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}.