Factorization of triangular matrix-functions of an arbitrary order

DOI10.1134/S1995080218010213zbMath1440.47014OpenAlexW2974770003MaRDI QIDQ5920169

L. Primachuk, Sergei V. Rogosin

Publication date: 6 April 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218010213

zbMATH Keywords

Wiener-Hopf factorizationpartial indicesSokhotskiĭ-Plemelj decompositionsquare triangular matrix-function of arbitrary order

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Boundary value problems in the complex plane (30E25)

Related Items (3)

Factorization of the partly non-rational matrix of arbitrary order ⋮ Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function ⋮ Applying an iterative method numerically to solve n × n matrix Wiener–Hopf equations with exponential factors

Cites Work

• Transformation techniques towards the factorization of non-rational 2\({\times}\)2 matrix functions
• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• A method of explicit factorization of matrix functions and applications
• Constructive methods for factorization of matrix-functions
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