By Professor Guoyin Li

Journal articles

Jeyakumar V; Li G, 2012, 'Exact SDP relaxations for classes of nonlinear semidefinite programming problems', Operations Research Letters, 40, pp. 529 - 536, http://dx.doi.org/10.1016/j.orl.2012.09.006

Li G, 2012, 'Global Quadratic Minimization over Bivalent Constraints: Necessary and Sufficient Global Optimality Condition', Journal of Optimization Theory and Applications, 152, pp. 710 - 726, http://dx.doi.org/10.1007/s10957-011-9930-3

Li G; Mordukhovich B, 2012, 'Hölder Metric Subregularity with Applications to Proximal Point Method', SIAM Journal on Optimization, 22, pp. 1655 - 1684, http://dx.doi.org/10.1137/120864660

Jeyakumar V; Wang J; Li G, 2012, 'Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty', Journal of Mathematical Analysis and Applications, 393, pp. 285 - 297, http://dx.doi.org/10.1016/j.jmaa.2012.03.037

Jeyakumar V; Li G; Lee GM, 2012, 'Robust duality for generalized convex programming prolems under data uncertainty', Nonlinear Analysis - Theory Methods and Applications, 75, pp. 1362 - 1373, http://dx.doi.org/10.1016/j.na.2011.04.006

Jeyakumar V; Li G, 2012, 'Strong duality in robust semi-definite linear programming under data uncertainty', Optimization, http://dx.doi.org/10.1080/02331934.2012.690760

Jeyakumar V; Li G; Suthaharan S, 2012, 'Support vector machine classifiers with uncertain knowledge sets via robust optimization', Optimization, http://dx.doi.org/10.1080/02331934.2012.703667

Tang CM; Jian JB; Li GY, 2011, 'A working set SQCQP algorithm with simple nonmonotone penalty parameters', Journal of Computational and Applied Mathematics, 236, pp. 1382 - 1398, http://dx.doi.org/10.1016/j.cam.2011.09.002

Li G, 2011, 'A note on nonconvex minimax theorem with separable homogeneous polynomials', Journal of Optimization Theory and Applications, 150, pp. 194 - 203, http://dx.doi.org/10.1007/s10957-011-9827-1

Jeyakumar V; Li G; Lee GM, 2011, 'A robust Von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty', Operations Research Letters, 39, pp. 109 - 114, http://dx.doi.org/10.1016/j.orl.2011.02.007

Jeyakumar V; Li G, 2011, 'Necessary global optimality conditions for nonlinear programming problems with polynomial constraints', Mathematical Programming, 126, pp. 393 - 399, http://dx.doi.org/10.1007/s10107-009-0283-8

Jeyakumar V; Li G, 2011, 'Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems', Journal of Global Optimization, 49, pp. 1 - 14, http://dx.doi.org/10.1007/s10898-009-9518-8

Li G; Jeyakumar V; Lee G, 2011, 'Robust conjugate duality for convex optimization under uncertainty with application to data classification', Nonlinear Analysis - Theory Methods and Applications, 74, pp. 2327 - 2341, http://dx.doi.org/10.1016/j.na.2010.11.036

Jeyakumar V; Li G, 2011, 'Robust duality for fractional programming problems with constraint-wise data uncertainty', Journal of Optimization Theory and Applications, 151, pp. 292 - 303, http://dx.doi.org/10.1007/s10957-011-9896-1

Jeyakumar V; Li G, 2011, 'Robust Farkas’ lemma for uncertain linear systems with applications', Positivity, 15, pp. 331 - 342, http://dx.doi.org/10.1007/s11117-010-0078-4

Jeyakumar V; Li G, 2010, 'Characterizing robust set containments and solutions of uncertain linear programs without qualifications', Operations Research Letters, 38, pp. 188 - 194, http://dx.doi.org/10.1016/j.orl.2009.12.004

Li G; Tang C; Wei Z, 2010, 'Error bound results for generalized D-gap functions of nonsmooth variational inequality problems', Journal of Computational and Applied Mathematics, 233, pp. 2795 - 2806, http://dx.doi.org/10.1016/j.cam.2009.11.025

Jeyakumar V; Li G, 2010, 'New strong duality results for convex programs with separable constraints', European Journal of Operational Research, 207, pp. 1203 - 1209

Li G, 2010, 'On the asymptotically well behaved functions and global error bound for convex polynomials', SIAM Journal on Optimization, 20, pp. 1923 - 1943, http://dx.doi.org/10.1137/080733668

Jeyakumar V; Li G, 2010, 'Strong duality in robust convex programming: complete characterizations', SIAM Journal on Optimization, 20, pp. 3384 - 3407

Li G; Ng KF, 2009, 'Error bounds of generalized D-gap functions for nonsmooth and nonmonotone variational inequality problems', SIAM Journal on Optimization, 20, pp. 667 - 690, http://dx.doi.org/10.1137/070696283

Jeyakumar V; Lee GM; Li G, 2009, 'Alternative theorems for quadratic inequality systems and global quadratic optimization', SIAM Journal on Optimization, 20, pp. 983 - 1001

Jeyakumar V; Li G, 2009, 'Farkas' lemma for separable sublinear inequalities without qualifications', Optimization Letters, 3, pp. 537 - 545, http://dx.doi.org/10.1007/s11590-009-0133-x

Jeyakumar V; Li G; Huy N, 2009, 'Necessary and sufficient conditions for S-lemma and nonconvex quadratic optimization', Optimization and Engineering, 10, pp. 491 - 503

Jeyakumar V; Li G, 2009, 'New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs', Nonlinear Analysis - Theory Methods and Applications, 71, pp. e2239 - e2249

Jeyakumar V; Li G, 2009, 'Qualification-free optimality conditions for convex programs with separable inequality constraints', Journal of Convex Analysis, 16, pp. 845 - 856

Jeyakumar V; Li G, 2009, 'Stable zero duality gaps in convex programming: Complete dual characterisations with applications to semidefinite programs', Journal of Mathematical Analysis and Applications, 360, pp. 156 - 167

Yu G; Guan L; Li G, 2008, 'Global convergence of modified Polak-Ribière-Polyak conjugate gradient methods with sufficient descent property', Journal of Industrial and Management Optimization, 4, pp. 565 - 579, http://dx.doi.org/10.3934/jimo.2008.4.565

Wei ZX; Li G; Qi LQ, 2008, 'Global convergence of the Polak-Ribiere- Polyak conjugate gradient method with inexact line searches for nonconvex unconstrained optimization problems, Mathematics of Computation', Mathematics of Computation, 77, pp. 2173 - 2193, http://dx.doi.org/10.1090/S0025-5718-08-02031-0

Li G; Tang C; Yu G; Wei Z, 2008, 'On a Separation Principle for Nonconvex Sets', Set - Valued Analysis, 16, pp. 851 - 860, http://dx.doi.org/10.1007/s11228-008-0099-3

Li G; Ng KF, 2008, 'On Extension of Fenchel Duality and its Application', SIAM Journal on Optimization, 19, pp. 1489 - 1509, http://dx.doi.org/10.1137/080716803

Wei ZX; Tang C; Li G, 2007, 'A new version of the Liu-Storey conjugate gradient method', Applied Mathematics and Computation, 189, pp. 302 - 313, http://dx.doi.org/10.1016/j.amc.2006.11.098

Li G; Tang C; Wei ZX, 2007, 'New conjugacy condition and related new conjugate gradient methods for unconstrained optimization', Journal of Computational and Applied Mathematics, 202, pp. 523 - 539, http://dx.doi.org/10.1016/j.cam.2006.03.005

Li G; Ng KF; Zheng XY, 2007, 'Unified approach to some geometric results in variational analysis', Journal of Functional Analysis, 248, pp. 317 - 343, http://dx.doi.org/10.1016/j.jfa.2007.04.001

Wei ZX; Li G; Qi LQ, 2006, 'New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems', Applied Mathematics and Computation, 179, pp. 407 - 430, http://dx.doi.org/10.1016/j.amc.2005.11.150

Wei ZX; Li G; Qi LQ, 2006, 'New quasi-Newton methods for unconstrained optimization problems', Applied Mathematics and Computation, 175, pp. 1156 - 1188, http://dx.doi.org/10.1016/j.amc.2005.08.027

Conference Papers

Feng J; Wu D; Gao W; Li G, 2017, 'Non-deterministic free vibration analysis of structures with random and fuzzy parameters', in ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), Tampa, Florida, USA, presented at ASME 2017 International Mechanical Engineering Congress and Exposition, Tampa, Florida, USA, 03 November 2017 - 09 November 2017, http://dx.doi.org/10.1115/IMECE2017-71059

Feng J; Wu D; Gao W; Li G, 2017, 'Hybrid random and fuzzy analysis of structural response using mathematical programming approach', in 9th Australasian Congress on Applied Mechanics Acam 2017

Gao W; Feng J; Wu D; Li G; Wu D, 2016, 'Unified stochastic and non-stochastic free vibration analysis of structure', in Hao H; Zhang C (ed.), Mechanics of Structures and Materials: Advancements and Challenges, CRC PRESS / BALKEMA, Perth, Australia, pp. 1809 - 1814, presented at The 24th Australasian Conference on the Mechanics of Structures and Materials, Perth, Australia, 06 December 2016 - 09 December 2016, http://dx.doi.org/10.26190/unsworks/26237

Preprints

Dizon ND; Huang QY; Chuong TD; Li G; Jeyakumar V, 2026, Convergent Lifted Lasserre Hierarchy of SDPs for Minimizing Expectation of Piecewise Polynomial Loss over Wasserstein Balls, http://dx.doi.org/10.48550/arxiv.2602.20660

Dizon ND; Caldwell BI; Jeyakumar V; Li G, 2026, Interwoven SDP in Primal-Dual Proximal Splitting Methods for Adjustable Robust Convex Optimisation with SOS-Convex Polynomial Constraints, http://dx.doi.org/10.48550/arxiv.2602.14624

Boţ RI; Li G; Tao M, 2025, A full splitting algorithm for fractional programs with structured numerators and denominators, http://dx.doi.org/10.48550/arxiv.2312.14341

Huang QY; Jeyakumar V; Li G, 2024, Piecewise SOS-Convex Moment Optimization and Applications via Exact Semi-Definite Programs, http://dx.doi.org/10.48550/arxiv.2402.07064

Zeng L; Zhang Y; Li G; Pong TK; Wang X, 2024, Frank-Wolfe-type methods for a class of nonconvex inequality-constrained problems, http://dx.doi.org/10.48550/arxiv.2112.14404

Pham TN; Dao MN; Shah R; Sultanova N; Li G; Islam S, 2023, A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems, http://dx.doi.org/10.48550/arxiv.2208.12432

Zhang Y; Li G; Pong TK; Xu S, 2022, Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints, http://dx.doi.org/10.48550/arxiv.2106.08584

Li G; Pong TK, 2021, Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods, http://dx.doi.org/10.48550/arxiv.1602.02915

Yu P; Li G; Pong TK, 2021, Kurdyka-Łojasiewicz exponent via inf-projection, http://dx.doi.org/10.48550/arxiv.1902.03635

Goberna MA; Jeyakumar V; Li G, 2020, Calculating Radius of Robust Feasibility of Uncertain Linear Conic Programs via Semidefinite Programs, http://dx.doi.org/10.48550/arxiv.2007.07599

Woolnough D; Jeyakumar V; Li G, 2020, Exact Conic Programming Reformulations of Two-Stage Adjustable Robust Linear Programs with New Quadratic Decision Rules, http://dx.doi.org/10.48550/arxiv.2002.05223

Back to profile page