TESTING/LIN/sqrt13.f(3)

💅 TESTING/LIN/sqrt13.f(3) ✨

okay so this is a page from the Library Functions Manual (yes, that manual, we're fancy now 🎀), and it's all about one little subroutine that makes matrices. buckle up bestie 🦋

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🌸 NAME 🌸

TESTING/LIN/sqrt13.f — literally the file, that's the name, no notes 💅

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✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine sqrt13 (scale, m, n, a, lda, norma, iseed) — SQRT13 👑 (that's the whole one-liner, she's mysterious like that)

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🧚 Function/Subroutine Documentation 🧚

subroutine sqrt13 (integer scale, integer m, integer n, real, dimension( lda, * ) a, integer lda, real norma, integer, dimension( 4 ) iseed)

SQRT13 🫶 (yes, again, that's what the doc says)

🎯 Purpose:

!>
!> SQRT13 generates a full-rank matrix that may be scaled to have large
!> or small norm.
!>

so basically: it builds you a full-rank matrix 🔥 and you get to pick whether it's got a big norm or a tiny little norm. main character matrix energy, honestly. no cap.

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💖 Parameters 💖

• SCALE

!>          SCALE is INTEGER
!>          SCALE = 1: normally scaled matrix
!>          SCALE = 2: matrix scaled up
!>          SCALE = 3: matrix scaled down
!>

it's an INTEGER and it's the vibe dial 🎛️ — SCALE = 1 gives you a normally scaled matrix (just chillin'), SCALE = 2 scales that matrix up 📈, and SCALE = 3 scales it down 📉. pick your fighter.

• M

!>          M is INTEGER
!>          The number of rows of the matrix A.
!>

INTEGER, and it's the number of rows of the matrix A — how tall she is 🦒

• N

!>          N is INTEGER
!>          The number of columns of A.
!>

INTEGER, the number of columns of A — how wide she is 🐋

• A

!>          A is REAL array, dimension (LDA,N)
!>          The M-by-N matrix A.
!>

a REAL array with dimension (LDA,N) — and it's the M-by-N matrix A herself 👑 the whole point of the function, lowkey.

• LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.
!>

INTEGER, and it's the leading dimension of the array A — the classic, iconic, always-there LDA 🎀

• NORMA

!>          NORMA is REAL
!>          The one-norm of A.
!>

a REAL, and it's the one-norm of A 💜 (the norm, but specifically the one-norm, okurrr)

• ISEED

!>          ISEED is integer array, dimension (4)
!>          Seed for random number generator
!>

an INTEGER array with dimension (4), and it's the seed for the random number generator 🌈 — the chaos source, the RNG's little sparkle ✨

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👑 Author 👑

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

(an absolute squad 🫶 four whole institutions showing up for one subroutine, we love to see it)

Definition at line 90 of file sqrt13.f. 📍 (iykyk, line 90, that's where she lives)

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💀 Author 💀

Generated automatically by Doxygen for LAPACK from the source code. 🤖 (not a human, just a robot doing its little robot thing, and honestly? slay)

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and that's the whole page bestie!! 🌸✨ this was LAPACK, Version 3.12.0 — that's the version and that's the tea 🍓, and the page is TESTING/LIN/sqrt13.f(3), mwah 💋💅