SRC/cla_syrcond_c.f(3)

SRC/cla_syrcond_c.f(3) 💅

okay so bestie, this is a page from the Library Functions Manual — LAPACK's own little corner of the man-page universe — and it's all about one extremely specific, lowkey iconic Fortran function. Buckle up. 🎀

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✨ NAME ✨

SRC/cla_syrcond_c.f — that's the file, that's the vibe. It's giving "source file, main character energy."

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🦋 SYNOPSIS 🦋

Functions/Subroutines

• real function cla_syrcond_c (uplo, n, a, lda, af, ldaf, ipiv, c, capply, info, work, rwork) — CLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefinite matrices.

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🌸 Function/Subroutine Documentation 🌸

real function cla_syrcond_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)

CLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefinite matrices. That's the whole assignment, and she ate. 💅

🧚 Purpose:

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

So yeah — infinity norm condition number of op(A) * inv(diag(C)), and C is a REAL vector, no cap. 💖

👑 Parameters

• UPLO — UPLO is CHARACTER*1:
  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored.

pick one, bestie, and pick it correctly 🙈

• N — N is INTEGER. The number of linear equations, i.e., the order of the matrix A. N >= 0. (Respect the boundary, fr fr.)
• A — A is COMPLEX array, dimension (LDA,N). On entry, the N-by-N matrix A. 🌟
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N). Don't be weird about it.
• AF — AF is COMPLEX array, dimension (LDAF,N). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF. 🫶
• 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 CSYTRF. 🔥
• C — C is REAL array, dimension (N). The vector C in the formula op(A) * inv(diag(C)). 🍓
• CAPPLY — CAPPLY is LOGICAL. If .TRUE. then access the vector C in the formula above. (Yes bestie, it's a whole toggle. .TRUE. means go, get that C.)
• INFO — INFO is INTEGER:
  • = 0: Successful exit. 🎉
  • i > 0: The ith argument is invalid. 😭 (check your inputs, diva)
• WORK — WORK is COMPLEX array, dimension (2*N). Workspace. Not glamorous, but necessary. 💜
• RWORK — RWORK is REAL array, dimension (N). Workspace. Same energy, different precision. ⭐

⭐ Author

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

💫 Definition at line 136 of file cla_syrcond_c.f.

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💀 Author

Generated automatically by Doxygen for LAPACK from the source code. (Not a human, just a robot doing robot things — iconic behaviour honestly.)

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okay that's the whole page!! 🫶 written by the Doxygen machine for LAPACK, Version 3.12.0, on the SRC/cla_syrcond_c.f(3) page — mwah, go forth and compute your condition numbers responsibly 💖✨🎀