Title of Paper:Local convergence analysis of inverse iteration algorithm for computing the H-spectral radius of a nonnegative weakly irreducible tensor

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Affiliation of Author(s):理学院

Journal:J. Comput. Appl. Math.

Abstract:In this paper, we present an inverse iteration algorithm, to find the H-spectral radius and the associated positive eigenvector of a nonnegative weakly irreducible tensor, which always preserve the positivity of approximate eigenvectors. The local quadratical convergence of the proposed algorithm is established based on a basic result of the Newton's method for solving nonlinear equations. Some numerical examples illustrate the efficiency of the proposed algorithm. © 2019 Elsevier B.V.

ISSN No.:0377-0427

Translation or Not:no

Date of Publication:2019-09-01

Co-author:Sheng, Zhou,Yuan, Gonglin

Correspondence Author:nq