Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function

DOI10.1098/RSPA.2020.0099zbMath1472.15019OpenAlexW3031756746WikidataQ96230444 ScholiaQ96230444MaRDI QIDQ5160954

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Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2020.0099

zbMATH Keywords

Toeplitz matrixanalysisWiener algebratriangular matricesfactorization of matrix functionsessential polynomials

Mathematics Subject Classification ID

Factorization of matrices (15A23) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (5)

Normalization of Wiener - Hopf factorization for $2\times 2$ matrix functions and its application ⋮ Factorization of the partly non-rational matrix of arbitrary order ⋮ Unnamed Item ⋮ On effective criterion of stability of partial indices for matrix polynomials ⋮ On explicit Wiener–Hopf factorization of 2 × 2 matrices in a vicinity of a given matrix

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.)
• Factorization of matrix functions and singular integral operators
• Generalized inversion of block Toeplitz matrices
• On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries
• A brief historical perspective of the Wiener-Hopf technique
• Constructive methods for factorization of matrix-functions
• Factorization of a class of matrix‐functions with stable partial indices
• The Riemann-Hilbert problem
• Regular approximate factorization of a class of matrix-function with an unstable set of partial indices
• On explicit Wiener–Hopf factorization of 2 × 2 matrices in a vicinity of a given matrix
• Factorization of triangular matrix-functions of an arbitrary order
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