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Augusto Ferrante

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Preprint Sep 2026

A Duality Reformulation of the Companion-Matrix Lyapunov Problem

We study the relation between positive semidefiniteness and entrywise nonnegativity for solutions of continuous-time Lyapunov equations. For a real Hurwitz matrix $A$, we show that the solution of $AP+PA^\top=-Q$ is positive semidefinite for every symmetric entrywise nonnegative $Q$ if and only if the solution of $A^\t...

Augusto Ferrante · 1 citation

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