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

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.

This paper has been withdrawn by the author

References in corpus (1)

• Primitive tensors and convergence of an iterative process for the eigenvalues of a primitive tensor

Cited by in corpus (2)

• On some properties of nonnegative weakly irreducible tensors
• The Spectral Theory of Tensors (Rough Version)