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

Abstract

An algorithm for finding the eigenvalue of a nonnegative irreducible tensor was recently proposed by Michael Ng, Liqun Qi, and Guanglu Zhou in {\it Finding the largest eigenvalue of a nonnegative tensor}. However, the authors did not prove the proposed algorithm converges. In this paper, primitive tensors are defined and the algorithm is shown to converge for primitive tensors.

This paper has been withdrawn by the author

Cited by in corpus (4)

• On some properties of nonnegative weakly irreducible tensors
• A note on the geometric simplicity of the spectral radius of nonnegative irreducible tensors
• New result and some open problems on the primitive degree of nonnegative tensors
• A conjecture on the primitive degree of Tensors