By Professor Guoyin Li

Journal articles

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

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

Pham TN; Dao MN; Shah R; Sultanova N; Li G; Islam S, 2022, A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems, http://dx.doi.org/10.48550/arxiv.2208.12432

Zeng L; Zhang Y; Li G; Pong TK; Wang X, 2021, Frank-Wolfe-type methods for a class of nonconvex inequality-constrained problems, http://dx.doi.org/10.48550/arxiv.2112.14404

Zhang Y; Li G; Pong TK; Xu S, 2021, 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

Boţ RI; Dao MN; Li G, 2020, Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems, http://dx.doi.org/10.48550/arxiv.2011.09782

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

Boţ RI; Dao MN; Li G, 2020, Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs, http://dx.doi.org/10.48550/arxiv.2003.04124

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

Yu P; Li G; Pong TK, 2019, Kurdyka-Łojasiewicz exponent via inf-projection, http://dx.doi.org/10.48550/arxiv.1902.03635

Bello-Cruz Y; Li G; Nghia TTA, 2018, On the Q-linear convergence of forward-backward splitting method and uniqueness of optimal solution to Lasso, http://dx.doi.org/10.48550/arxiv.1806.06333

Chuong TD; Jeyakumar V; Li G, 2017, A Bounded Degree Lasserre Hierarchy with SOCP Relaxations for Global Polynomial Optimization and Applications, http://dx.doi.org/10.48550/arxiv.1710.06598

Bomze IM; Jeyakumar V; Li G, 2017, Extended Trust-Region Problems with One or Two Balls: Exact Copositive and Lagrangian Relaxations, http://dx.doi.org/10.48550/arxiv.1702.08113

Li G; Pong TK, 2016, 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

Borwein JM; Li G; Tam MK, 2015, Convergence rate analysis for averaged fixed point iterations in the presence of Hölder regularity, http://dx.doi.org/10.48550/arxiv.1510.06823

Li G; Mordukhovich BS; Nghia TTA; Pham TS, 2015, Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates, http://dx.doi.org/10.48550/arxiv.1509.03742

Li G; Liu T; Pong TK, 2015, Peaceman-Rachford splitting for a class of nonconvex optimization problems, http://dx.doi.org/10.48550/arxiv.1507.00887

Li G; Pong TK, 2014, Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems, http://dx.doi.org/10.48550/arxiv.1409.8444

Li G; Pong TK, 2014, Global convergence of splitting methods for nonconvex composite optimization, http://dx.doi.org/10.48550/arxiv.1407.0753

Jeyakumar V; Li G; Vicente-Perez J, 2013, Robust SOS-Convex Polynomial Programs: Exact SDP Relaxations, http://dx.doi.org/10.48550/arxiv.1307.5386

Borwein JM; Li G; Yao L, 2013, Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets, http://dx.doi.org/10.48550/arxiv.1304.7965

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