TESTING/EIG/sget10.f(3)

💅 TESTING/EIG/sget10.f — from the LAPACK Library Functions Manual

okay so bestie, welcome to sget10.f(3) 💖 this is a page straight out of the LAPACK manual (the TESTING/EIG corner of it, specifically 🧚), and it's all about one little subroutine that grades your matrices. yes, grades them. like a professor but for floating point. let's get into it ✨

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✨ NAME ✨

TESTING/EIG/sget10.f — the file, the vibe, the whole entire moment 🎀

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🌸 SYNOPSIS 🌸

Functions/Subroutines

• subroutine sget10 (m, n, a, lda, b, ldb, work, result) — the one and only. that's her. that's the subroutine 💅

subroutine sget10 (m, n, a, lda, b, ldb, work, result)

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🦋 Function/Subroutine Documentation 🦋

subroutine sget10 (integer m, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( ldb, * ) b, integer ldb, real, dimension( * ) work, real result)

SGET10

🎯 Purpose

ok so the whole point of her (and she's very clear about it, no cap):

!>
!> SGET10 compares two matrices A and B and computes the ratio
!> RESULT = norm( A - B ) / ( norm(A) * M * EPS )
!>

that's it. that's the job. she takes two matrices, looks at how different they are, and normalizes that difference by norm(A) * M * EPS so you get a nice comparable number back. iconic behavior honestly 👑

🌈 Parameters

• M

!>          M is INTEGER
!>          The number of rows of the matrices A and B.
!>

the row count, for both matrices. she's counting rows of A and B, same number for each 💖

• N

!>          N is INTEGER
!>          The number of columns of the matrices A and B.
!>

the column count, again for both. A and B are matching-shape besties fr fr 🫶

• A

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

matrix numero uno, a REAL array of dimension (LDA,N), m by n 💜

• LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,M).
!>

the leading dimension of A. hard requirement: LDA >= max(1,M). not a suggestion, bestie, a requirement 😌

• B

!>          B is REAL array, dimension (LDB,N)
!>          The m by n matrix B.
!>

matrix numero dos, REAL array of dimension (LDB,N), also m by n. the comparison partner 🌸

• LDB

!>          LDB is INTEGER
!>          The leading dimension of the array B.  LDB >= max(1,M).
!>

leading dimension of B, and yes: LDB >= max(1,M). same energy as LDA 💫

• WORK

!>          WORK is REAL array, dimension (M)
!>

scratch space, REAL array of dimension (M). she needs room to do the math, okay? 🎀

• RESULT

!>          RESULT is REAL
!>          RESULT = norm( A - B ) / ( norm(A) * M * EPS )
!>

the payoff 💖 a REAL number, and it equals norm( A - B ) / ( norm(A) * M * EPS ). this is the grade she hands back to you ⭐

👑 Author

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

📌 Definition

definition lives at line 92 of file sget10.f.

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🔥 Author (again, yes really)

generated automatically by Doxygen for LAPACK from the source code. so nobody hand-wrote this page, a robot did it, and honestly? she ate 🤖💅

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that's the whole page!! every flag, every dimension, every LDA >= max(1,M) accounted for, no cap 🧚💜 mwah, go compare some matrices bestie

— with love, from LAPACK, Version 3.12.0, on page TESTING/EIG/sget10.f(3) 🍓🦋✨