/home/abui...orcond_x.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/cla_porcond_x.f, straight out of the Library Functions Manual ✨ — and yeah, the path is literally that long, iykyk 🫶

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🌸 SYNOPSIS 🌸

Functions/Subroutines

• real function CLA_PORCOND_X (uplo, n, a, lda, af, ldaf, x, info, work, rwork) — bestie. CLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices. that's the whole vibe 💅

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✨ Function/Subroutine Documentation ✨

🎀 real function CLA_PORCOND_X (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf, complex, dimension( * ) x, integer info, complex, dimension( * ) work, real, dimension( * ) rwork)

CLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices. no cap, that's the entire job description 🔥

Purpose:

!>
!>    CLA_PORCOND_X Computes the infinity norm condition number of
!>    op(A) * diag(X) where X is a COMPLEX vector.
!>

ok so it's computing the infinity norm condition number of op(A) * diag(X), and X is a COMPLEX vector. she's doing math AND she's complex 💅 (literally 😭)

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Parameters

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

pick a triangle bestie, upper or lower, you literally have to choose ✨

• N — N is INTEGER

the number of linear equations, i.e., the order of the matrix A. N >= 0. yes queen, zero is allowed, negative is NOT 🚫

• A — A is COMPLEX array, dimension (LDA,N)

on entry, the N-by-N matrix A. she's the main character of this whole operation 👑

• LDA — LDA is INTEGER

the leading dimension of the array A. LDA >= max(1,N). respect the constraint or else 🫶

• AF — AF is COMPLEX array, dimension (LDAF,N)

the triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by CPOTRF. she's A's glow-up after the Cholesky treatment 🧚

• LDAF — LDAF is INTEGER

the leading dimension of the array AF. LDAF >= max(1,N). same energy as LDA, different letter ✨

• X — X is COMPLEX array, dimension (N)

the vector X in the formula op(A) * diag(X). she's the icon of the formula, truly the moment 🌟

• INFO — INFO is INTEGER
  • = 0: Successful exit. — slay, it worked 💖
  • i > 0: The ith argument is invalid. — not slay, argument number i did NOT pass the vibe check 💀
• WORK — WORK is COMPLEX array, dimension (2*N)

workspace. it's giving behind-the-scenes crew, essential but unglamorous 🎀

• RWORK — RWORK is REAL array, dimension (N)

workspace. again. but REAL this time, so she's keeping it grounded 🌸

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Author

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

periodt. a whole squad wrote this 👑

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📌 Definition at line 121 of file cla_porcond_x.f.

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💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code. so technically the robots wrote this one, we're just hyping it up 🙈

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✨ LAPACK — Version 3.12.0 ✨

/home/abui...orcond_x.f(3) — mwah, that's the page, love u bestie, go compute some condition numbers responsibly 💜🦋