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

💅 NAME 💅

okay so this is the LAPACK Library Functions Manual page for /home/abui...tri_rook.f(3) — yes bestie, that exact page. The file it's documenting is:

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

No cap, that's the whole NAME section. 🫶

---

✨ SYNOPSIS ✨

🔥 Functions/Subroutines 🔥

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

---

🦋 Function/Subroutine Documentation 🦋

Here's the full signature, exactly as the page gives it:

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

ZSYTRI_ROOK — that's the main character of this page, periodt. 👑

🎯 Purpose

ZSYTRI_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 ZSYTRF_ROOK. That's it, that's the whole purpose, and it's lowkey iconic. ✨

🌈 Parameters 🌈

• UPLO — 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 — INTEGER; the order of the matrix A. N >= 0.
• A — 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 ZSYTRF_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 — INTEGER; the leading dimension of the array A. LDA >= max(1,N).
• IPIV — INTEGER array, dimension (N); details of the interchanges and the block structure of D as determined by ZSYTRF_ROOK.
• WORK — COMPLEX*16 array, dimension (N).
• INFO — 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 🌸

• 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 zsytri_rook.f.

---

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

---

okay that's the whole page, bestie! The footer vibes are LAPACK Version 3.12.0 and the page path /home/abui...tri_rook.f(3) — bye and slay 💖✨