On eigenvalue problems of real symmetric tensors

被引：147

作者：

Chang, K. C. ^{[1
]}

Pearson, Kelly ^{[2
]}

Zhang, Tan ^{[2
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Murray State Univ, Dept Math & Stat, Murray, KY 42071 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 350卷 / 01期

关键词：

Numerical multilinear algebra; Higher order tensor;

D O I：

10.1016/j.jmaa.2008.09.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use variational methods to give a positive answer to a conjecture posed by Liqun Qi [L Qi, Eigenvalues of a real supersymmetric tensor, J. Symbolic Comput. 40 (2005) 1302-1324] regarding the real eigenvalues of certain higher order tensors. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：416 / 422

页数：7

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