期刊
LINEAR & MULTILINEAR ALGEBRA
卷 64, 期 4, 页码 587-601出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081087.2015.1049582
关键词
tensor eigenvalue; localization set; positive definite; positive semi-definite
类别
资金
- National Natural Science Foundations of China [11361074]
- Natural Science Foundations of Yunnan Province [2013FD002]
A new eigenvalue localization set for tensors is given, and proved to be tighter than those in [Qi L. Eigenvalues of a real supersymmetric tensor. J. Symbolic Comput. 2005;40:1302-1324] and [Li CQ, Li YT, Kong X. New eigenvalue inclusion sets for tensors. Numer. Linear Algebra Appl. 2014;21:39-50]. Based on this set, we give two checkable sufficient conditions of the positive definiteness of tensors, and two checkable sufficient conditions of the positive semi-definiteness of tensors.
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