316 citations · 903 across the 32 of their papers we have counts for
6 papers · 1 filter
Finding the maximum eigenvalue of a class of tensors with applications in copositivity test and hypergraphs
Haibin Chen, Yannan Chen, Guoyin Li +1
Finding the maximum eigenvalue of a symmetric tensor is an important topic in tensor computation and numerical multilinear algebra. This paper is devoted to a semi-definite program…
Convergence rate analysis for averaged fixed point iterations in the presence of Hölder regularity
Jonathan M. Borwein, Guoyin Li, Matthew K. Tam
In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are achieved under a bounded…
Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates
G. Li, B. S. Mordukhovich, T. T. A. Nghia +1
The paper addresses parametric inequality systems described by polynomial functions in finite dimensions, where state-dependent infinite parameter sets are given by finitely many p…
Peaceman-Rachford splitting for a class of nonconvex optimization problems
Guoyin Li, Tianxiang Liu, Ting Kei Pong
We study the applicability of the Peaceman-Rachford (PR) splitting method for solving nonconvex optimization problems. When applied to minimizing the sum of a strongly convex Lipsc…
Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems
V. Jeyakumar, J. B. Lasserre, G. Li +1
In this paper, we consider a bilevel polynomial optimization problem where the objective and the constraint functions of both the upper and the lower level problems are polynomials…
Further Results on Cauchy Tensors and Hankel Tensors
Haibin Chen, Guoyin Li, Liqun Qi
In this article, we present various new results on Cauchy tensors and Hankel tensors. { We first introduce the concept of generalized Cauchy tensors which extends Cauchy tensors in…