A note on the geometric simplicity of the spectral radius of nonnegative irreducible tensors

2011/01/13 by Yuning Yang, Yang, Yuning, Qingzhi Yang +1
Mathematics · #15A18 #15A69 #74B99 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:15A18 #msc:15A69 #msc:74B99

paper · pdf · doi:10.48550/arxiv.1101.2479

This paper has been withdrawn by the author

arxiv created 2012/03/13 · arxiv updated 2012/03/14

Abstract

We prove that the spectral radius of even order nonnegative irreducible tensors is real geometrically simple. In the case when the order of the tensor is odd, or in the complex field, some conditions are given to guarantee the geometric simplicity of the spectral radius.

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