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

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

358 Downloads (Pure)

Abstract

A novel method of asymptotic factorization of n × n matrix functions is proposed. The considered class of matrices is motivated by certain problems originated from the elasticity theory. An example is constructed to illustrate efficiency of the proposed procedure. The quality of approximation and the role of the chosen small parameter are 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

Asymptotic method
Factorization of matrix functions
Non-rational matrices

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abstract = "A novel method of asymptotic factorization of n × n matrix functions is proposed. The considered class of matrices is motivated by certain problems originated from the elasticity theory. An example is constructed to illustrate efficiency of the proposed procedure. The quality of approximation and the role of the chosen small parameter are discussed.",

keywords = "Asymptotic method, Factorization of matrix functions, Non-rational matrices",

author = "Gennady Mishuris and Sergei Rogosin",

note = "Mishuris, G., Rogosin, S. (2014). An asymptotic method of factorization of a class of matrix-functions. Proceedings of the Royal Society A: Mathematical, Physical \& Engineering Sciences, 470 (2166), [20140109]",

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KW - Factorization of matrix functions

KW - Non-rational matrices

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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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Keywords

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Gennady Mishuris

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