Spectral projected gradient methods for generalized tensor eigenvalue complementarity problem

Abstract

This paper looks at the tensor eigenvalue complementarity problem (TEiCP) which arises from the stability analysis of finite dimensional mechanical systems and is closely related to the optimality conditions for polynomial optimization. We investigate two monotone ascent spectral projected gradient (SPG) methods for TEiCP. We also present a shifted scaling-and-projection algorithm (SPA), which is a great improvement of the original SPA method proposed by Ling, He and Qi [Comput. Optim. Appl., DOI 10.1007/s10589-015-9767-z]. Numerical comparisons with some existed gradient methods in the literature are reported to illustrate the efficiency of the proposed methods.

arXiv admin note: text overlap with arXiv:1601.01399

References in corpus (7)

• Properties of Solution set of Tensor Complementarity Problem
• Z-tensors and complementarity problems
• P-Tensors, P${}_0$-Tensors, and Tensor Complementarity Problem
• The Sparsest Solutions to $Z$-Tensor Complementarity Problems
• Positive Definite Tensors to Nonlinear Complementarity Problems
• Global Uniqueness and Solvability for Tensor Complementarity Problems
• Exceptionally Regular Tensors and Tensor Complementarity Problems

Cited by in corpus (1)

• A class of second-order cone eigenvalue complementarity problems for higher-order tensors