Edit Profile (opens in new tab) Jeyakumar, Vaithilingam Compute Distance To: Compute Author ID: jeyakumar.vaithilingam Published as: Jeyakumar, V.; Jeyakumar, Vaithilingam Homepage: https://research.unsw.edu.au/people/professor-jeya-jeyakumar External Links: MGP · ORCID · Google Scholar · dblp Documents Indexed: 177 Publications since 1984, including 1 Book 1 Contribution as Editor Co-Authors: 51 Co-Authors with 151 Joint Publications 1,601 Co-Co-Authors all top 5 Co-Authors 21 single-authored 54 Li, Guoyin 22 Lee, Gue Myung 13 Chuong, Thai Doan 10 Wu, Zhiyou 9 Dinh The Luc 9 Goberna, Miguel Angel 9 Rubinov, Alexander M. 9 Srisatkunarajah, Sivakolundu 7 Huy, Nguyen Quang 6 Vicente-Pérez, José 6 Yang, Xiaoqi 5 Gwinner, Joachim 4 Burachik, Regina Sandra 4 Chieu, Nguyen Huy 4 Mohebi, Hossein 4 Oettli, Werner 3 Craven, Bruce Desmond 3 Wang, Jinhua 3 Woolnough, Daniel 2 Ishizuka, Yo 2 Lasserre, Jean-Bernard 2 Lee, Jae Hyoung 2 López-Cerdá, Marco Antonio 2 Phạm Tiên So’n 2 Wang, Xiang 2 Wolkowicz, Henry 1 Bomze, Immanuel M. 1 Boţ, Radu Ioan 1 Brew, Bruce J. 1 Cysique, Lucette A. 1 Demyanov, Vladimir Fedorovich 1 Dunbar, Michelle 1 Jeyakumar, Niroshan 1 Loy, Clement T. 1 Mond, Bertram 1 Mordukhovich, Boris S. 1 Murray, John M. 1 Natividad, Maria Caridad 1 Nealon, Michael J. 1 Ormerod, John T. 1 Schaible, Siegfried 1 Srisatkunrajah, S. 1 Studniarski, Marcin 1 Suthaharan, Shan 1 Théra, Michel A. 1 Tinh, Phan Nhat 1 Tuan, Hoang Duong 1 Vũ Ngoc Phát 1 Weir, Terence 1 Nguyen Dong Yen 1 Zaffaroni, Alberto all top 5 Serials 26 Journal of Optimization Theory and Applications 14 Journal of Global Optimization 12 Mathematical Programming. Series A. Series B 12 SIAM Journal on Optimization 10 Operations Research Letters 10 Optimization 10 European Journal of Operational Research 9 Journal of Convex Analysis 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of Mathematical Analysis and Applications 6 Optimization Letters 4 Pacific Journal of Optimization 4 Nonlinear Analysis. Theory, Methods & Applications 3 Numerical Functional Analysis and Optimization 3 Linear Algebra and its Applications 2 Bulletin of the Australian Mathematical Society 2 Journal of the Australian Mathematical Society, Series B 2 Journal of Approximation Theory 2 Utilitas Mathematica 2 Applied Mathematics Letters 2 Set-Valued Analysis 2 Top 1 Applicable Analysis 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 Mathematics of Operations Research 1 Opsearch 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Asia-Pacific Journal of Operational Research 1 Journal of the Australian Mathematical Society. Series A 1 Zeitschrift für Operations Research. Serie A: Theorie 1 ZOR. Zeitschrift für Operations Research 1 Optimization Methods & Software 1 Positivity 1 Optimization and Engineering 1 RAIRO. Operations Research 1 Journal of Nonlinear and Convex Analysis 1 The ANZIAM Journal 1 Methods of Operations Research 1 Applied Optimization 1 Set-Valued and Variational Analysis 1 Springer Optimization and Its Applications all top 5 Fields 163 Operations research, mathematical programming (90-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 13 Numerical analysis (65-XX) 12 Approximations and expansions (41-XX) 11 Real functions (26-XX) 7 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 167 Publications have been cited 2,934 times in 1,329 Documents Cited by ▼ Year ▼ On generalised convex mathematical programming. Zbl 0773.90061Jeyakumar, V.; Mond, B. 137 1992 Approximate Jacobian matrices for nonsmooth continuous maps and \(C^{1}\)-optimization. Zbl 0923.49012Jeyakumar, V.; Luc, D. T. 85 1998 Nonsmooth calculus, minimality, and monotonicity of convexificators. Zbl 0956.90033Jeyakumar, V.; Luc, D. T. 75 1999 New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Zbl 1046.90059Jeyakumar, V.; Lee, G. M.; Dinh, N. 75 2003 Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075Jeyakumar, V.; Li, G. Y. 69 2010 A class of nonconvex functions and mathematical programming. Zbl 0639.90082Weir, T.; Jeyakumar, V. 66 1988 Strong and weak invexity in mathematical programming. Zbl 0566.90086Jeyakumar, V. 57 1985 A solvability theorem for a class of quasiconvex mappings with applications to optimization. Zbl 0791.46002Jeyakumar, V.; Oettli, W.; Natividad, M. 51 1993 Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 49 2007 Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105Jeyakumar, V.; Li, G. Y. 48 2014 Convexlike alternative theorems and mathematical programming. Zbl 0581.90079Jeyakumar, V. 46 1985 Generalizations of Slater’s constraint qualification for infinite convex programs. Zbl 0771.90078Jeyakumar, V.; Wolkowicz, Henry 46 1992 Nonsmooth vector functions and continuous optimization. Zbl 1138.90002Jeyakumar, V.; Dinh The Luc 46 2008 Characterizing set containments involving infinite convex constraints and reverse-convex constraints. Zbl 1038.90061Jeyakumar, V. 46 2003 Hunting for a smaller convex subdifferential. Zbl 0872.90083Demyanov, V. F.; Jeyakumar, V. 46 1997 A new geometric condition for Fenchel’s duality in infinite dimensional spaces. Zbl 1093.90077Burachik, Regina Sandra; Jeyakumar, Vaithilingam 44 2005 A dual condition for the convex subdifferential sum formula with applications. Zbl 1098.49017Burachik, R. S.; Jeyakumar, V. 43 2005 Convex composite multi-objective nonsmooth programming. Zbl 0789.90068Jeyakumar, V.; Yang, X. Q. 43 1993 On characterizing the solution sets of pseudolinear programs. Zbl 0840.90118Jeyakumar, V.; Yang, X. Q. 43 1995 Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 43 2015 Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315Jeyakumar, V.; Lee, G. M.; Li, G. Y. 41 2009 A generalization of a minimax theorem of Fan via a theorem of the alternative. Zbl 0563.49006Jeyakumar, V. 40 1986 Zero duality gaps in infinite-dimensional programming. Zbl 0687.90077Jeyakumar, V.; Wolkowicz, H. 38 1990 Generalized second-order directional derivatives and optimization with \(C^{1,1}\) functions. Zbl 0814.49012Yang, X. Q.; Jeyakumar, V. 37 1992 Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090Jeyakumar, V.; Lee, G. M.; Dinh, N. 36 2006 Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities. Zbl 1145.90051Goberna, M. A.; Jeyakumar, V.; López, M. A. 36 2008 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 35 2006 Constraint qualifications characterizing Lagrangian duality in convex optimization. Zbl 1194.90069Jeyakumar, V. 34 2008 Inequality systems and global optimization. Zbl 0856.90128Jeyakumar, V.; Rubinov, A. M.; Glover, B. M.; Ishizuka, Y. 34 1996 Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067Jeyakumar, V.; Li, Guoyin 33 2010 Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231Li, G. Y.; Jeyakumar, V.; Lee, G. M. 32 2011 Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs. Zbl 1114.90091Jeyakumar, V.; Lee, G. M.; Dinh, N. 31 2004 Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty. Zbl 1325.90081Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 31 2014 Asymptotic dual conditions characterizing optimality for infinite convex programs. Zbl 0901.90158Jeyakumar, V. 30 1997 Composite nonsmooth programming with Gâteaux differentiability. Zbl 0752.90067Jeyakumar, V. 29 1991 Equivalence of saddle-points and optima, and duality for a class of non- smooth non-convex problems. Zbl 0642.49018Jeyakumar, V. 27 1988 Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074Jeyakumar, V.; Lee, G. M. 27 2008 The strong conical hull intersection property for convex programming. Zbl 1134.90462Jeyakumar, V. 26 2006 Inequality systems and optimization. Zbl 0734.90089Jeyakumar, V.; Gwinner, J. 26 1991 Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A. 26 2013 Necessary and sufficient conditions for stable conjugate duality. Zbl 1091.49031Burachik, R. S.; Jeyakumar, V.; Wu, Z.-Y. 24 2006 A sharp Lagrange multiplier rule for nonsmooth mathematical programming problems involving equality constraints. Zbl 1047.90075Wang, Xiang; Jeyakumar, V. 24 2000 Robust duality in parametric convex optimization. Zbl 1327.90195Boţ, R. I.; Jeyakumar, V.; Li, G. Y. 23 2013 Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136Jeyakumar, V.; Lee, G. M.; Li, G. 23 2015 A simple closure condition for the normal cone intersection formula. Zbl 1065.46055Burachik, Regina Sandra; Jeyakumar, Vaithilingam 22 2005 On optimality conditions in nonsmooth inequality constrained minimization. Zbl 0611.90081Jeyakumar, V. 22 1987 Approximate Hessian matrices and second-order optimality conditions for nonlinear programming problems with \(C^1\)-data. Zbl 0954.90053Jeyakumar, V.; Wang, X. 22 1999 Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154Jeyakumar, V.; Li, G.; Lee, G. M. 21 2012 Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 21 2015 Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin 20 2009 Dual characterizations of set containments with strict convex inequalities. Zbl 1098.90085Goberna, M. A.; Jeyakumar, V.; Dinh, N. 19 2006 Sequential Lagrangian conditions for convex programs with applications to semidefinite programming. Zbl 1114.90083Dinh, N.; Jeyakumar, V.; Lee, G. M. 19 2005 Farkas’ lemma: three decades of generalizations for mathematical optimization. Zbl 1330.90104Dinh, N.; Jeyakumar, V. 19 2014 Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. Zbl 1058.49013Jeyakumar, V.; Yen, N. D. 19 2004 A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006Jeyakumar, V.; Li, G. Y.; Lee, G. M. 18 2011 Complete characterizations of global optimality for problems involving the pointwise minimum of sublinear functions. Zbl 0847.90122Glover, B. M.; Ishizuka, Y.; Jeyakumar, V.; Tuan, H. D. 18 1996 Approximate generalized Hessians and Taylor’s expansions for continuously Gâteaux differentiable functions. Zbl 0931.49011Jeyakumar, V.; Yang, X. Q. 17 1999 Convex composite minimization with \(C^{1,1}\) functions. Zbl 0838.90110Jeyakumar, V.; Yang, X. Q. 17 1995 Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252Jeyakumar, V.; Li, G. Y. 16 2011 Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047Jeyakumar, V.; Li, G. 16 2012 On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208Jeyakumar, V.; Lasserre, J. B.; Li, G. 16 2014 Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014Jeyakumar, V.; Luc, D. T.; Schaible, S. 16 1998 Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N. 15 2006 Duality and infinite dimensional optimization. Zbl 0724.90051Jeyakumar, V. 15 1990 A global approach to nonlinearly constrained best approximation. Zbl 1072.41019Jeyakumar, V.; Mohebi, H. 15 2005 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M. 15 2007 Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126Jeyakumar, V.; Li, G. Y. 14 2011 Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232Jeyakumar, V.; Li, G. 14 2011 Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134Jeyakumar, V.; Li, G. Y. 14 2009 Limiting \(\varepsilon\)-subgradient characterizations of constrained best approximation. Zbl 1138.41304Jeyakumar, V.; Mohebi, H. 14 2005 A general approach to dual characterizations of solvability of inequality systems with applications. Zbl 0840.52001Rubinov, A. M.; Glover, B. M.; Jeyakumar, V. 13 1995 Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization. Zbl 0858.90110Jeyakumar, V.; Zaffaroni, A. 13 1996 Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness. Zbl 1408.90227Jeyakumar, V.; Phạm, T. S.; Li, G. 13 2014 Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 12 2007 A general Farkas lemma and characterization of optimality for a nonsmooth program involving convex processes. Zbl 0616.90072Jeyakumar, V. 12 1987 Dual semidefinite programs without duality gaps for a class of convex minimax programs. Zbl 1312.90087Jeyakumar, V.; Vicente-Pérez, J. 12 2014 Some robust convex programs without a duality gap. Zbl 1277.90086Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua 12 2013 A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302Jeyakumar, V.; Li, G. 12 2015 An exact formula for radius of robust feasibility of uncertain linear programs. Zbl 1373.49035Chuong, Thai Doan; Jeyakumar, V. 12 2017 Nonlinear extensions of Farkas’ lemma with applications to global optimization and least squares. Zbl 0846.90098Jeyakumar, V.; Glover, B. M. 12 1995 Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028Jeyakumar, V.; Wang, J. H.; Li, G. 11 2012 Infinite-dimensional convex programming with applications to constrained approximation. Zbl 0797.90076Jeyakumar, V. 11 1992 Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints. Zbl 1408.90235Goberna, M. A.; Jeyakumar, V.; Li, G.; Linh, N. 11 2016 Nonlinear alternative theorems and nondifferentiable programming. Zbl 0622.90069Jeyakumar, V. 10 1984 Strong duality for robust minimax fractional programming problems. Zbl 1317.90291Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S. 10 2013 Simultaneous classification and feature selection via convex quadratic programming with application to HIV-associated neurocognitive disorder assessment. Zbl 1188.90235Dunbar, Michelle; Murray, John M.; Cysique, Lucette A.; Brew, Bruce J.; Jeyakumar, Vaithilingam 10 2010 Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022Dinh, N.; Jeyakumar, V.; Lee, G. M. 10 2006 Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems. Zbl 1064.90048Fischer, A.; Jeyakumar, V.; Luc, D. T. 10 2001 Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets. Zbl 1369.90136Jeyakumar, V.; Kim, S.; Lee, G. M.; Li, G. 10 2016 Equivalence of a Ky Fan type minimax theorem and a Gordan type alternative theorem. Zbl 0667.49007Craven, B. D.; Jeyakumar, V. 9 1986 Nonconvex theorems of the alternative and minimization. Zbl 0613.49026Craven, B. D.; Gwinner, J.; Jeyakumar, V. 9 1987 Knowledge-based semidefinite linear programming classifiers. Zbl 1112.90057Jeyakumar, V.; Ormerod, J.; Womersley, R. S. 9 2006 Sufficient global optimality conditions for multi-extremal smooth minimization problems with bounds and linear matrix inequality constraints. Zbl 1113.90147Huy, N. Q.; Jeyakumar, V.; Lee, G. M. 9 2006 Dual conditions characterizing optimality for convex multi-objective programs. Zbl 1050.90545Glover, B. M.; Jeyakumar, V.; Rubinov, A. M. 9 1999 Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164Jeyakumar, V.; Li, G. Y. 9 2014 Kuhn-Tucker sufficiency for global minimum of multi-extremal mathematical programming problems. Zbl 1135.90429Jeyakumar, V.; Srisatkunrajah, S.; Huy, N. Q. 9 2007 A note on strong duality in convex semidefinite optimization: necessary and sufficient conditions. Zbl 1147.90038Jeyakumar, V. 9 2008 Lagrange multiplier necessary conditions for global optimality for non-convex minimization over a quadratic constraint via S-lemma. Zbl 1154.90574Jeyakumar, V.; Srisatkunarajah, S. 9 2009 Constraint qualifications for convex optimization without convexity of constraints: new connections and applications to best approximation. Zbl 1374.90354Chieu, N. H.; Jeyakumar, V.; Li, G.; Mohebi, H. 9 2018 First and second-order optimality conditions for convex composite multiobjective optimization. Zbl 0890.90162Yang, X. Q.; Jeyakumar, V. 9 1997 The radius of robust feasibility of uncertain mathematical programs: a survey and recent developments. Zbl 07422958Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 1 2022 Exact conic programming reformulations of two-stage adjustable robust linear programs with new quadratic decision rules. Zbl 1460.90122Woolnough, D.; Jeyakumar, V.; Li, G. 3 2021 Calculating radius of robust feasibility of uncertain linear conic programs via semi-definite programs. Zbl 1470.90061Goberna, M. A.; Jeyakumar, V.; Li, G. 2 2021 Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality. Zbl 1430.90467Chieu, N. H.; Jeyakumar, V.; Li, Guoyin 2 2020 Generalized Farkas lemma with adjustable variables and two-stage robust linear programs. Zbl 1468.90076Chuong, Thai Doan; Jeyakumar, Vaithilingam 1 2020 Characterizing best approximation from a convex set without convex representation. Zbl 1407.41012Jeyakumar, V.; Mohebi, H. 5 2019 A new bounded degree hierarchy with SOCP relaxations for global polynomial optimization and conic convex semi-algebraic programs. Zbl 1433.90122Chuong, T. D.; Jeyakumar, V.; Li, G. 4 2019 A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints. Zbl 1455.90125Chieu, N. H.; Chuong, T. D.; Jeyakumar, V.; Li, G. 1 2019 Constraint qualifications for convex optimization without convexity of constraints: new connections and applications to best approximation. Zbl 1374.90354Chieu, N. H.; Jeyakumar, V.; Li, G.; Mohebi, H. 9 2018 Guaranteeing highly robust weakly efficient solutions for uncertain multi-objective convex programs. Zbl 1403.90606Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 8 2018 Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations. Zbl 1421.90104Bomze, Immanuel M.; Jeyakumar, Vaithilingam; Li, Guoyin 6 2018 Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems. Zbl 1396.90064Jeyakumar, V.; Li, G. 5 2018 Tight SDP relaxations for a class of robust SOS-convex polynomial programs without the Slater condition. Zbl 1429.90085Chuong, T. D.; Jeyakumar, V. 4 2018 Generalized Lagrangian duality for nonconvex polynomial programs with polynomial multipliers. Zbl 1433.90158Chuong, T. D.; Jeyakumar, V. 2 2018 An exact formula for radius of robust feasibility of uncertain linear programs. Zbl 1373.49035Chuong, Thai Doan; Jeyakumar, V. 12 2017 A generalized Farkas lemma with a numerical certificate and linear semi-infinite programs with SDP duals. Zbl 1352.90060Chuong, T. D.; Jeyakumar, V. 8 2017 Finding robust global optimal values of bilevel polynomial programs with uncertain linear constraints. Zbl 1370.49017Chuong, Thai Doan; Jeyakumar, V. 3 2017 Convergent conic linear programming relaxations for cone convex polynomial programs. Zbl 1409.90131Chuong, T. D.; Jeyakumar, V. 3 2017 Exact conic programming relaxations for a class of convex polynomial cone programs. Zbl 1388.90093Jeyakumar, Vaithilingam; Li, Guoyin 2 2017 Convergent hierarchy of SDP relaxations for a class of semi-infinite convex polynomial programs and applications. Zbl 1426.90242Chuong, T. D.; Jeyakumar, V. 2 2017 A convergent hierarchy of SDP relaxations for a class of hard robust global polynomial optimization problems. Zbl 1409.90182Chieu, N. H.; Jeyakumar, V.; Li, G. 2 2017 Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints. Zbl 1408.90235Goberna, M. A.; Jeyakumar, V.; Li, G.; Linh, N. 11 2016 Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets. Zbl 1369.90136Jeyakumar, V.; Kim, S.; Lee, G. M.; Li, G. 10 2016 Robust global error bounds for uncertain linear inequality systems with applications. Zbl 1348.49041Chuong, T. D.; Jeyakumar, V. 8 2016 Characterizing robust local error bounds for linear inequality systems under data uncertainty. Zbl 1328.49026Chuong, T. D.; Jeyakumar, V. 8 2016 Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S. 8 2016 Sums of squares characterizations of containment of convex semialgebraic sets. Zbl 1333.14058Jeyakumar, V.; Lee, G. M.; Lee, J. H. 4 2016 Generalized Farkas’ lemma and gap-free duality for minimax DC optimization with polynomials and robust quadratic optimization. Zbl 1346.90808Jeyakumar, V.; Lee, G. M.; Linh, N. T. H. 3 2016 Generalized SOS-convexity and strong duality with SDP dual programs in polynomial optimization. Zbl 1334.26024Jeyakumar, Vaithilingam; Lee, Gue Myung; Lee, Jae Hyoung 2 2016 Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 43 2015 Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136Jeyakumar, V.; Lee, G. M.; Li, G. 23 2015 Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 21 2015 A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302Jeyakumar, V.; Li, G. 12 2015 A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs. Zbl 1408.90226Jeyakumar, V.; Li, G. 3 2015 Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105Jeyakumar, V.; Li, G. Y. 48 2014 Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty. Zbl 1325.90081Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 31 2014 Farkas’ lemma: three decades of generalizations for mathematical optimization. Zbl 1330.90104Dinh, N.; Jeyakumar, V. 19 2014 On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208Jeyakumar, V.; Lasserre, J. B.; Li, G. 16 2014 Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness. Zbl 1408.90227Jeyakumar, V.; Phạm, T. S.; Li, G. 13 2014 Dual semidefinite programs without duality gaps for a class of convex minimax programs. Zbl 1312.90087Jeyakumar, V.; Vicente-Pérez, J. 12 2014 Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164Jeyakumar, V.; Li, G. Y. 9 2014 Support vector machine classifiers with uncertain knowledge sets via robust optimization. Zbl 1298.65104Jeyakumar, V.; Li, G.; Suthaharan, S. 6 2014 Global optimality principles for polynomial optimization over box or bivalent constraints by separable polynomial approximations. Zbl 1319.90052Jeyakumar, V.; Li, G.; Srisatkunarajah, S. 4 2014 Rejoinder on: “Farkas’ lemma: three decades of generalizations for mathematical optimization”. Zbl 1304.90192Dinh, N.; Jeyakumar, V. 2 2014 Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A. 26 2013 Robust duality in parametric convex optimization. Zbl 1327.90195Boţ, R. I.; Jeyakumar, V.; Li, G. Y. 23 2013 Some robust convex programs without a duality gap. Zbl 1277.90086Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua 12 2013 Strong duality for robust minimax fractional programming problems. Zbl 1317.90291Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S. 10 2013 Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty. Zbl 1288.90058Jeyakumar, V.; Li, G. Y. 4 2013 Robust best approximation with interpolation constraints under ellipsoidal uncertainty: strong duality and nonsmooth Newton methods. Zbl 1263.41016Jeyakumar, V.; Li, G. Y.; Mordukhovich, B. S.; Wang, J. H. 1 2013 Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154Jeyakumar, V.; Li, G.; Lee, G. M. 21 2012 Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047Jeyakumar, V.; Li, G. 16 2012 Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028Jeyakumar, V.; Wang, J. H.; Li, G. 11 2012 Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231Li, G. Y.; Jeyakumar, V.; Lee, G. M. 32 2011 A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006Jeyakumar, V.; Li, G. Y.; Lee, G. M. 18 2011 Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252Jeyakumar, V.; Li, G. Y. 16 2011 Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126Jeyakumar, V.; Li, G. Y. 14 2011 Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232Jeyakumar, V.; Li, G. 14 2011 Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems. Zbl 1230.90145Jeyakumar, V.; Li, Guoyin 5 2011 Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075Jeyakumar, V.; Li, G. Y. 69 2010 Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067Jeyakumar, V.; Li, Guoyin 33 2010 Simultaneous classification and feature selection via convex quadratic programming with application to HIV-associated neurocognitive disorder assessment. Zbl 1188.90235Dunbar, Michelle; Murray, John M.; Cysique, Lucette A.; Brew, Bruce J.; Jeyakumar, Vaithilingam 10 2010 Stability, stabilization and duality for linear time-varying systems. Zbl 1209.93123Phat, Vu N.; Jeyakumar, V. 3 2010 Glogal optimality conditions for classes of non-convex multi-objective quadratic optimization problems. Zbl 1236.90111Jeyakumar, V.; Lee, G. M.; Li, G. 2 2010 New strong duality results for convex programs with separable constraints. Zbl 1229.90124Jeyakumar, V.; Li, G. 1 2010 Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315Jeyakumar, V.; Lee, G. M.; Li, G. Y. 41 2009 Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin 20 2009 Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134Jeyakumar, V.; Li, G. Y. 14 2009 Lagrange multiplier necessary conditions for global optimality for non-convex minimization over a quadratic constraint via S-lemma. Zbl 1154.90574Jeyakumar, V.; Srisatkunarajah, S. 9 2009 Farkas’ lemma for separable sublinear inequalities without qualifications. Zbl 1206.90082Jeyakumar, V.; Li, G. Y. 7 2009 New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. Zbl 1239.90084Jeyakumar, Vaithilingam; Li, Guo Yin 6 2009 Qualification-free optimality conditions for convex programs with separable inequality constraints. Zbl 1182.49016Li, G. Y.; Jeyakumar, V. 6 2009 New sufficiency for global optimality and duality of mathematical programming problems via underestimators. Zbl 1191.90067Jeyakumar, V.; Srisatkunarajah, S. 2 2009 Geometric conditions for Kuhn-Tucker sufficiency of global optimality in mathematical programming. Zbl 1154.90590Jeyakumar, V.; Srisatkunarajah, S. 2 2009 New Kuhn-Tucker sufficiency for global optimality via convexification. Zbl 1192.90201Jeyakumar, V.; Lee, G. M.; Srisatkunarajah, S. 2 2009 A note on sufficient global optimality conditions for fixed charge quadratic programs. Zbl 1179.90310Jeyakumar, V.; Srisatkunarajah, S. 1 2009 Nonsmooth vector functions and continuous optimization. Zbl 1138.90002Jeyakumar, V.; Dinh The Luc 46 2008 Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities. Zbl 1145.90051Goberna, M. A.; Jeyakumar, V.; López, M. A. 36 2008 Constraint qualifications characterizing Lagrangian duality in convex optimization. Zbl 1194.90069Jeyakumar, V. 34 2008 Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074Jeyakumar, V.; Lee, G. M. 27 2008 A note on strong duality in convex semidefinite optimization: necessary and sufficient conditions. Zbl 1147.90038Jeyakumar, V. 9 2008 Global minimization of difference of quadratic and convex functions over box or binary constraints. Zbl 1161.90465Jeyakumar, V.; Huy, N. Q. 8 2008 Necessary and sufficient conditions for Farkas’ Lemma for cone systems and second-order cone programming duality. Zbl 1245.90141Jeyakumar, V.; Kum, S.; Lee, G. M. 7 2008 Unified global optimality conditions for smooth minimization problems with mixed variables. Zbl 1153.90544Jeyakumar, Vaithilingam; Srisatkunarajah, Sivakolundu; Huy, Nguyen Quang 1 2008 Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 49 2007 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M. 15 2007 Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 12 2007 Kuhn-Tucker sufficiency for global minimum of multi-extremal mathematical programming problems. Zbl 1135.90429Jeyakumar, V.; Srisatkunrajah, S.; Huy, N. Q. 9 2007 Conditions for global optimality of quadratic minimization problems with LMI constraints. Zbl 1118.41018Jeyakumar, Vaithilingam; Wu, Zhiyou 5 2007 A dual criterion for maximal monotonicity of composition operators. Zbl 1133.47039Jeyakumar, V.; Wu, Z. Y. 1 2007 Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090Jeyakumar, V.; Lee, G. M.; Dinh, N. 36 2006 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 35 2006 The strong conical hull intersection property for convex programming. Zbl 1134.90462Jeyakumar, V. 26 2006 Necessary and sufficient conditions for stable conjugate duality. Zbl 1091.49031Burachik, R. S.; Jeyakumar, V.; Wu, Z.-Y. 24 2006 Dual characterizations of set containments with strict convex inequalities. Zbl 1098.90085Goberna, M. A.; Jeyakumar, V.; Dinh, N. 19 2006 Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N. 15 2006 Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022Dinh, N.; Jeyakumar, V.; Lee, G. M. 10 2006 Knowledge-based semidefinite linear programming classifiers. Zbl 1112.90057Jeyakumar, V.; Ormerod, J.; Womersley, R. S. 9 2006 Sufficient global optimality conditions for multi-extremal smooth minimization problems with bounds and linear matrix inequality constraints. Zbl 1113.90147Huy, N. Q.; Jeyakumar, V.; Lee, G. M. 9 2006 A qualification free sequential Pshenichnyi-Rockafellar lemma and convex semidefinite. Zbl 1109.49015Jeyakumar, V.; Wu, Z. Y. 4 2006 ...and 67 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,060 Authors 123 Jeyakumar, Vaithilingam 50 Li, Guoyin 37 Lee, Gue Myung 37 Yang, Xiaoqi 33 Antczak, Tadeusz 32 Goberna, Miguel Angel 32 Mishra, Shashi Kant 25 Chuong, Thai Doan 23 Boţ, Radu Ioan 23 Yao, Jen-Chih 22 López-Cerdá, Marco Antonio 22 Wu, Zhiyou 19 Mohebi, Hossein 19 Yang, Xinmin 18 Kuroiwa, Daishi 16 Gadhi, Nazih Abderrazzak 16 Kim, Do Sang 16 Lee, Jae Hyoung 16 Wanka, Gert 15 Flores-Bazán, Fabián 15 Sun, Xiangkai 15 Suzuki, Satoshi 15 Wang, Shouyang 15 Zalmai, G. J. 14 Jayswal, Anurag 14 Volle, Michel 13 Nobakhtian, Soghra 13 Soleimani-damaneh, Majid 13 Teo, Kok Lay 12 Ahmad, Izhar 12 Fang, Donghui 12 Nguyen Dong Yen 11 Dempe, Stephan 11 Dinh The Luc 11 Ivanov, Vsevolod Ivanov 10 Rubinov, Alexander M. 10 Salahi, Maziar 10 Suneja, Surjeet Kaur 10 Wangkeeree, Rabian 9 Chen, Jiawei 9 Craven, Bruce Desmond 9 Do Van Luu 9 Huy, Nguyen Quang 9 Jiao, Liguo 9 Li, Shengjie 9 Mehra, Aparna 8 Bhatia, Davinder 8 Chieu, Nguyen Huy 8 Long, Xianjun 8 Noor, Muhammad Aslam 8 Pastor, Karel 8 Penot, Jean-Paul 8 Son, Ta Quang 8 Srisatkunarajah, Sivakolundu 8 Stancu-Minasian, Ioan M. 7 Ansari, Qamrul Hasan 7 Bai, Fusheng 7 Ginchev, Ivan G. 7 Kassay, Gábor 7 Kohli, Bhawna 7 Liu, Sanyang 7 Long, Dang Hai 7 Mordukhovich, Boris S. 7 Movahedian, Nooshin 7 Ng, Kung-Fu 7 Phan Quôc Khánh 7 Vicente-Pérez, José 6 Burachik, Regina Sandra 6 Chen, Chunrong 6 Chen, Zhe 6 Correa, Rafael 6 Csetnek, Ernö Robert 6 Grad, Sorin-Mihai 6 Kabgani, Alireza 6 Kim, Moon Hee 6 Kostyukova, Olga Ivanova 6 Lafhim, Lahoussine 6 Lara, Felipe 6 Li, Jun 6 Mastroeni, Giandomenico 6 Pham Huu Sach 6 Preda, Vasile C. 6 Rojas-Medar, Marko Antonio 6 Roshchina, Vera 6 Rufián-Lizana, Antonio 6 Schöbel, Anita 6 Sisarat, Nithirat 6 Tang, Liping 6 Tchemisova, Tatiana V. 6 Tian, Jing 6 Verma, Ram U. 6 Wu, Di 6 Zafarani, Jafar 6 Zhao, Kequan 5 Al-Homidan, Suliman S. 5 Bector, C. R. 5 Chen, Jein-Shan 5 Doagooei, Ali Reza 5 El Idrissi, Mohammed 5 Guerraggio, Angelo ...and 960 more Authors all top 5 Cited in 155 Serials 198 Journal of Optimization Theory and Applications 124 Optimization 104 Journal of Global Optimization 83 Journal of Mathematical Analysis and Applications 71 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Optimization Letters 50 European Journal of Operational Research 46 Mathematical Programming. Series A. 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RACSAM 2 Mathematical Sciences 2 Journal of Function Spaces 2 Journal of Nonlinear and Variational Analysis 1 International Journal of Control 1 International Journal of Engineering Science 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Acta Mathematica Vietnamica 1 Calcolo 1 Information Sciences ...and 55 more Serials all top 5 Cited in 39 Fields 1,165 Operations research, mathematical programming (90-XX) 501 Calculus of variations and optimal control; optimization (49-XX) 138 Real functions (26-XX) 90 Numerical analysis (65-XX) 55 Operator theory (47-XX) 50 Convex and discrete geometry (52-XX) 48 Functional analysis (46-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Global analysis, analysis on manifolds (58-XX) 20 Approximations and expansions (41-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 General topology (54-XX) 13 Computer science (68-XX) 9 Systems theory; control (93-XX) 7 Algebraic geometry (14-XX) 7 Statistics (62-XX) 7 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Difference and functional equations (39-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year