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

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 $\{1,-1\}$, $\{0,0\}$ and $\{-1,-1\}$.