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

Abstract

A new effective method for factorization of a class of nonrational $n\times n$ 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.

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

References in corpus (3)

• Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack
• An asymptotic method of factorization of a class of matrix-functions
• Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation

Cited by in corpus (3)

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