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

✨ NAME ✨

okay so bestie, welcome to the cla_hercond_c.f(3) page from the Library Functions Manual. This whole page is about CLA_HERCOND_C, and she is lowkey iconic. The source file is:

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

That path is long, so copy it exactly, bestie. 🫶

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🦋 SYNOPSIS 🦋

🧚 Functions/Subroutines 🧚

real function CLA_HERCOND_C (uplo, n, a, lda, af, ldaf, ipiv, c, capply, info, work, rwork)

CLA_HERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices. Slay. ✨

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🌸 Function/Subroutine Documentation 🌸

real function CLA_HERCOND_C (character uplo, integer n, complex, dimension(
    lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf,
    integer, dimension( * ) ipiv, real, dimension ( * ) c, logical capply,
    integer info, complex, dimension( * ) work, real, dimension( * ) rwork)

Same function, now with the full signature. CLA_HERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices. 💅

🎀 Purpose 🎀

The source comment says, literally:

!>
!>    CLA_HERCOND_C computes the infinity norm condition number of
!>    op(A) * inv(diag(C)) where C is a REAL vector.
!>

So yeah: it’s computing the infinity norm condition number of op(A) * inv(diag(C)), and C is a REAL vector. That’s the whole vibe check. 🔥

🦋 Parameters 🦋

• UPLO — UPLO is CHARACTER*1
  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored. This one tells you which triangle of A is stored. Iconic little switch. 💅
• N — N is INTEGER It’s the number of linear equations, i.e., the order of the matrix A, and the rule is N >= 0. Respect the bound, bestie. 🫶
• A — A is COMPLEX array, dimension (LDA,N) On entry, this is the N-by-N matrix A. Main character matrix energy. 👑
• LDA — LDA is INTEGER The leading dimension of the array A, and it has to satisfy LDA >= max(1,N). No cap. ⭐
• AF — AF is COMPLEX array, dimension (LDAF,N) This is the block diagonal matrix D and the multipliers used to obtain the factor U or L, as computed by CHETRF. That’s the factorization lore. 🧚
• LDAF — LDAF is INTEGER The leading dimension of the array AF, and the rule is LDAF >= max(1,N). Periodt. 💜
• IPIV — IPIV is INTEGER array, dimension (N) The details of the interchanges and the block structure of D, as determined by CHETRF. This is where the pivoting tea lives. 🍓
• C — C is REAL array, dimension (N) The vector C in the formula op(A) * inv(diag(C)). She’s real, she’s a vector, she’s in the formula. 💖
• CAPPLY — CAPPLY is LOGICAL If .TRUE., then access the vector C in the formula above. If not, bestie, don’t. 🙈
• INFO — INFO is INTEGER
  • = 0: Successful exit.
  • i > 0: The ith argument is invalid. So 0 means we ate and left no crumbs, and i > 0 means the ith argument is invalid. 😭
• WORK — WORK is COMPLEX array, dimension (2*N). Workspace. It’s giving backstage crew. 🎀
• RWORK — RWORK is REAL array, dimension (N). Workspace, but make it REAL. 🌸

👑 Author 👑

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

Definition at line 136 of file cla_hercond_c.f.

🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code. So this page was made by the Doxygen robot, not a human with a group chat. 💀

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That’s the whole page, bestie — brought to you by LAPACK Version 3.12.0, from the footer’s /home/abui...ercond_c.f(3). The footer didn’t give a date, so I’m not making one up. No cap, periodt. 🫶✨