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math.NA2026
Matrix nearness problems: Do real inputs admit real solutions?
Vanni Noferini, Matvei Zhukov
Given a real square matrix and a nonempty closed target set of complex matrices , invariant by complex conjugation and containing real matrices, does the subset of…
math.NA2026
Closest Normal Matrix Found Again Using Riemannian Optimization
Vanni Noferini, Matvei Zhukov
We propose an approach based on Riemannian optimization to compute a nearest normal matrix to a given one. The problem can be formulated as the minimization of a smooth function ei…
math.NA2026
Fast stability tests for Hermitian matrix polynomials
Vanni Noferini, Xuzhou Zhan
Assessing the asymptotic stability of linear self-adjoint homogeneous systems of differential-algebraic equations requires testing the Hurwitz stability of the associated Hermitian…