lyap(3)

✨ NAME ✨

lyap — Lyapunov and Stein Equations 💖

• Solvers for Lyapunov and Stein equations.

Like. okay bestie, this is the landing page for a whole lil family of solvers. Stay with me 🫶

---

🌸 SYNOPSIS 🌸

🎀 Topics

• Standard Triangular Lyapunov and Stein Equations — Solvers for standard Lyapunov and Stein equations with triangular coefficient matrices.
• Generalized Triangular Lyapunov and Stein Equations — Solvers for generalized Lyapunov and Stein equations with triangular coefficient matrices.
• Standard Lyapunov and Stein Equations — Solvers for standard Lyapunov and Stein equations with general coefficient matrices.
• Generalized Lyapunov and Stein Equations — Solvers for generalized Lyapunov and Stein equations with general coefficient matrices.

---

🦋 Detailed Description 🦋

Solvers for Lyapunov and Stein equations. That's the whole vibe 💅

ngl the lore here is kinda iconic: the Lyapunov equation and the Stein equation are both special cases of the Sylvester equations. But here's the plot twist — they have a symmetric nature 🌈 and so the solvers for these equations have to take this into account in order to compute a proper and accurate solution. Like, you can't just ignore the symmetry, the math will literally notice 😭

fr fr: symmetry is not decoration here. The solvers are built around it, and that's what gets you a proper and accurate answer.

---

👑 Author 👑

Generated automatically by Doxygen for MEPACK from the source code. Not a human typing this at 3am, just the machine doing its thing 🤖✨

---

Okay that's the whole page bestie, ily, go solve something symmetric 💖 This was Version 1.1.2, dated Thu Oct 9 2025 00:00:00 — mwah, periodt 🎀