SRC/zla_hercond_c.f(3)

✨ SRC/zla_hercond_c.f ✨

okay so this is a page from the LAPACK manual (like, the actual library manual, not a fandom wiki) and honestly? it's giving legendary. it's the zla_hercond_c girlies' moment. sit down bestie, we're learning 💅

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🌸 SYNOPSIS 🌸

Functions/Subroutines

• double precision function zla_hercond_c (uplo, n, a, lda, af, ldaf, ipiv, c, capply, info, work, rwork) — ZLA_HERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices. yes that's a whole mouthful and yes she ate 🔥

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💖 Function/Subroutine Documentation 💖

🎀 double precision function zla_hercond_c (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double precision, dimension ( * ) c, logical capply, integer info, complex*16, dimension( * ) work, double precision, dimension( * ) rwork)

ZLA_HERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices. that's the whole vibe, that's the whole function, periodt ✨

🦋 Purpose:

ZLA_HERCOND_C computes the infinity norm condition number of op(A) * inv(diag(C)) where C is a DOUBLE PRECISION vector.

like, it's literally measuring how much your answer could go off the rails. very main character energy 😭

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🌈 Parameters

• UPLO — UPLO is CHARACTER*1. which triangle of A are we even looking at, bestie?
  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored.
• N — N is INTEGER. The number of linear equations, i.e., the order of the matrix A. N >= 0. (so zero is allowed, don't come for her 🙈)
• A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the N-by-N matrix A. the moment herself 👑
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N). respect the leading dimension or she will not respect you 💀
• AF — AF is COMPLEX*16 array, dimension (LDAF,N). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. lowkey the aftermath of the factorization 🫶
• LDAF — LDAF is INTEGER. The leading dimension of the array AF. LDAF >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by CHETRF. (note: CHETRF, not ZHETRF — yes that's what the page says, no I did not change it, iykyk 🧚)
• C — C is DOUBLE PRECISION array, dimension (N). The vector C in the formula op(A) * inv(diag(C)). the C in question 💅
• CAPPLY — CAPPLY is LOGICAL. If .TRUE. then access the vector C in the formula above. if .FALSE., C gets to sit there unbothered 🌸
• INFO — INFO is INTEGER.
  • = 0: Successful exit. slay 🎉
  • i > 0: The ith argument is invalid. not slay 💀
• WORK — WORK is COMPLEX*16 array, dimension (2*N). Workspace. (yes, 2*N, not N, the space is real)
• RWORK — RWORK is DOUBLE PRECISION array, dimension (N). Workspace. her little double-precision sidekick 🍓

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👑 Author

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

absolute icons, all four of them 🫶

Definition at line 137 of file zla_hercond_c.f. go read the source if you want the director's cut 📖

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⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code. so nobody hand-wrote this, a robot did, and honestly she still served 🎀

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heads up bestie: this whole page is auto-generated documentation for the LAPACK library, so if the vibes feel a little stiff that's on the generator, not on me 💜

and that's the page!! LAPACK Version 3.12.0, from SRC/zla_hercond_c.f(3) — go forth and condition those numbers responsibly, ily, bye 🦋🌷✨