TESTING/EIG/dget35.f(3)

🎀 NAME 🎀

TESTING/EIG/dget35.f — yes bestie, that’s the page, and it’s giving LAPACK Library Functions Manual energy. 💅

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine dget35 (rmax, lmax, ninfo, knt)

DGET35

🌟 Function/Subroutine Documentation 🌟

💖 DGET35 💖

subroutine dget35 (double precision rmax, integer lmax, integer ninfo,
     integer knt)

DGET35

🦋 Purpose 🦋

Okay so DGET35 tests DTRSYL, 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. Iconic behavior, honestly. 😭

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 — DOUBLE PRECISION. Value of the largest test ratio.
• LMAX — INTEGER. Example number where largest test ratio achieved.
• NINFO — INTEGER. Number of examples where INFO is nonzero.
• KNT — 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 dget35.f.

📜 Author 📜

Generated automatically by Doxygen for LAPACK from the source code.

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Footer sign-off tea: source is LAPACK, version is 3.12.0, and the page doesn’t list a date, so I’m not making one up — periodt. Bye bestie, slay those Sylvester solves! 💖✨🎀