Stability analysis of matrix Wiener-Hopf factorization of Daniele-Khrapkov class and reliable approximate factorization
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Authors
Kisil, AV
Abstract
jats:pThis 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}.</jats:p>
Description
Keywords
Wiener–Hopf, Daniele–Khrapkov, Riemann–Hilbert, rational approximation
Journal Title
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Conference Name
Journal ISSN
1364-5021
1471-2946
1471-2946
Volume Title
471
Publisher
The Royal Society
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/H023348/1)
This work was supported by the UK Engineering and Physical Sciences Research Council
(EPSRC) grant no. EP/H023348/1 for the University of Cambridge Centre for Doctoral Training, the Cambridge Centre for Analysis.