Some results on $l^k$-eigenvalues of tensor and related spectral radius

Chen Ling; Liqun Qi

doi:10.3934/naco.2011.1.381

Article Contents

2011, Volume 1, Issue 3: 381-388. Doi: 10.3934/naco.2011.1.381

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Some results on $l^k$-eigenvalues of tensor and related spectral radius

Chen Ling^1, and
Liqun Qi^2,

1.
School of Science, Hangzhou Dianzi University, Hangzhou, 310018
2.
Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong

Received: March 31, 2011

Revised: June 30, 2011

Published: August 2011

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Abstract

In this paper, we study the $l^k$-eigenvalues/vectors of a real symmetric square tensor. Specially, we investigate some properties on the related $l^k$-spectral radius of a real nonnegative symmetric square tensor.

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Mathematics Subject Classification: Primary: 15A18, 15A69; Secondary: 90C30.

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