Stability analysis of matrix Wiener-Hopf factorization of Daniele-Khrapkov class and reliable approximate factorization

Anastasia V. Kisil

doi:10.1098/rspa.2015.0146

Stability analysis of matrix Wiener-Hopf factorization of Daniele-Khrapkov class and reliable approximate factorization

Anastasia V. Kisil

Applied Mathematics

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

Abstract

This paper presents new stability results for matrix Wiener–Hopf factorization. The first part of the paper examines conditions for stability of Wiener–Hopf factorization in the Daniele–Khrapkov class. The second part of the paper concerns the class of matrix functions which can be exactly or approximately reduced to the factorization of the Daniele–Khrapkov matrices. The results of the paper are demonstrated by numerical examples with partial indices {1,−1}, {0,0} and {−1,−1}.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	471
Issue number	2178
DOIs	https://doi.org/10.1098/rspa.2015.0146
Publication status	Published - 8 Jun 2015

Keywords

Wiener–Hopf
Daniele–Khrapkov
Riemann–Hilbert
rational approximation

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10.1098/rspa.2015.0146

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title = "Stability analysis of matrix Wiener-Hopf factorization of Daniele-Khrapkov class and reliable approximate factorization",

abstract = "This paper presents new stability results for matrix Wiener–Hopf factorization. The first part of the paper examines conditions for stability of Wiener–Hopf factorization in the Daniele–Khrapkov class. The second part of the paper concerns the class of matrix functions which can be exactly or approximately reduced to the factorization of the Daniele–Khrapkov matrices. The results of the paper are demonstrated by numerical examples with partial indices {1,−1}, {0,0} and {−1,−1}.",

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N2 - This paper presents new stability results for matrix Wiener–Hopf factorization. The first part of the paper examines conditions for stability of Wiener–Hopf factorization in the Daniele–Khrapkov class. The second part of the paper concerns the class of matrix functions which can be exactly or approximately reduced to the factorization of the Daniele–Khrapkov matrices. The results of the paper are demonstrated by numerical examples with partial indices {1,−1}, {0,0} and {−1,−1}.

AB - This paper presents new stability results for matrix Wiener–Hopf factorization. The first part of the paper examines conditions for stability of Wiener–Hopf factorization in the Daniele–Khrapkov class. The second part of the paper concerns the class of matrix functions which can be exactly or approximately reduced to the factorization of the Daniele–Khrapkov matrices. The results of the paper are demonstrated by numerical examples with partial indices {1,−1}, {0,0} and {−1,−1}.

KW - Wiener–Hopf

KW - Daniele–Khrapkov

KW - Riemann–Hilbert

KW - rational approximation

U2 - 10.1098/rspa.2015.0146

DO - 10.1098/rspa.2015.0146

M3 - Article

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VL - 471

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2178

ER -

Stability analysis of matrix Wiener-Hopf factorization of Daniele-Khrapkov class and reliable approximate factorization

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Keywords

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