Locally Optimal Eigenvectors of Regular Simplex Tensors
Optimization and Control
2024-02-20 v2 Statistics Theory
Statistics Theory
Abstract
Identifying locally optimal solutions is an important issue given an optimization model. In this paper, we focus on a special class of symmetric tensors termed regular simplex tensors, which is a newly-emerging concept, and investigate its local optimality of the related constrained nonconvex optimization model. This is proceeded by checking the first-order and second-order necessary condition sequentially. Some interesting directions concerning the regular simplex tensors, including the robust eigenpairs checking and other potential issues, are discussed in the end for future work.
Cite
@article{arxiv.2303.00274,
title = {Locally Optimal Eigenvectors of Regular Simplex Tensors},
author = {Lei Wang},
journal= {arXiv preprint arXiv:2303.00274},
year = {2024}
}