An asymptotic method of factorization of a class of matrix-functions

Gennady Mishuris; Sergei Rogosin

doi:10.1098/rspa.2014.0109

An asymptotic method of factorization of a class of matrix-functions

Gennady Mishuris, Sergei Rogosin

Department of Physics

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Abstract

A novel method of asymptotic factorization of $n \times n$ matrix functions is proposed. Considered class of matrices is motivated by certain problems originated in the elasticity theory. An example is constructed to illustrate effectiveness of the proposed procedure. Further applications of the method is discussed.

Original language	English
Article number	20140109
Pages (from-to)	1-15
Number of pages	15
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	470
Issue number	2166
Early online date	16 Apr 2014
DOIs	https://doi.org/10.1098/rspa.2014.0109
Publication status	Published - 08 Jun 2014

Keywords

factorization of matrix functions
asymptotic method
non-rational matrices
WIENER-HOPF FACTORIZATION
EXPLICIT FACTORIZATION
KERNELS
CRACK

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abstract = "A novel method of asymptotic factorization of $n \times n$ matrix functions is proposed. Considered class of matrices is motivated by certain problems originated in the elasticity theory. An example is constructed to illustrate effectiveness of the proposed procedure. Further applications of the method is discussed.",

keywords = "factorization of matrix functions, asymptotic method, non-rational matrices, WIENER-HOPF FACTORIZATION, EXPLICIT FACTORIZATION, KERNELS, CRACK",

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An asymptotic method of factorization of a class of matrix-functions

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Gennady Mishuris

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An asymptotic method of factorization of a class of matrix-functions

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Gennady Mishuris

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