HETRS_AA - HETRS_AA - 5.3 English - 68552

AOCL API Guide (68552)

Document_ID
68552
Release_Date
2026-05-13
Version
5.3 English
template<typename T>
void hetrs_aa(char *uplo, integer *n, integer *nrhs, T *a, integer *lda, integer *ipiv, T *b, integer *ldb, T *work, integer *lwork, integer *info)#

HETRS_AA solves a system of linear equations A*X = B with a complex hermitian matrix A.

Purpose:

    HETRS_AA solves a system of linear equations A*X = B with a complex
    hermitian matrix A using the factorization A = U**H*T*U or
    A = L*T*L**H computed by HETRF_AA.
Parameters:
  • UPLO – [in]

    UPLO is CHARACTER*1

    Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.

    = ‘U’: Upper triangular, form is A = U**H*T*U;

    = ‘L’: Lower triangular, form is A = L*T*L**H.

  • N – [in]

    N is INTEGER

    The order of the matrix A. N >= 0.

  • NRHS – [in]

    NRHS is INTEGER

    The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.

  • A – [in]

    A is COMPLEX array, dimension (LDA,N)

    Details of factors computed by CHETRF_AA.

  • LDA – [in]

    LDA is INTEGER

    The leading dimension of the array A. LDA >= fla_max(1,N).

  • IPIV – [in]

    IPIV is INTEGER array, dimension (N)

    Details of the interchanges as computed by CHETRF_AA.

  • B – [inout]

    B is COMPLEX array, dimension (LDB,NRHS)

    On entry, the right hand side matrix B. On exit, the solution matrix X.

  • LDB – [in]

    LDB is INTEGER

    The leading dimension of the array B. LDB >= fla_max(1,N).

  • WORK – [out] WORK is COMPLEX array, dimension (MAX(1,LWORK))

  • LWORK – [in]

    LWORK is INTEGER

    The dimension of the array WORK. LWORK >= fla_max(1,3*N-2).

  • INFO – [out]

    INFO is INTEGER

    = 0: successful exit

    < 0: if INFO = -i, the i-th argument had an illegal value