TESTING/EIG/sget36.f(3)

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💅 TESTING/EIG/sget36.f(3) 💅

okay bestie, this is the TESTING/EIG/sget36.f(3) page from the Library Functions Manual — manual-name energy folded in right at the top like a lil name tag 🫶. It's the home of SGET36, and we're about to vibe-check it together.

✨ NAME ✨

TESTING/EIG/sget36.f

🌈 SYNOPSIS 🌈

🧚 Functions/Subroutines 🧚

   subroutine sget36 (rmax, lmax, ninfo, knt, nin)
       SGET36

📚 Function/Subroutine Documentation 📚

   subroutine sget36 (real rmax, integer lmax, integer, dimension( 3 ) ninfo,
       integer knt, integer nin)
       SGET36

💖 Purpose 💖

Okay so SGET36 tests STREXC, which is the routine for moving blocks — either 1 by 1 or 2 by 2 — on the diagonal of a matrix in real Schur form. Thus, SLAEXC computes an orthogonal matrix Q such that

   Q' * T1 * Q  = T2

and one of the diagonal blocks of T1 (the one at row IFST) has been moved to position ILST.

The test code verifies three things, bestie: that the residual Q'*T1*Q-T2 is small, that T2 is in Schur form, and that the final position of the IFST block is ILST (within +-1). Iconic verification behavior, honestly. 🔥

The test matrices are read from a file with logical unit number NIN. Periodt.

🌸 Parameters 🌸

  • RMAX — RMAX is REAL. This is where the value of the largest test ratio lives. 👑
  • LMAX — LMAX is INTEGER. This is the example number where the largest test ratio was achieved. 🎯
  • NINFO — NINFO is INTEGER array, dimension (3). NINFO(J) is the number of examples where INFO=J. So yes, all three info-count slots are accounted for. 💅
  • KNT — KNT is INTEGER. Total number of examples tested. The whole count, no cap. 🔢
  • NIN — NIN is INTEGER. Input logical unit number. 🧚

👑 Author 👑

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

Definition at line 87 of file sget36.f.

🎀 Author 🎀

Generated automatically by Doxygen for LAPACK from the source code.

okay that's the whole page, bestie — footer sign-off: LAPACK Version 3.12.0 and TESTING/EIG/sget36.f(3), with all the source/version and date-footer energy cutely mentioned instead of copied 💖✨🫶

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