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Local convergence analysis of inverse iteration algorithm for computing the radius of a tensor

2019-10-11 14:30

报告人: 倪勤

报告人单位: 南京航空航天大学

时间: 2019-10-11 14:30-17:30

地点: 卫津路校区14-202

开始时间: 14:30

报告人简介: 教授

年: 2019

日月: 10.11

In this talk, 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.

Add:Building 58, The School of Mathematics, Tianjin University Beiyangyuan Campus,

No. 135, Ya Guan Road, Jinnan District, Tianjin, PRC

Tel:022-60787827 Mail:math@tju.edu.cn