N. Adukova

collaborators

2 papers

math.CV2026

Normalisation of Wiener--Hopf Factorisation for Matrix Functions

Nataliia Adukova, Victor Adukov

{For a matrix function $A (t)$ , we study the normalisation of its Wiener--Hopf factorisation $A (t) = A_{-} (t) D (t) A_{+} (t)$ which guarantees the uniqueness of the factors $A_{\pm} (t)$ . Previ…

math.RA2024

An effective criterion for a stable factorisation of strictly nonsingular 2x2 matrix functions. Utilisation of the ExactMPF package

Natalia Adukova, Victor Adukov, Gennady Mishuris

In this paper, we propose a method to factorise of arbitrary strictly nonsingular 2x2 matrix functions allowing for stable factorisation. For this purpose, we utilise the ExactMPF…