. Reference LAPACK