316 citations · 903 across the 32 of their papers we have counts for
4 papers · 2 filters
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…