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

作者：Kisil Anastasia V^*

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2015, 471(2178): 20150146.

DOI：10.1098/rspa.2015.0146

• Wiener-Hopf
• Daniele-Khrapkov
• Riemann-Hilbert
• rational approximation

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}.

• 出版日期2015-6-8