SYTRI2X - 5.2 English - 68552

AOCL API Guide (68552)

Document ID
68552
Release Date
2025-12-29
Version
5.2 English
template<typename T>
void sytri2x(char *uplo, integer *n, T *a, integer *lda, integer *ipiv, float *work, integer *nb, integer *info)#

SYTRI2X computes the inverse of a real symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by SYTRF.

Purpose:

    SYTRI2X computes the inverse of a real symmetric indefinite matrix
    A using the factorization A = U*D*U**T or A = L*D*L**T computed by
    SYTRF.
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*D*U**T;

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

  • N[in]

    N is INTEGER

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

  • A[inout]

    A is REAL array, dimension (LDA,N)

    On entry, the NNB diagonal matrix D and the multipliers used to obtain the factor U or L as computed by SSYTRF.

    On exit, if INFO = 0, the (symmetric) inverse of the original matrix. If UPLO = ‘U’, the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = ‘L’ the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.
  • 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 and the NNB structure of D as determined by SYTRF.

  • INFO[out]

    INFO is INTEGER

    = 0: successful exit

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

    > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.