Edit Profile 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 · Wikidata · ORCID · dblp Documents Indexed: 173 Publications since 1984, including 2 Books all top 5 Co-Authors 21 single-authored 49 Li, Guoyin 22 Lee, Gue Myung 11 Chuong, Thai Doan 10 Wu, Zhiyou 9 Dinh The Luc 9 Rubinov, Alexander M. 9 Srisatkunarajah, Sivakolundu 8 Glover, Bevil Milton 7 Goberna, Miguel Angel 7 Huy, Nguyen Quang 6 Dinh, Ngo Van 6 Yang, Xiaoqi 5 Gwinner, Joachim 5 Vicente-Pérez, José 4 Burachik, Regina Sandra 4 Chieu, Nguyen Huy 4 Mohebi, Hossein 4 Oettli, Werner 3 Craven, Bruce Desmond 3 Glover, Barney M. 3 Wang, Jinhua 2 Dinh, Nguyen Pham 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 Dinh, Nam T. 1 Dunbar, Michelle 1 Fischer, Andrew F. 1 Kim, Sangyeon 1 Kum, Sangho 1 Li, Gongquan 1 Linh, Nguyen Thi Hoai 1 Linh, Nguyen Thi Hong 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 Womersley, Robert S. 1 Woolnough, D. 1 Nguyen Dong Yen 1 Zaffaroni, Alberto all top 5 Serials 23 Journal of Optimization Theory and Applications 13 Journal of Global Optimization 12 Mathematical Programming. Series A. Series B 12 SIAM Journal on Optimization 10 Operations Research Letters 10 Optimization 9 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 158 Operations research, mathematical programming (90-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 12 Approximations and expansions (41-XX) 11 Real functions (26-XX) 11 Numerical analysis (65-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 162 Publications have been cited 2,627 times in 1,196 Documents Cited by ▼ Year ▼ On generalised convex mathematical programming. Zbl 0773.90061Jeyakumar, V.; Mond, B. 132 1992 Approximate Jacobian matrices for nonsmooth continuous maps and \(C^{1}\)-optimization. Zbl 0923.49012Jeyakumar, V.; Luc, D. T. 81 1998 New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Zbl 1046.90059Jeyakumar, V.; Lee, G. M.; Dinh, N. 68 2003 A class of nonconvex functions and mathematical programming. Zbl 0639.90082Weir, T.; Jeyakumar, V. 63 1988 Nonsmooth calculus, minimality, and monotonicity of convexificators. Zbl 0956.90033Jeyakumar, V.; Luc, D. T. 61 1999 Strong and weak invexity in mathematical programming. Zbl 0566.90086Jeyakumar, V. 56 1985 Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075Jeyakumar, V.; Li, G. Y. 55 2010 Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 48 2007 Generalizations of Slater’s constraint qualification for infinite convex programs. Zbl 0771.90078Jeyakumar, V.; Wolkowicz, Henry 45 1992 Convexlike alternative theorems and mathematical programming. Zbl 0581.90079Jeyakumar, V. 45 1985 Characterizing set containments involving infinite convex constraints and reverse-convex constraints. Zbl 1038.90061Jeyakumar, V. 44 2003 A solvability theorem for a class of quasiconvex mappings with applications to optimization. Zbl 0791.46002Jeyakumar, V.; Oettli, W.; Natividad, M. 44 1993 Nonsmooth vector functions and continuous optimization. Zbl 1138.90002Jeyakumar, V.; Dinh The Luc 43 2008 Convex composite multi-objective nonsmooth programming. Zbl 0789.90068Jeyakumar, V.; Yang, X. Q. 42 1993 A new geometric condition for Fenchel’s duality in infinite dimensional spaces. Zbl 1093.90077Burachik, Regina Sandra; Jeyakumar, Vaithilingam 41 2005 Hunting for a smaller convex subdifferential. Zbl 0872.90083Demyanov, V. F.; Jeyakumar, V. 40 1997 On characterizing the solution sets of pseudolinear programs. Zbl 0840.90118Jeyakumar, V.; Yang, X. Q. 40 1995 A generalization of a minimax theorem of Fan via a theorem of the alternative. Zbl 0563.49006Jeyakumar, V. 40 1986 Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105Jeyakumar, V.; Li, G. Y. 38 2014 Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315Jeyakumar, V.; Lee, G. M.; Li, G. Y. 38 2009 A dual condition for the convex subdifferential sum formula with applications. Zbl 1098.49017Burachik, R. S.; Jeyakumar, V. 37 2005 Generalized second-order directional derivatives and optimization with \(C^{1,1}\) functions. Zbl 0814.49012Yang, X. Q.; Jeyakumar, V. 37 1992 Zero duality gaps in infinite-dimensional programming. Zbl 0687.90077Jeyakumar, V.; Wolkowicz, H. 37 1990 Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 35 2015 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 33 2006 Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090Jeyakumar, V.; Lee, G. M.; Dinh, N. 33 2006 Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities. Zbl 1145.90051Goberna, M. A.; Jeyakumar, V.; López, M. A. 32 2008 Constraint qualifications characterizing Lagrangian duality in convex optimization. Zbl 1194.90069Jeyakumar, V. 31 2008 Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067Jeyakumar, V.; Li, Guoyin 30 2010 Composite nonsmooth programming with Gâteaux differentiability. Zbl 0752.90067Jeyakumar, V. 29 1991 Lagrange multiplier conditions characterizing the optimal solution sets of cone-constrained convex programs. Zbl 1114.90091Jeyakumar, V.; Lee, G. M.; Dinh, N. 28 2004 Inequality systems and global optimization. Zbl 0856.90128Jeyakumar, V.; Rubinov, A. M.; Glover, B. M.; Ishizuka, Y. 28 1996 Asymptotic dual conditions characterizing optimality for infinite convex programs. Zbl 0901.90158Jeyakumar, V. 27 1997 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. 26 2008 Inequality systems and optimization. Zbl 0734.90089Jeyakumar, V.; Gwinner, J. 26 1991 The strong conical hull intersection property for convex programming. Zbl 1134.90462Jeyakumar, V. 24 2006 Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A. 23 2013 Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231Li, G. Y.; Jeyakumar, V.; Lee, G. M. 23 2011 Necessary and sufficient conditions for stable conjugate duality. Zbl 1091.49031Burachik, R. S.; Jeyakumar, V.; Wu, Z.-Y. 23 2006 Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty. Zbl 1325.90081Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 22 2014 A sharp Lagrange multiplier rule for nonsmooth mathematical programming problems involving equality constraints. Zbl 1047.90075Wang, Xiang; Jeyakumar, V. 22 2000 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. 21 1999 Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin 20 2009 A simple closure condition for the normal cone intersection formula. Zbl 1065.46055Burachik, Regina Sandra; Jeyakumar, Vaithilingam 20 2005 Sequential Lagrangian conditions for convex programs with applications to semidefinite programming. Zbl 1114.90083Dinh, N.; Jeyakumar, V.; Lee, G. M. 18 2005 Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. Zbl 1058.49013Jeyakumar, V.; Yen, N. D. 18 2004 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 Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136Jeyakumar, V.; Lee, G. M.; Li, G. 17 2015 Dual characterizations of set containments with strict convex inequalities. Zbl 1098.90085Goberna, M. A.; Jeyakumar, V.; Dinh, N. 17 2006 Convex composite minimization with \(C^{1,1}\) functions. Zbl 0838.90110Jeyakumar, V.; Yang, X. Q. 17 1995 Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 16 2015 Robust duality in parametric convex optimization. Zbl 1327.90195Boţ, R. I.; Jeyakumar, V.; Li, G. Y. 16 2013 Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047Jeyakumar, V.; Li, G. 16 2012 Approximate generalized Hessians and Taylor’s expansions for continuously Gâteaux differentiable functions. Zbl 0931.49011Jeyakumar, V.; Yang, X. Q. 16 1999 On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208Jeyakumar, V.; Lasserre, J. B.; Li, G. 15 2014 Farkas’ lemma: three decades of generalizations for mathematical optimization. Zbl 1330.90104Dinh, N.; Jeyakumar, V. 15 2014 Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154Jeyakumar, V.; Li, G.; Lee, G. M. 15 2012 A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006Jeyakumar, V.; Li, G. Y.; Lee, G. M. 15 2011 Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126Jeyakumar, V.; Li, G. Y. 14 2011 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M. 14 2007 Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N. 14 2006 Duality and infinite dimensional optimization. Zbl 0724.90051Jeyakumar, V. 14 1990 A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302Jeyakumar, V.; Li, G. 13 2015 Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252Jeyakumar, V.; Li, G. Y. 13 2011 Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134Jeyakumar, V.; Li, G. Y. 13 2009 Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians. Zbl 0911.49014Jeyakumar, V.; Luc, D. T.; Schaible, S. 13 1998 Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization. Zbl 0858.90110Jeyakumar, V.; Zaffaroni, A. 13 1996 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 Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232Jeyakumar, V.; Li, G. 12 2011 Nonlinear extensions of Farkas’ lemma with applications to global optimization and least squares. Zbl 0846.90098Jeyakumar, V.; Glover, B. M. 12 1995 A general Farkas lemma and characterization of optimality for a nonsmooth program involving convex processes. Zbl 0616.90072Jeyakumar, V. 12 1987 Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness. Zbl 1408.90227Jeyakumar, V.; Phạm, T. S.; Li, G. 11 2014 Dual semidefinite programs without duality gaps for a class of convex minimax programs. Zbl 1312.90087Jeyakumar, V.; Vicente-Pérez, J. 11 2014 Limiting \(\varepsilon\)-subgradient characterizations of constrained best approximation. Zbl 1138.41304Jeyakumar, V.; Mohebi, H. 11 2005 Infinite-dimensional convex programming with applications to constrained approximation. Zbl 0797.90076Jeyakumar, V. 11 1992 Some robust convex programs without a duality gap. Zbl 1277.90086Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua 10 2013 Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022Dinh, N.; Jeyakumar, V.; Lee, G. M. 10 2006 A global approach to nonlinearly constrained best approximation. Zbl 1072.41019Jeyakumar, V.; Mohebi, H. 10 2005 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 First and second-order optimality conditions for convex composite multiobjective optimization. Zbl 0890.90162Yang, X. Q.; Jeyakumar, V. 10 1997 Nonlinear alternative theorems and nondifferentiable programming. Zbl 0622.90069Jeyakumar, V. 10 1984 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 Dual conditions characterizing optimality for convex multi-objective programs. Zbl 1050.90545Glover, B. M.; Jeyakumar, V.; Rubinov, A. M. 9 1999 A Farkas lemma for difference sublinear systems and quasidifferentiable programming. Zbl 0804.49015Glover, B. M.; Jeyakumar, V.; Oettli, W. 9 1994 Nonconvex theorems of the alternative and minimization. Zbl 0613.49026Craven, B. D.; Gwinner, J.; Jeyakumar, V. 9 1987 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. 8 2016 Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164Jeyakumar, V.; Li, G. Y. 8 2014 Strong duality for robust minimax fractional programming problems. Zbl 1317.90291Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S. 8 2013 Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028Jeyakumar, V.; Wang, J. H.; Li, G. 8 2012 Global minimization of difference of quadratic and convex functions over box or binary constraints. Zbl 1161.90465Jeyakumar, V.; Huy, N. Q. 8 2008 A note on strong duality in convex semidefinite optimization: necessary and sufficient conditions. Zbl 1147.90038Jeyakumar, V. 8 2008 Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 8 2007 Kuhn-Tucker sufficiency for global minimum of multi-extremal mathematical programming problems. Zbl 1135.90429Jeyakumar, V.; Srisatkunrajah, S.; Huy, N. Q. 8 2007 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. 8 2006 Knowledge-based semidefinite linear programming classifiers. Zbl 1112.90057Jeyakumar, V.; Ormerod, J.; Womersley, R. S. 8 2006 An open mapping theorem using unbounded generalized Jacobians. Zbl 1035.49016Jeyakumar, V.; Luc, D. T. 8 2002 Characterizing global optimality for DC optimization problems under convex inequality constraints. Zbl 0855.90100Jeyakumar, V.; Glover, B. M. 8 1996 Equivalence of a Ky Fan type minimax theorem and a Gordan type alternative theorem. Zbl 0667.49007Craven, B. D.; Jeyakumar, V. 8 1986 Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality. Zbl 1430.90467Chieu, N. H.; Jeyakumar, V.; Li, Guoyin 2 2020 A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints. Zbl 07165838Chieu, N. H.; Chuong, T. D.; Jeyakumar, V.; Li, G. 1 2019 Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations. Zbl 1421.90104Bomze, Immanuel M.; Jeyakumar, Vaithilingam; Li, Guoyin 4 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. 4 2018 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. 4 2018 Tight SDP relaxations for a class of robust SOS-convex polynomial programs without the Slater condition. Zbl 1429.90085Chuong, T. D.; Jeyakumar, V. 3 2018 Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems. Zbl 1396.90064Jeyakumar, V.; Li, G. 3 2018 Generalized Lagrangian duality for nonconvex polynomial programs with polynomial multipliers. Zbl 1433.90158Chuong, T. D.; Jeyakumar, V. 2 2018 A generalized Farkas lemma with a numerical certificate and linear semi-infinite programs with SDP duals. Zbl 1352.90060Chuong, T. D.; Jeyakumar, V. 7 2017 An exact formula for radius of robust feasibility of uncertain linear programs. Zbl 1373.49035Chuong, Thai Doan; Jeyakumar, V. 5 2017 Convergent conic linear programming relaxations for cone convex polynomial programs. Zbl 1409.90131Chuong, T. D.; Jeyakumar, V. 2 2017 Finding robust global optimal values of bilevel polynomial programs with uncertain linear constraints. Zbl 1370.49017Chuong, Thai Doan; Jeyakumar, V. 2 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. 1 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. 1 2017 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. 8 2016 Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S. 6 2016 Robust global error bounds for uncertain linear inequality systems with applications. Zbl 1348.49041Chuong, T. D.; Jeyakumar, V. 6 2016 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. 5 2016 Characterizing robust local error bounds for linear inequality systems under data uncertainty. Zbl 1328.49026Chuong, T. D.; Jeyakumar, V. 5 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. 35 2015 Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136Jeyakumar, V.; Lee, G. M.; Li, G. 17 2015 Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452Jeyakumar, V.; Li, G.; Vicente-Pérez, J. 16 2015 A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302Jeyakumar, V.; Li, G. 13 2015 A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs. Zbl 1408.90226Jeyakumar, V.; Li, G. 2 2015 Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105Jeyakumar, V.; Li, G. Y. 38 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. 22 2014 On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208Jeyakumar, V.; Lasserre, J. B.; Li, G. 15 2014 Farkas’ lemma: three decades of generalizations for mathematical optimization. Zbl 1330.90104Dinh, N.; Jeyakumar, V. 15 2014 Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness. Zbl 1408.90227Jeyakumar, V.; Phạm, T. S.; Li, G. 11 2014 Dual semidefinite programs without duality gaps for a class of convex minimax programs. Zbl 1312.90087Jeyakumar, V.; Vicente-Pérez, J. 11 2014 Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164Jeyakumar, V.; Li, G. Y. 8 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. 1 2014 Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A. 23 2013 Robust duality in parametric convex optimization. Zbl 1327.90195Boţ, R. I.; Jeyakumar, V.; Li, G. Y. 16 2013 Some robust convex programs without a duality gap. Zbl 1277.90086Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua 10 2013 Strong duality for robust minimax fractional programming problems. Zbl 1317.90291Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S. 8 2013 Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty. Zbl 1288.90058Jeyakumar, V.; Li, G. Y. 3 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 Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047Jeyakumar, V.; Li, G. 16 2012 Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154Jeyakumar, V.; Li, G.; Lee, G. M. 15 2012 Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028Jeyakumar, V.; Wang, J. H.; Li, G. 8 2012 Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231Li, G. Y.; Jeyakumar, V.; Lee, G. M. 23 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. 15 2011 Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126Jeyakumar, V.; Li, G. Y. 14 2011 Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252Jeyakumar, V.; Li, G. Y. 13 2011 Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232Jeyakumar, V.; Li, G. 12 2011 Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems. Zbl 1230.90145Jeyakumar, V.; Li, Guoyin 4 2011 Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075Jeyakumar, V.; Li, G. Y. 55 2010 Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067Jeyakumar, V.; Li, Guoyin 30 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 7 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. 38 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. 13 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 Qualification-free optimality conditions for convex programs with separable inequality constraints. Zbl 1182.49016Li, G. Y.; Jeyakumar, V. 6 2009 New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. Zbl 1239.90084Jeyakumar, Vaithilingam; Li, Guo Yin 5 2009 Farkas’ lemma for separable sublinear inequalities without qualifications. Zbl 1206.90082Jeyakumar, V.; Li, G. Y. 5 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 New sufficiency for global optimality and duality of mathematical programming problems via underestimators. Zbl 1191.90067Jeyakumar, V.; Srisatkunarajah, S. 1 2009 Geometric conditions for Kuhn-Tucker sufficiency of global optimality in mathematical programming. Zbl 1154.90590Jeyakumar, V.; Srisatkunarajah, S. 1 2009 Nonsmooth vector functions and continuous optimization. Zbl 1138.90002Jeyakumar, V.; Dinh The Luc 43 2008 Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities. Zbl 1145.90051Goberna, M. A.; Jeyakumar, V.; López, M. A. 32 2008 Constraint qualifications characterizing Lagrangian duality in convex optimization. Zbl 1194.90069Jeyakumar, V. 31 2008 Complete characterizations of stable Farkas’ lemma and cone-convex programming duality. Zbl 1145.90074Jeyakumar, V.; Lee, G. M. 26 2008 Global minimization of difference of quadratic and convex functions over box or binary constraints. Zbl 1161.90465Jeyakumar, V.; Huy, N. Q. 8 2008 A note on strong duality in convex semidefinite optimization: necessary and sufficient conditions. Zbl 1147.90038Jeyakumar, V. 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. 48 2007 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M. 14 2007 Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 8 2007 Kuhn-Tucker sufficiency for global minimum of multi-extremal mathematical programming problems. Zbl 1135.90429Jeyakumar, V.; Srisatkunrajah, S.; Huy, N. Q. 8 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 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 33 2006 Characterizations of solution sets of convex vector minimization problems. Zbl 1103.90090Jeyakumar, V.; Lee, G. M.; Dinh, N. 33 2006 The strong conical hull intersection property for convex programming. Zbl 1134.90462Jeyakumar, V. 24 2006 Necessary and sufficient conditions for stable conjugate duality. Zbl 1091.49031Burachik, R. S.; Jeyakumar, V.; Wu, Z.-Y. 23 2006 Dual characterizations of set containments with strict convex inequalities. Zbl 1098.90085Goberna, M. A.; Jeyakumar, V.; Dinh, N. 17 2006 Liberating the subgradient optimality conditions from constraint qualifications. Zbl 1131.90069Jeyakumar, V.; Wu, Z. Y.; Lee, G. M.; Dinh, N. 14 2006 Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems. Zbl 1124.90022Dinh, N.; Jeyakumar, V.; Lee, G. M. 10 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. 8 2006 Knowledge-based semidefinite linear programming classifiers. Zbl 1112.90057Jeyakumar, V.; Ormerod, J.; Womersley, R. S. 8 2006 A qualification free sequential Pshenichnyi-Rockafellar lemma and convex semidefinite. Zbl 1109.49015Jeyakumar, V.; Wu, Z. Y. 2 2006 A new geometric condition for Fenchel’s duality in infinite dimensional spaces. Zbl 1093.90077Burachik, Regina Sandra; Jeyakumar, Vaithilingam 41 2005 A dual condition for the convex subdifferential sum formula with applications. Zbl 1098.49017Burachik, R. S.; Jeyakumar, V. 37 2005 A simple closure condition for the normal cone intersection formula. Zbl 1065.46055Burachik, Regina Sandra; Jeyakumar, Vaithilingam 20 2005 Sequential Lagrangian conditions for convex programs with applications to semidefinite programming. Zbl 1114.90083Dinh, N.; Jeyakumar, V.; Lee, G. M. 18 2005 Limiting \(\varepsilon\)-subgradient characterizations of constrained best approximation. Zbl 1138.41304Jeyakumar, V.; Mohebi, H. 11 2005 A global approach to nonlinearly constrained best approximation. Zbl 1072.41019Jeyakumar, V.; Mohebi, H. 10 2005 ...and 62 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,073 Authors 120 Jeyakumar, Vaithilingam 48 Li, Guoyin 37 Yang, Xiaoqi 34 Lee, Gue Myung 32 Antczak, Tadeusz 29 Goberna, Miguel Angel 27 Mishra, Shashi Kant 23 Boţ, Radu Ioan 21 Wu, Zhiyou 20 Chuong, Thai Doan 20 López-Cerdá, Marco Antonio 20 Yao, Jen-Chih 19 Yang, Xinmin 17 Kuroiwa, Daishi 16 Wanka, Gert 15 Kim, Do Sang 15 Suzuki, Satoshi 15 Wang, Shouyang 15 Zalmai, G. J. 14 Sun, Xiangkai 13 Lee, Jae Hyoung 13 Soleimani-damaneh, Majid 13 Volle, Michel 12 Flores-Bazán, Fabián 12 Gadhi, Nazih Abderrazzak 12 Mohebi, Hossein 12 Nobakhtian, Soghra 12 Teo, Kok Lay 11 Dinh The Luc 11 Fang, Donghui 11 Ivanov, Vsevolod Ivanov 11 Jayswal, Anurag 11 Rubinov, Alexander M. 10 Ahmad, Izhar 10 Suneja, Surjeet Kaur 10 Nguyen Dong Yen 9 Craven, Bruce Desmond 9 Dinh, Ngo Van 9 Dinh, Nguyen Pham 9 Glover, Bevil Milton 9 Huy, Nguyen Quang 9 Li, Shengjie 9 Mehra, Aparna 8 Bhatia, Davinder 8 Chieu, Nguyen Huy 8 Do Van Luu 8 Pastor, Karel 8 Penot, Jean-Paul 8 Srisatkunarajah, Sivakolundu 8 Stancu-Minasian, Ioan M. 7 Bai, Fusheng 7 Chen, Jiawei 7 Dempe, Stephan 7 Ginchev, Ivan G. 7 Kassay, Gábor 7 Liu, Sanyang 7 Mordukhovich, Boris S. 7 Noor, Muhammad Aslam 7 Phan Quôc Khánh 7 Salahi, Maziar 7 Son, Ta Quang 6 Ansari, Qamrul Hasan 6 Chen, Zhe 6 Csetnek, Ernö Robert 6 Grad, Sorin-Mihai 6 Kohli, Bhawna 6 Long, Xianjun 6 Movahedian, Nooshin 6 Ng, Kung-Fu 6 Preda, Vasile C. 6 Rojas-Medar, Marko Antonio 6 Roshchina, Vera 6 Rufián-Lizana, Antonio 6 Sach, Pham Huu 6 Tuan, Nguyen Dinh 6 Verma, Ram U. 6 Vicente-Pérez, José 6 Zhao, Kequan 5 Bector, C. R. 5 Chen, Chunrong 5 Chen, Jein-Shan 5 Doagooei, Ali Reza 5 Guerraggio, Angelo 5 Gwinner, Joachim 5 Hodrea, Ioan Bogdan 5 Jiao, Liguo 5 Kostyukova, Olga Ivanova 5 Lai, Kuei-Kuei 5 Li, Duan 5 Li, Jun 5 Martínez-Legaz, Juan-Enrique 5 Mastroeni, Giandomenico 5 Mukherjee, Rathindra Nath 5 Novo-Sanjurjo, Vicente 5 Popovici, Nicolae 5 Quan, Jing 5 Rocca, Matteo 5 Schaible, Siegfried 5 Schöbel, Anita 5 Sisarat, Nithirat ...and 973 more Authors all top 5 Cited in 139 Serials 183 Journal of Optimization Theory and Applications 115 Optimization 98 Journal of Global Optimization 81 Journal of Mathematical Analysis and Applications 71 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Optimization Letters 46 European Journal of Operational Research 39 Mathematical Programming. Series A. Series B 28 Numerical Functional Analysis and Optimization 25 SIAM Journal on Optimization 20 Journal of Inequalities and Applications 17 Operations Research Letters 16 Set-Valued and Variational Analysis 15 Applied Mathematics and Computation 14 Opsearch 14 Applied Mathematics Letters 14 Positivity 13 Computers & Mathematics with Applications 13 Top 12 Annals of Operations Research 10 Journal of Computational and Applied Mathematics 10 Journal of Industrial and Management Optimization 9 Computational Optimization and Applications 9 Mathematical Methods of Operations Research 9 Journal of Applied Mathematics 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Information & Optimization Sciences 8 Set-Valued Analysis 8 Journal of Applied Mathematics and Computing 6 Bulletin of the Australian Mathematical Society 6 Applied Mathematics and Optimization 6 Acta Mathematicae Applicatae Sinica. English Series 5 Asia-Pacific Journal of Operational Research 5 Mathematical and Computer Modelling 5 Linear Algebra and its Applications 5 Applied Mathematics. Series B (English Edition) 5 Vietnam Journal of Mathematics 5 Abstract and Applied Analysis 5 RAIRO. Operations Research 5 Journal of Systems Science and Complexity 4 Applicable Analysis 4 Fuzzy Sets and Systems 4 Journal of Approximation Theory 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Applications of Mathematics 4 Journal of Applied Analysis 4 Fixed Point Theory and Applications 4 Journal of the Operations Research Society of China 3 Computer Methods in Applied Mechanics and Engineering 3 Kybernetika 3 International Journal of Computer Mathematics 3 Journal of Convex Analysis 3 Optimization Methods & Software 3 Taiwanese Journal of Mathematics 3 The ANZIAM Journal 3 Central European Journal of Mathematics 3 Journal of Nonlinear Analysis and Optimization: Theory & Applications 2 Archiv der Mathematik 2 Automatica 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the American Mathematical Society 2 ZOR. Zeitschrift für Operations Research 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete Dynamics in Nature and Society 2 Journal of Interdisciplinary Mathematics 2 Acta Mathematica Sinica. English Series 2 Optimization and Engineering 2 Decisions in Economics and Finance 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 4OR 2 Nonlinear Analysis. Hybrid Systems 2 Advances in Operations Research 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Numerical Algebra, Control and Optimization 2 Mathematical Sciences 2 Open Mathematics 2 Journal of Nonlinear and Variational Analysis 1 International Journal of Control 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 1 Journal of Functional Analysis 1 Mathematics of Operations Research 1 Operations Research 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Insurance Mathematics & Economics 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Neural Networks 1 Applied Mathematical Modelling 1 Pattern Recognition 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 39 more Serials all top 5 Cited in 37 Fields 1,043 Operations research, mathematical programming (90-XX) 455 Calculus of variations and optimal control; optimization (49-XX) 125 Real functions (26-XX) 71 Numerical analysis (65-XX) 48 Operator theory (47-XX) 47 Functional analysis (46-XX) 41 Convex and discrete geometry (52-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Global analysis, analysis on manifolds (58-XX) 17 Approximations and expansions (41-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 General topology (54-XX) 13 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Algebraic geometry (14-XX) 5 Mechanics of deformable solids (74-XX) 4 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-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 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.