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
收藏
页码：412 / 425
页数：14
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