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

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

2011-01-13

arxiv.org/abs/1101.2479v2

Mathematics

Spectral Theory

This paper has been withdrawn by the author

Scientific paper

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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