/home/abui...N/clarge.f(3)

💜 NAME

ok so bestie, this is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/clarge.f — like, the whole entire path, yes ma'am, that's literally the name of this page 💅 it's from the Library Functions Manual and it's giving "LAPACK testing matrix generator" realness ✨

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🦋 SYNOPSIS

Functions/Subroutines

• subroutine CLARGE (n, a, lda, iseed, work, info) — yup, that's our girl. CLARGE. iconic name, iconic behaviour 💖

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🎀 Function/Subroutine Documentation

subroutine CLARGE (integer n, complex, dimension( lda, * ) a, integer lda,
    integer, dimension( 4 ) iseed, complex, dimension( * ) work, integer
    info)

CLARGE — she's the main character of this page, no cap 👑

🌸 Purpose

!>
!> CLARGE pre- and post-multiplies a complex general n by n matrix A
!> with a random unitary matrix: A = U*D*U'.
!>

ok so like, she takes your matrix A (that's an n by n complex general matrix) and hits it with a random unitary matrix on both sides. pre-multiply, post-multiply, done, slay. the whole vibe is A = U*D*U' — that's the formula, memorize it, it's on the test 💅

✨ Parameters

• N — N is INTEGER, the order of the matrix A. and N >= 0 — that's the vibe check, keep it non-negative or she's not happy 🫶
• A — A is COMPLEX array, dimension (LDA,N). on entry, this is literally the original n by n matrix A. on exit? overwritten, bestie 😭 she gets replaced by U*A*U' for some random unitary matrix U. your original A is gone, that's the whole point, that's the assignment ✨
• LDA — LDA is INTEGER, the leading dimension of the array A. rule is LDA >= N. don't fight it, just obey it 🎀
• ISEED — ISEED is INTEGER array, dimension (4). on entry: the seed of the random number generator 🌱 every single array element must be between 0 and 4095, and ISEED(4) must be odd — yes, odd, ISEED(4), specifically the fourth one, don't come at me about it, that's just the rules. on exit: the seed is updated 🔥
• WORK — WORK is COMPLEX array, dimension (2*N). that's it, that's the tea, give her 2*N complex slots and she'll handle the rest 🧚
• INFO — INFO is INTEGER, the receipts:
  • = 0: successful exit 🎉 literally perfect, no notes
  • < 0: if INFO = -i, the i-th argument had an illegal value 💀 something you passed in was wrong, go check argument number i

👑 Author

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

the whole squad came together for this one, we love a collab 🫶

Definition at line 86 of file clarge.f. iykyk 📍

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🌈 Author

Generated automatically by Doxygen for LAPACK from the source code. so like, a robot wrote the original and I'm just here making it cute 🦋✨

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LAPACK · Version 3.12.0 · and the page is sitting pretty as /home/abui...N/clarge.f(3) — mwah, that's the whole page, hope you slayed it bestie 💖💅🎀