Work

An effective criterion for a stable factorisation of strictly non-singular 2 × 2 matrix functions: use of the ExactMPF package

Year: 2024

Type: article

Abstract: In this paper, we propose a method to factorise arbitrary strictly non-singular 2 × 2 matrix functions, allowing for stable factorisation. For this purpose, we use the E x a c t M P F package working within the Maple environment previously developed by the authors and perform an exact factorisation of a non-singular polynomial matrix function. A crucial point in the present analysis is the evaluation of a stability region of the canonical factorisation of the polynomial matrix functions. This, in turn, allows us to propose a sufficient condition for the given matrix function admitting stable factorisation.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2024.0116

Authors: N. V. Adukova, V. M. Adukov, G. Mishuris

Institutions: Aberystwyth University, South Ural State University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Engineering and Physical Sciences Research Council, H2020 Marie Skłodowska-Curie Actions

Award: G3691759950