English

Factorization of a class of matrix-functions with stable partial indices

Complex Variables 2016-08-24 v2 Functional Analysis

Abstract

A new effective method for factorization of a class of nonrational n×nn\times n matrix-functions with \emph{stable partial indices} is proposed. The method is a generalization of the one recently proposed by the authors which was valid for the canonical factorization only. The class of considered matrices is motivated by problems originated from applications. The properties and details of the asymptotic procedure are illustrated by examples. The efficiency of the procedure is highlighted by numerical results.

Keywords

Cite

@article{arxiv.1501.02692,
  title  = {Factorization of a class of matrix-functions with stable partial indices},
  author = {Gennady Mishuris and Sergei Rogosin},
  journal= {arXiv preprint arXiv:1501.02692},
  year   = {2016}
}

Comments

22 pages, 7 figures. arXiv admin note: text overlap with arXiv:1402.2120

R2 v1 2026-06-22T07:58:32.066Z