The dominant eigenvalue of an essentially nonnegative tensor-Reference-Cited by-同舟云学术

The dominant eigenvalue of an essentially nonnegative tensor

Published:2013-04-08 Issue:6 Volume:20 Page:929-941
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer. Linear Algebra Appl.

Author:

Zhang L. P.¹,Qi L. Q.²,Luo Z. Y.³,Xu Y.²

Affiliation:

1. Department of Mathematical Sciences; Tsinghua University; Beijing China

2. Department of Applied Mathematics; The Hong Kong Polytechnic University; Hung Hom, Kowloon Hong Kong

3. State Key Laboratory of Rail Traffic Control and Safety; Beijing Jiaotong University; Beijing China

Funder

National Natural Science Foundation of China

Hong Kong Research Grant Council

National Basic Research Program of China

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/nla.1880/fullpdf

Reference27 articles.

1. Van Loan CF Future directions in tensor-based computation and modeling NSF Workshop Report in Arlington 2009 http://www.cs.cornell.edu/cv/TenWork/Home.htm

2. Qi L The spectral theory of tensors (rough version), arXiv:1201.3424 [math SP] 17 Jan 2012 http://www.polyu.edu.hk/ama/staff/new/qilq/TensorComp.htm

3. Eigenvalues of a real supersymmetric tensor;Qi;Journal of Symbolic Computation,2005

4. Conditions for strong ellipticity and M-eigenvalues;Qi;Frontiers of Mathematics in China,2009

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