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

摘要

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}.