Guoyin Li

Global Convergence of Splitting Methods for Nonconvex Composite Optimization

We consider the problem of minimizing the sum of a smooth function

The Z-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory

h

Strong Duality in Robust Convex Programming: Complete Characterizations

with a bounded Hessian, and a nonsmooth function. We assume that the latter function is a composition of a proper closed function

New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems

P

Alternative Theorems for Quadratic Inequality Systems and Global Quadratic Optimization

and a surjective linear map

Robust solutions to multi-objective linear programs with uncertain data

\cal M

Hölder Metric Subregularity with Applications to Proximal Point Method

, with the proximal mappings of

Error Bounds of Generalized D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems

\tau P

Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems

,

A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs

\tau > 0