By Professor Jeya Jeyakumar

Journal articles

Jeyakumar V; Wu Z, 2007, 'A dual criterion for maximal monotonicity of composition operators', Set - Valued Analysis, 15, pp. 265 - 273

Jeyakumar V; Wu ZY, 2007, 'Conditions for global optimality of quadratic minimization problems with LMI constraints', Asia-Pacific Journal of Operational Research, 24, pp. 149 - 160, http://dx.doi.org/10.1142/S021759590700119X

Jeyakumar V; Rubinov A; Wu ZY, 2007, 'Generalized Fenchel`s conjugation formulas and duality for abstract convex functions', Journal of Optimization Theory and Applications, 132, pp. 441 - 458

Jeyakumar V; Huy N, 2007, 'Global minimization of difference of quadratic and convex functions over box or binary constraints', Optimization Letters

Jeyakumar V; Huy N, 2007, 'Global optimality of quadratic minimization over symmetric polytopes', Optimization, 56, pp. 633 - 640

Jeyakumar V; Srisatkunarajah S; Huy N, 2007, 'Kuhn-Tucker sufficiency for global minimum of multi-extremal mathematical programming problems', Journal of Mathematical Analysis and Applications, 335, pp. 779 - 788

Jeyakumar V; Rubinov A; Wu ZY, 2007, 'Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions', Mathematical Programming, 110, pp. 521 - 541

Wu ZY; Jeyakumar V; Rubinov A, 2007, 'Sufficient conditions for global optimality of bivalent non-convex quadratic programs with inequality constraints', Journal of Optimization Theory and Applications, 133, pp. 123 - 130

Jeyakumar V; Wu Z, 2006, 'A qualification free sequential Pshenichnyi-Rockafellar Lemma and convex semidefinite programming', Journal of Convex Analysis, 13, pp. 773 - 784

Jeyakumar V; Thera M; Wu Z, 2006, 'Asymptotic sums of monotone operators', Pacific Journal of Optimization, 2, pp. 591 - 598

Jeyakumar V; Lee GM; Dinh N, 2006, 'Characterizations of solution sets of convex vector minimization problems', European Journal of Operational Research, 174, pp. 1380 - 1395

Goberna MA; Jeyakumar V; Dinh N, 2006, 'Dual characterizations of set containments with strict convex inequalities', Journal of Global Optimization, 34, pp. 33 - 54

Jeyakumar V; Ormerod JT; Womersley RS, 2006, 'Knowledge-based semidefinite linear programming classifiers', Optimization Methods and Software, 21, pp. 693 - 706

Dinh N; Jeyakumar V; Lee G, 2006, 'Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems', Optimization, 55, pp. 241 - 250

Jeyakumar V; Wu ZY; Lee GM; Dinh N, 2006, 'Liberating the subgradient optimality conditions from constraint qualifications', Journal of Global Optimization, 36, pp. 127 - 137

Burachik RS; Jeyakumar V; Wu Z, 2006, 'Necessary and sufficient conditions for stable conjugate duality', Nonlinear Analysis - Theory Methods and Applications, 64, pp. 1998 - 2006

Huy N; Jeyakumar V; Lee G, 2006, 'Sufficient global optimality conditions for multi-extremal smooth minimisation problems with bounds and linear matrix inequality constraints', ANZIAM Journal, 47, pp. 439 - 450

Jeyakumar V; Rubinov A; Wu ZY, 2006, 'Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints', Journal of Global Optimization, 36, pp. 471 - 481

Jeyakumar V, 2006, 'The strong conical hull intersection property for convex programming', Mathematical Programming, 106, pp. 81 - 92, http://dx.doi.org/10.1007/s10107-005-0605-4

Burachik RS; Jeyakumar V, 2005, 'A dual condition for the convex subdifferential sum formula with applications', Journal of Convex Analysis, 12, pp. 279 - 290

Jeyakumar V; Mohebi H, 2005, 'A global approach to nonlinearly constrained best approximation', Numerical Functional Analysis and Optimization, 26, pp. 205 - 227

Burachik RS; Jeyakumar V, 2005, 'A new geometric condition for Fenchel`s duality in infinite dimensional spaces', Mathematical Programming, 104, pp. 229 - 233

Burachik RS; Jeyakumar V, 2005, 'A simple closure condition for the normal cone intersection formula', Proceedings of the American Mathematical Society, 133, pp. 1741 - 1748

Jeyakumar V; Mohebi H, 2005, 'Limiting epsilon-subgradient characterizations of constrained best approximations', Journal of Approximation Theory, 135, pp. 145 - 159

Dinh N; Jeyakumar V; Lee GM, 2005, 'Sequential lagrangian conditions for convex programs with applications to semidefinite programming', Journal of Optimization Theory and Applications, 125, pp. 85 - 112

Jeyakumar V; Lee GM; Dinh N, 2004, 'Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex-programs', Journal of Optimization Theory and Applications, 123, pp. 83 - 103

Jeyakumar V; Yen ND, 2004, 'Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization', Journal of Optimization Theory and Applications, 14, pp. 1106 - 1127

Jeyakumar V, 2003, 'Characterizing set containments involving infinite convex constraints and reverse-convex constraints', SIAM Journal on Optimization, 13, pp. 947 - 959, http://dx.doi.org/10.1137/S1052623402401944

Jeyakumar V; Lee GM; Dinh N, 2003, 'New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs', SIAM JOURNAL ON OPTIMIZATION, 14, pp. 534 - 547, http://dx.doi.org/10.1137/S1052623402417699

Jeyakumar V, 2003, 'Characterizing set containments involving infinite convex constraints', SIAM Journal on Optimization, 13, pp. 947 - 959

Jeyakumar V; Lee GM; Dinh N, 2003, 'New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs', SIAM Journal on Optimization, 14, pp. 534 - 547

Jeyakumar V; Luc DT, 2003, 'Sharp variational conditions for convex composite nonsmooth functions', SIAM Journal on Optimization, 13, pp. 904 - 920

Jeyakumar V; Luc DT, 2002, 'An open mapping theorem using unbounded generalized Jacobians', Nonlinear Analysis - Theory Methods and Applications, 50, pp. 647 - 663

Jeyakumar V; Luc DT; Tinh PN, 2002, 'Convex composite non-Lipschitz programming', Mathematical Programming, 92, pp. 177 - 195

Jeyakumar V; Luc DT, 2002, 'Convex interior mapping theorems for continuous nonsmooth functions and optimization', Journal of Nonlinear and Convex Analysis, 3, pp. 251 - 266

Fischer A; Jeyakumar V; Luc DT, 2001, 'Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems', Journal of Optimization Theory and Applications, 110, pp. 493 - 513

Wang XJ; Jeyakumar V, 2000, 'A sharp Lagrange multiplier rule for nonsmooth mathematical programming problems involving equality constraints', SIAM Journal on Optimization, 10, pp. 1136 - 1148

Jeyakumar V; Nealon MJ, 2000, 'Complete dual characterizations of optimaility for convex semidefinite programming', Canadian Mathematical Society, pp. 165 - 173

Jeyakumar V; Teo KL, 1999, 'Untitled - Preface', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 40, pp. 288 - 288, http://dx.doi.org/10.1017/S0334270000010900

Jeyakumar V; Luc DT, 1999, 'Approximate generalized Hessians and Taylor`s expansions for continuously Gateaux differentiable functions', Nonlinear Analysis - Theory Methods and Applications, 36, pp. 353 - 368, http://dx.doi.org/10.1016/S0362-546X(98)00058-3

Jeyakumar V; Yang XQ, 1999, 'Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with C1-data', Journal of Australian Mathematical Society B, pp. 403 - 420

Glover BM; Rubinov A; Jeyakumar V, 1999, 'Dual conditions characterizing optimality for convex multi-objective programs', Mathematical Programming, pp. 201 - 217

Jeyakumar V; Luc TD, 1999, 'Nonsmooth calculus, minimality, and monotonicity of convexificators 1,2', Journal of Optimization Theory and Applications, 101, pp. 599 - 621

Jeyakumar V; Luc DT, 1998, 'Approximate Jacobian matrices for nonsmooth continuous maps and C1-optimization', SIAM Journal on Control and Optimization, pp. 1815 - 1832

Jeyakumar V; Luc DT; Schaible S, 1998, 'Characterizations of generalized monotone nonsmooth continuous maps using approximate Jocobians', Journal of Convex Analysis, pp. 119 - 132

Jeyakumar V, 1997, 'Asymptotic dual conditions characterizing optimality for infinite convex programs', Journal of Optimization Theory and Applications, pp. 153 - 165

Yang XQ; Jeyakumar V, 1997, 'First and second order optimality conditions for convex composite multiobjective optimization', Journal of Optimization Theory and Applications, 95, pp. 209 - 224, http://dx.doi.org/10.1023/A:1022695714596

Demyanov VF; Jeyakumar V, 1997, 'Hunting for a smaller convex subdifferential', Journal of Global Optimization, 10, pp. 305 - 326

Jeyakumar V; Zaffaroni A, 1996, 'Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization', Numerical Functional Analysis and Optimization, 17, pp. 323 - 343, http://dx.doi.org/10.1080/01630569608816697

Jeyakumar V; Glover BM, 1996, 'Characterizing global optimality for DC optimization problems under convex inequality constraints', Journal of Global Optimization, 8, pp. 171 - 187, http://dx.doi.org/10.1007/BF00138691

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