Minimal Gersgorin tensor eigenvalue inclusion set and its numerical approximation

2015/06/04 by Chaoqian Li, Li, Chaoqian, Yaotang Li +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1506.01471

openalex publication_date 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For a complex tensor A, Minimal Gersgorin tensor eigenvalue inclusion set of A is presented, and its sufficient and necessary condition is given. Furthermore, we study its boundary by the spectrums of the equimodular set and the extended equimodular set for A. Lastly, for an irreducible tensor, a numerical approximation to Minimal Gersgorin tensor eigenvalue inclusion set is given.

Citations

• Perron–Frobenius theorem for nonnegative multilinear forms and extensions

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