On Nonnegative Solution of Multi-Linear System with Strong M_(z)-Tensors

作     者：Changxin Mo Yimin Wei 

作者机构：School of Mathematical SciencesFudan UniversityShanghai 200433P.R.of China School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied MathematicsFudan UniversityShanghai 200433P.R.of China 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2021年第14卷第1期

页      面：176-193页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：C.Mo is supported in part by Promotion Program of Excellent Doctoral Research,Fudan University(SSH6281011/001) Y.Wei is supported by National Natural Science Foundations of China under grant 11771099 Innovation Program of Shanghai Mu-nicipal Education Commission 

主　　题：M_(z)-tensor multi-linear system nonnegative solution M-tensor tensor equation fixed point theory 

摘      要：A class of structured multi-linear system defined by strong M_(z)-tensors is *** prove that the multi-linear system with strong M_(z)-tensors always has a nonnegative solution under certain condition by the fixed point *** also prove that the zero solution is the only solution of the homogeneous multi-linear system for some structured tensors,such as strong M-tensors,H^(+)-tensors,strictly diagonally dominant tensors with positive diagonal *** examples are presented to illustrate our theoretical results.