Tensor Methods for Solving Symmetric -tensor Systems

被引：1

作者：

Xie, Ze-Jia ^{[1
]}

Jin, Xiao-Qing ^{[1
]}

Wei, Yi-Min ^{[2
,3
]}

机构：

[1] Univ Macau, Dept Math, Taipa, Macao, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

[3] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2018年 / 74卷 / 01期

关键词：

Tensor system; Polynomial systems; Tensor method; Newton method; M-tensor; MULTILINEAR SYSTEMS;

D O I：

10.1007/s10915-017-0444-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Tensor systems involving tensor-vector products (or polynomial systems) are considered. We solve these tensor systems, especially focusing on symmetric -tensor systems, by some tensor methods. A new tensor method is proposed based on the rank-1 approximation of the coefficient tensor. Numerical examples show that the tensor methods could be more efficient than the Newton method for some -tensor systems.

引用

页码：412 / 425

页数：14

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