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

🎀 NAME

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

Okay bestie, page-header tea first: this page says /home/abui...tri_rook.f(3) and it comes from the Library Functions Manual. The actual source file being documented is the full path right above. No cap, that’s the whole NAME vibe. 💅

✨ SYNOPSIS ✨

🫶 Functions/Subroutines

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

🦋 Function/Subroutine Documentation

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

💫 Purpose:

Okay so CSYTRI_ROOK computes the inverse of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF_ROOK. That’s the main-character job, and it ate. 💖

🌈 Parameters

💖 UPLO

UPLO is CHARACTER*1, and 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**T;
• = 'L': Lower triangular, form is A = L*D*L**T.

🦋 N

N is INTEGER — the order of the matrix A. Condition: N >= 0.

🌸 A

A is COMPLEX 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 CSYTRF_ROOK.
• 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

LDA is INTEGER — the leading dimension of the array A. Condition: LDA >= max(1,N).

✨ IPIV

IPIV is INTEGER array, dimension (N) — details of the interchanges and the block structure of D as determined by CSYTRF_ROOK.

🫶 WORK

WORK is COMPLEX array, dimension (N).

💜 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.

👑 Author

These are the credited institutions, and periodt:

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

💖 Contributors:

• December 2016, 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 128 of file csytri_rook.f.

That’s the exact source location, bestie.

📜 Author

Generated automatically by Doxygen for LAPACK from the source code.

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mwah 💋 — source/version: LAPACK, Version 3.12.0. Footer page path: /home/abui...tri_rook.f(3). The footer doesn’t print a separate date, so I’m not inventing one, fr fr. 🫶