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

💅 NAME 💅

bestie, this whole page is literally about /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zhetrs_rook.f — yes that's the actual path, I'm not kidding, it's giving "absolute path main character energy" 🌈 and it lives in the Library Functions Manual, section 3. Come get your LAPACK lore 🎀

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines

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

ZHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges) 🔥 no cap, that's the whole vibe.

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👑 Function/Subroutine Documentation 👑

🌸 subroutine ZHETRS_ROOK

subroutine ZHETRS_ROOK (character uplo, integer n, integer nrhs, complex*16,
    dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,
    complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges) ⭐ like I said, iconic behaviour only.

🎯 Purpose:

!>
!> ZHETRS_ROOK solves a system of linear equations A*X = B with a complex
!> Hermitian matrix A using the factorization A = U*D*U**H or
!> A = L*D*L**H computed by ZHETRF_ROOK.
!>

okay so basically: you give it a factorization somebody else (ZHETRF_ROOK, we 👏 love 👏 her 👏) already did the hard work for, and she hands you back your solution. team work makes the dream work 🫶

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🦋 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.
!>

bestie it's one character and it decides everything — 'U' for upper triangular (form is A = U*D*U**H), 'L' for lower triangular (form is A = L*D*L**H). choose wisely, literally 💅

• N

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>

the order of the matrix A. N >= 0, periodt.

• NRHS

!>          NRHS is INTEGER
!>          The number of right hand sides, i.e., the number of columns
!>          of the matrix B.  NRHS >= 0.
!>

the number of right hand sides — i.e., the number of columns of the matrix B. NRHS >= 0, fr fr.

• A

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The block diagonal matrix D and the multipliers used to
!>          obtain the factor U or L as computed by ZHETRF_ROOK.
!>

a COMPLEX*16 array, dimension (LDA,N) — it's the block diagonal matrix D plus the multipliers used to obtain the factor U or L as computed by ZHETRF_ROOK. she's carrying the whole group project ngl 😭

• LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

the leading dimension of the array A. LDA >= max(1,N) — don't skip this, the vibe check will fail 💀

• IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          Details of the interchanges and the block structure of D
!>          as determined by ZHETRF_ROOK.
!>

an INTEGER array, dimension (N) — the details of the interchanges and the block structure of D as determined by ZHETRF_ROOK. she knows things 👀

• B

!>          B is COMPLEX*16 array, dimension (LDB,NRHS)
!>          On entry, the right hand side matrix B.
!>          On exit, the solution matrix X.
!>

a COMPLEX*16 array, dimension (LDB,NRHS). on entry it's the right hand side matrix B; on exit it's the solution matrix X. glow-up arc, honestly ✨🦋

• LDB

!>          LDB is INTEGER
!>          The leading dimension of the array B.  LDB >= max(1,N).
!>

the leading dimension of the array B. LDB >= max(1,N), same energy, same rules 🌸

• INFO

!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>

the receipts 🧾 — = 0 means successful exit (slay), < 0 means if INFO = -i, the i-th argument had an illegal value (not slay, go fix it 🙈)

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👑 Author

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

the whole squad showed up, we love a collab 🌈

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💜 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
!>
!>

Igor Kozachenko (Computer Science Division, University of California, Berkeley) in November 2013 — and before that, in September 2007, Sven Hammarling, Nicholas J. Higham and Craig Lucas (School of Mathematics, University of Manchester). legends only, no cap 👑🔥

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📌 Definition at line 134 of file zhetrs_rook.f. — found her! that's the exact coordinate, iykyk 🎀

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⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code. robot wrote this, not a human, but the vibes are immaculate anyway 🤖💖

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okay that's the whole page bestie, go forth and solve those complex Hermitian systems 💅🫶

LAPACK · Version 3.12.0 · /home/abui...trs_rook.f(3) — mwah, see you in section 3, xoxo 🎀✨💜