SRC/ssytri2x.f(3)

hey bestie!! this is the SRC/ssytri2x.f(3) page from the Library Functions Manual, and we're diving into SSYTRI2X πŸ’…βœ¨

πŸŽ€ NAME πŸŽ€

SRC/ssytri2x.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine ssytri2x (uplo, n, a, lda, ipiv, work, nb, info)
    SSYTRI2X

πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

subroutine ssytri2x (character uplo, integer n, real, dimension( lda, * ) a,
    integer lda, integer, dimension( * ) ipiv, real, dimension( n+nb+1,* )
    work, integer nb, integer info)
    SSYTRI2X

πŸ’– Purpose πŸ’–

okay so SSYTRI2X 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 SSYTRF. that's the whole vibe 🫢

🌸 Parameters 🌸

πŸ’… UPLO

UPLO is CHARACTER*1. it says 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.

πŸ“ N

N is INTEGER. it's the order of the matrix A. N >= 0.

πŸŽ€ A

A is REAL array, dimension (LDA,N).

On entry, it's 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, it's 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.

πŸ¦‹ LDA

LDA is INTEGER. it's the leading dimension of the array A. LDA >= max(1,N).

⭐ IPIV

IPIV is INTEGER array, dimension (N). it holds details of the interchanges and the NNB structure of D as determined by SSYTRF.

🌈 WORK

WORK is REAL array, dimension (N+NB+1,NB+3).

πŸ‘‘ NB

NB is INTEGER. it's the block size.

πŸ”₯ INFO

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.

πŸ’œ Author πŸ’œ

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 119 of file ssytri2x.f.

πŸ’« Author πŸ’«

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