TESTING/EIG/sget35.f(3)

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version 3.12.1 · 3 versions
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okay so bestie, welcome to the TESTING/EIG/sget35.f(3) page from the Library Functions Manual — it's giving ✨LAPACK test lore✨ and we're gonna get through it together. 💖

🌸 NAME 🌸

TESTING/EIG/sget35.f — that's the file, periodt. This page is all about the SGET35 subroutine and its documentation. 🫶

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

  • subroutine sget35 (rmax, lmax, ninfo, knt) — SGET35

🦋 Function/Subroutine Documentation 🦋

subroutine sget35 (real rmax, integer lmax, integer ninfo, integer knt)

SGET35 — main character subroutine energy. 👑

💅 Purpose

okay so here's the vibe: SGET35 tests STRSYL, a routine for solving the Sylvester matrix equation

op(A)*X + ISGN*X*op(B) = scale*C,

A and B are assumed to be in Schur canonical form, op() represents an optional transpose, and ISGN can be -1 or +1. Scale is an output less than or equal to 1, chosen to avoid overflow in X. No cap, that's important.

The test code verifies that the following residual is order 1:

norm(op(A)*X + ISGN*X*op(B) - scale*C) /
    (EPS*max(norm(A),norm(B))*norm(X))

🍓 Parameters

  • RMAX — RMAX is REAL. Value of the largest test ratio.
  • LMAX — LMAX is INTEGER. Example number where largest test ratio achieved.
  • NINFO — NINFO is INTEGER. Number of examples where INFO is nonzero.
  • KNT — 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 77 of file sget35.f.

💜 Author

Generated automatically by Doxygen for LAPACK from the source code.

💖 That's the whole page, bestie! Footer tea: LAPACK, Version 3.12.0, and page TESTING/EIG/sget35.f(3). Bye and slay! 💅✨

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