SGET31(3)

💖 NAME 💖

Okay bestie, welcome to the Library Functions Manual 💅 — this is the page for SGET31(3), and the file it’s about is literally:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/EIG/sget31.f

No cap, that’s lowkey the whole NAME section: ngl, the routine lives in that file. fr fr. 🫶

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine SGET31 (rmax, lmax, ninfo, knt)
    SGET31

✨ It’s giving “subroutine with a little entourage of arguments.” ✨

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🧚 Function/Subroutine Documentation 🧚

Here’s the full documented signature, exactly:

subroutine SGET31 (real rmax, integer lmax, integer, dimension( 2 ) ninfo,
    integer knt)
    SGET31

🎀 Purpose: 🎀

SGET31 tests SLALN2, a routine for solving:

(ca A - w D)X = sB

where A is an NA by NA matrix (NA=1 or 2 only), w is a real (NW=1) or complex (NW=2) constant, ca is a real constant, D is an NA by NA real diagonal matrix, and B is an NA by NW matrix (when NW=2, the second column of B contains the imaginary part of the solution). The code returns X and s, where s is a scale factor, less than or equal to 1, chosen to avoid overflow in X. 😭✋ no overflow allowed.

If any singular values of ca A-w D are less than another input parameter SMIN, they are perturbed up to SMIN. 🌀

The test condition is that the scaled residual:

    norm( (ca A-w D)*X - s*B ) /
          ( max( ulp*norm(ca A-w D), SMIN )*norm(X) )

should be on the order of 1. Here, ulp is the machine precision. Also, it is verified that SCALE is less than or equal to 1, and that XNORM = infinity-norm(X). 👑

🌸 Parameters 🌸

• RMAX — is REAL; value of the largest test ratio. 🔥
• LMAX — is INTEGER; example number where largest test ratio achieved. 🎯
• NINFO — is INTEGER array, dimension (2); NINFO(1) = number of examples with INFO less than 0; NINFO(2) = number of examples with INFO greater than 0. 🌈
• KNT — is INTEGER; total number of examples tested. 🧮

👑 Author 👑

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

Definition at line 90 of file sget31.f. 📍

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💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

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Okay that’s the whole page, bestie. Cute sign-off: this is LAPACK Version 3.12.0, and the footer path is /home/abui...IG/sget31.f(3) — slay, you made it to the end! periodt. 💅✨