English

Stability Analysis of Matrix Wiener--Hopf Factorisation of Daniele--Khrapkov Class and Reliable Approximate Factorisation

Complex Variables 2015-04-07 v1

Abstract

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

Keywords

Cite

@article{arxiv.1504.01108,
  title  = {Stability Analysis of Matrix Wiener--Hopf Factorisation of Daniele--Khrapkov Class and Reliable Approximate Factorisation},
  author = {Anastasia V. Kisil},
  journal= {arXiv preprint arXiv:1504.01108},
  year   = {2015}
}