TESTING/EIG/sget33.f(3)

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🎀 TESTING/EIG/sget33.f(3) 🎀

okay bestie, this page is from the Library Functions Manual, and it's giving “tiny test routine with big main-character energy” 💅. The page title is TESTING/EIG/sget33.f(3), and it's all about the sget33 subroutine. let's get into it ✨

✨ NAME ✨

TESTING/EIG/sget33.f

🦋 SYNOPSIS 🦋

🧚 Functions/Subroutines 🧚

  • subroutine sget33 (rmax, lmax, ninfo, knt) — SGET33

🌸 Function/Subroutine Documentation 🌸

subroutine sget33 (real rmax, integer lmax, integer ninfo, integer knt)

SGET33

💖 Purpose 💖

okay so SGET33 tests SLANV2, a routine for putting 2 by 2 blocks into standard form. In other words, it computes a two by two rotation [[C,S] [-S,C]] where in:

   [ C S ][T(1,1) T(1,2)][ C -S ] = [ T11 T12 ]
   [-S C ][T(2,1) T(2,2)][ S  C ]   [ T21 T22 ]

either:

  1. T21=0 (real eigenvalues), or
  2. T11=T22 and T21*T12<0 (complex conjugate eigenvalues).

We also verify that the residual is small.

🔍 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 returned with INFO .NE. 0.
  • 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 75 of file sget33.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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