Title of Paper:A cubically convergent method for solving the largest eigenvalue of a nonnegative irreducible tensor

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Affiliation of Author(s):理学院

Journal:NUMERICAL ALGORITHMS

Key Words:Cubic convergence Tensor eigenvalue Nonnegative irreducible tensor Chebyshev's method

Abstract:In this paper, we present a cubically convergent method for finding the largest eigenvalue of a nonnegative irreducible tensor. A cubically convergent method is used to solve an equivalent system of nonlinear equations which is transformed by the tensor eigenvalue problem. Due to particular structure of tensor, Chebyshev's direction is added to the method with a few extra computation. Two rules are designed such that the descendant property of the search directions is ensured. The global convergence is proved by using the line search technique. Numerical results indicate that the proposed method is competitive and efficient on some test problems.

ISSN No.:1017-1398

Translation or Not:no

Date of Publication:2018-04-01

Co-author:杨维维

Correspondence Author:nq