ZHETRI(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

πŸ¦‹ NAME πŸ¦‹

okay bestie, welcome to the zhetri.f(3) page from the LAPACK Library Functions Manual β€” manual name: LAPACK. The NAME path is exactly:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zhetri.f

This is the ZHETRI subroutine page, and it's giving "inverse of a complex Hermitian indefinite matrix" energy. πŸ’…

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine ZHETRI (uplo, n, a, lda, ipiv, work, info)
    ZHETRI

🫢 Function/Subroutine Documentation 🫢

subroutine ZHETRI (character uplo, integer n, complex*16, dimension( lda, *
       ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( *
       ) work, integer info)
       ZHETRI

πŸ’– Purpose πŸ’–

ZHETRI computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHETRF. That's the whole assignment, and it ate. πŸ”₯

🌸 Parameters 🌸

  • UPLO β€” UPLO is CHARACTER*1. It 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.
  • N β€” N is INTEGER. The order of the matrix A. N >= 0.
  • A β€” A is COMPLEX*16 array, dimension (LDA,N). On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. On exit, if INFO = 0, the (Hermitian) 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 β€” LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
  • IPIV β€” IPIV is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by ZHETRF.
  • WORK β€” WORK is COMPLEX*16 array, dimension (N).
  • INFO β€” 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‘‘ Author πŸ‘‘

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 113 of file zhetri.f.

⭐ Author ⭐

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Cute sign-off, bestie: this page is from LAPACK Version 3.12.0, footer path /home/abui...RC/zhetri.f(3) β€” so that's the generated source/version/date footer sign-off, and I’m obsessed πŸ’–βœ¨πŸŽ€

πŸ“¦ where this page comes from