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

🦋 NAME 🦋

ok so bestie, this is the manual page for /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/csytrs_rook.f — yes that's the whole entire path, she's got a lot of names, we love a long dramatic title 💅 it's a Library Functions Manual situation, LAPACK girlie, and she's here to solve your linear systems. periodt.

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✨ SYNOPSIS ✨

🌸 Functions/Subroutines 🌸

ok so the actual star of the show is this one:

subroutine CSYTRS_ROOK (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)

literally CSYTRS_ROOK. that's her name. that's the whole vibe. 🎀

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👑 Function/Subroutine Documentation 👑

subroutine CSYTRS_ROOK (character uplo, integer n, integer nrhs, complex,
    dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,
    complex, dimension( ldb, * ) b, integer ldb, integer info)

CSYTRS_ROOK — say it with me, iconic. 💖

🧚 Purpose:

!>
!> CSYTRS_ROOK solves a system of linear equations A*X = B with
!> a complex symmetric matrix A using the factorization A = U*D*U**T or
!> A = L*D*L**T computed by CSYTRF_ROOK.
!>

so basically she solves A*X = B where A is a complex symmetric matrix, using the factorization A = U*D*U**T or A = L*D*L**T that was already computed for you by CSYTRF_ROOK. no cap, that's the whole job and she ate. 🔥

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🎀 Parameters 🎀

• UPLO — okay so UPLO is CHARACTER*1 and it specifies whether the details of the factorization are stored as an upper or lower triangular matrix, iykyk:
  • = 'U': Upper triangular, form is A = U*D*U**T;
  • = 'L': Lower triangular, form is A = L*D*L**T.
• N — N is INTEGER and it's the order of the matrix A. constraint era: N >= 0. 🫶
• NRHS — NRHS is INTEGER, the number of right hand sides, i.e., the number of columns of the matrix B. and yes: NRHS >= 0. 🌸
• A — A is COMPLEX array, dimension (LDA,N). she holds the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF_ROOK. main character energy tbh. 👑
• LDA — LDA is INTEGER, the leading dimension of the array A. requirement: LDA >= max(1,N). don't skip the vibe check on this one. ⭐
• IPIV — IPIV is INTEGER array, dimension (N). details of the interchanges and the block structure of D as determined by CSYTRF_ROOK. 💜
• B — B is COMPLEX array, dimension (LDB,NRHS). on entry, the right hand side matrix B. on exit, the solution matrix X. she literally transforms, obsessed. ✨
• LDB — LDB is INTEGER, the leading dimension of the array B. requirement: LDB >= max(1,N). 🦋
• INFO — INFO is INTEGER and she's the receipts:
  • = 0: successful exit 🎉
  • < 0: if INFO = -i, the i-th argument had an illegal value 💀

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💖 Author 💖

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

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🌈 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
!>
!>

shoutout to the whole crew, fr fr 🫶✨

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🍓 Definition at line 134 of file csytrs_rook.f. 🍓

⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code. (not me hand-typing this at 2am, the robots did it 🙈)

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okay bestie that's the whole page, you're officially a CSYTRS_ROOK understander now 💅

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✨ that's a wrap! LAPACK, Version 3.12.0, and this whole gorgeous mess lives at /home/abui...trs_rook.f(3) — go off, queen 🎀💖