/home/abui...tri_rook.f(3)

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zhetri_rook.f — okay bestie, this is the page for that file. It's from the Library Functions Manual, and the header path is /home/abui...tri_rook.f(3). Manual name folded in right here so we don't have to copy the header line like a boring person. 💅

✨ SYNOPSIS ✨

🌈 Functions/Subroutines 🌈

Functions/Subroutines
    subroutine ZHETRI_ROOK (uplo, n, a, lda, ipiv, work, info)
        ZHETRI_ROOK computes the inverse of HE matrix using the
        factorization obtained with the bounded Bunch-Kaufman
        (rook")diagonalpivotingmethod.

🦋 Function/Subroutine Documentation 🦋

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

ZHETRI_ROOK computes the inverse of HE matrix using the factorization obtained with the bounded Bunch-Kaufman ("rook") diagonal pivoting method. Iconic.

🎯 Purpose 🎯

okay so the actual mission: it 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_ROOK. That's the whole plot. No cap. 🫶

🧸 Parameters 🧸

• UPLO — 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**H; = 'L': lower triangular, form is A = L*D*L**H. Choose your fighter.
• N — N is INTEGER. The order of the matrix A. N >= 0. Zero is allowed, bestie.
• A — 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_ROOK. 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. She's doing a lot, but she's slaying it.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N). Respect the leading dimension.
• IPIV — IPIV is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by ZHETRF_ROOK. Receipts from the factorization.
• WORK — WORK is COMPLEX*16 array, dimension (N). Scratch space era.
• 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. Singular matrix? Not the vibe. 😭

👑 Author 👑

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

🫶 Contributors: 🫶

• November 2013, Igor Kozachenko, Computer Science Division, University of California, Berkeley
• September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas, School of Mathematics, University of Manchester

Definition at line 127 of file zhetri_rook.f.

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page! the footer info is source/version LAPACK Version 3.12.0 and the path /home/abui...tri_rook.f(3) — periodt 💅✨