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Author ID: li.guoyin Recent zbMATH articles by "Li, Guoyin"
Published as: Li, Guoyin; Li, G.; Li, G. Y.; Li, Guo Yin; Li, Guo-Yin
Homepage: https://web.maths.unsw.edu.au/~gyli/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 2,272 times in 1,306 Documents Cited by Year
Global convergence of splitting methods for nonconvex composite optimization. Zbl 1330.90087
Li, Guoyin; Pong, Ting Kei
121
2015
Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods. Zbl 1405.90076
Li, Guoyin; Pong, Ting Kei
96
2018
New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054
Wei, Zengxin; Li, Guoyin; Qi, Liqun
90
2006
Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075
Jeyakumar, V.; Li, G. Y.
90
2010
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
76
2013
New conjugacy condition and related new conjugate gradient methods for unconstrained optimization. Zbl 1116.65069
Li, Guoyin; Tang, Chunming; Wei, Zengxin
75
2007
Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems. Zbl 1346.90584
Li, Guoyin; Pong, Ting Kei
72
2016
Hölder metric subregularity with applications to proximal point method. Zbl 1260.49069
Li, Guoyin; Mordukhovich, Boris S.
62
2012
Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105
Jeyakumar, V.; Li, G. Y.
58
2014
Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
54
2015
A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs. Zbl 1291.90315
Yuan, Gonglin; Wei, Zengxin; Li, Guoyin
48
2014
Global error bounds for piecewise convex polynomials. Zbl 1270.90080
Li, Guoyin
46
2013
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
45
2009
New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors. Zbl 1327.90237
Li, G.; Mordukhovich, B. S.; Phạm, T. S.
42
2015
Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty. Zbl 1325.90081
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
41
2014
Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K.
39
2017
Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. Zbl 1296.41011
Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin
39
2014
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
38
2015
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
38
2012
Error bounds of generalized D-gap functions for nonsmooth and nonmonotone variational inequality problems. Zbl 1194.65088
Li, Guoyin; Ng, Kung Fu
38
2009
A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. Zbl 1438.65060
Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun
37
2018
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055
Wei, Zengxin; Li, Guoyin; Qi, Liqun
37
2006
Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231
Li, G. Y.; Jeyakumar, V.; Lee, G. M.
37
2011
Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204
Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A.
36
2013
Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067
Jeyakumar, V.; Li, Guoyin
35
2010
Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452
Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
33
2015
Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems. Zbl 1198.65091
Wei, Zeng Xin; Li, Guo Yin; Qi, Li Qun
30
2008
On the asymptotically well behaved functions and global error bound for convex polynomials. Zbl 1208.90135
Li, Guoyin
30
2010
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
27
2013
Nonlinear behaviour and stability of functionally graded porous arches with graphene platelets reinforcements. Zbl 1425.74232
Liu, Zhanpeng; Yang, Chengwei; Gao, Wei; Wu, Di; Li, Guoyin
26
2019
On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208
Jeyakumar, V.; Lasserre, J. B.; Li, G.
23
2014
Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141
Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin
22
2009
On extension of Fenchel duality and its application. Zbl 1190.90249
Li, Guoyin; Fu, Ng Kung
22
2008
Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047
Jeyakumar, V.; Li, G.
21
2012
Global convergence of modified Polak-Ribière-Polyak conjugate gradient methods with sufficient descent property. Zbl 1168.65030
Yu, Gaohang; Guan, Lutai; Li, Guoyin
20
2008
A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302
Jeyakumar, V.; Li, G.
19
2015
Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming. Zbl 1274.90258
Hu, Shenglong; Li, Guoyin; Qi, Liqun; Song, Yisheng
19
2013
Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252
Jeyakumar, V.; Li, G. Y.
19
2011
Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application. Zbl 1260.15010
Li, Guoyin; Qi, Liqun; Yu, Gaohang
19
2013
Convergence rate analysis for the higher order power method in best rank one approximations of tensors. Zbl 1404.65035
Hu, Shenglong; Li, Guoyin
17
2018
Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126
Jeyakumar, V.; Li, G. Y.
17
2011
A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006
Jeyakumar, V.; Li, G. Y.; Lee, G. M.
17
2011
Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness. Zbl 1408.90227
Jeyakumar, V.; Phạm, T. S.; Li, G.
17
2014
Peaceman-Rachford splitting for a class of nonconvex optimization problems. Zbl 1387.90198
Li, Guoyin; Liu, Tianxiang; Pong, Ting Kei
17
2017
Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates. Zbl 1400.90251
Li, G.; Mordukhovich, B. S.; Nghia, T. T. A.; Phạm, T. S.
17
2018
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
16
2016
Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134
Jeyakumar, V.; Li, G. Y.
16
2009
Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232
Jeyakumar, V.; Li, G.
16
2011
Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints. Zbl 1408.90235
Goberna, M. A.; Jeyakumar, V.; Li, G.; Linh, N.
16
2016
Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028
Jeyakumar, V.; Wang, J. H.; Li, G.
15
2012
Kurdyka-Łojasiewicz exponent via inf-projection. Zbl 1501.90047
Yu, Peiran; Li, Guoyin; Pong, Ting Kei
15
2022
A tensor analogy of Yuan’s theorem of the alternative and polynomial optimization with sign structure. Zbl 1338.90317
Hu, Shenglong; Li, Guoyin; Qi, Liqun
14
2016
Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems. Zbl 1396.90064
Jeyakumar, V.; Li, G.
14
2018
Constraint qualifications for convex optimization without convexity of constraints: new connections and applications to best approximation. Zbl 1374.90354
Chieu, N. H.; Jeyakumar, V.; Li, G.; Mohebi, H.
13
2018
Some robust convex programs without a duality gap. Zbl 1277.90086
Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua
13
2013
Error bound results for generalized D-gap functions of nonsmooth variational inequality problems. Zbl 1204.65080
Li, Guoyin; Tang, Chunming; Wei, Zengxin
13
2010
A note on alternating projections for ill-posed semidefinite feasibility problems. Zbl 1360.90188
Drusvyatskiy, Dmitriy; Li, Guoyin; Wolkowicz, Henry
13
2017
Strong duality for robust minimax fractional programming problems. Zbl 1317.90291
Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S.
12
2013
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
11
2016
Guaranteeing highly robust weakly efficient solutions for uncertain multi-objective convex programs. Zbl 1403.90606
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
11
2018
A new bounded degree hierarchy with SOCP relaxations for global polynomial optimization and conic convex semi-algebraic programs. Zbl 1433.90122
Chuong, T. D.; Jeyakumar, V.; Li, G.
11
2019
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S.
11
2016
Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets. Zbl 1369.90136
Jeyakumar, V.; Kim, S.; Lee, G. M.; Li, G.
11
2016
Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations. Zbl 1421.90104
Bomze, Immanuel M.; Jeyakumar, Vaithilingam; Li, Guoyin
11
2018
Hybrid uncertain natural frequency analysis for structures with random and interval fields. Zbl 1439.74134
Feng, Jinwen; Wu, Di; Gao, Wei; Li, Guoyin
11
2018
Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164
Jeyakumar, V.; Li, G. Y.
10
2014
Robust assessment of collapse resistance of structures under uncertain loads based on info-gap model. Zbl 1415.90156
Wu, D.; Gao, W.; Li, G.; Tangaramvong, S.; Tin-Loi, F.
10
2015
Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach. Zbl 1480.74015
Feng, Jinwen; Wu, Di; Gao, Wei; Li, Guoyin
8
2017
Support vector machine classifiers with uncertain knowledge sets via robust optimization. Zbl 1298.65104
Jeyakumar, V.; Li, G.; Suthaharan, S.
8
2014
Exact conic programming reformulations of two-stage adjustable robust linear programs with new quadratic decision rules. Zbl 1460.90122
Woolnough, D.; Jeyakumar, V.; Li, G.
8
2021
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
7
2017
SOS-convex semialgebraic programs and its applications to robust optimization: a tractable class of nonsmooth convex optimization. Zbl 1393.90083
Chieu, N. H.; Feng, J. W.; Gao, W.; Li, G.; Wu, D.
7
2018
Farkas’ lemma for separable sublinear inequalities without qualifications. Zbl 1206.90082
Jeyakumar, V.; Li, G. Y.
7
2009
New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. Zbl 1239.90084
Jeyakumar, Vaithilingam; Li, Guo Yin
7
2009
Qualification-free optimality conditions for convex programs with separable inequality constraints. Zbl 1182.49016
Li, G. Y.; Jeyakumar, V.
7
2009
Global quadratic minimization over bivalent constraints: necessary and sufficient global optimality condition. Zbl 1262.90121
Li, Guoyin
6
2012
Extrapolated proximal subgradient algorithms for nonconvex and nonsmooth fractional programs. Zbl 1501.90071
Boţ, Radu Ioan; Dao, Minh N.; Li, Guoyin
6
2022
Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems. Zbl 1230.90145
Jeyakumar, V.; Li, Guoyin
5
2011
A new version of the Liu-Storey conjugate gradient method. Zbl 1128.65045
Tang, Chun-Ming; Wei, Zeng-Xin; Li, Guo-Yin
5
2007
Unified approach to some geometric results in variational analysis. Zbl 1130.49027
Li, Guoyin; Ng, Kung Fu; Zheng, Xi Yin
5
2007
Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty. Zbl 1288.90058
Jeyakumar, V.; Li, G. Y.
5
2013
A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs. Zbl 1408.90226
Jeyakumar, V.; Li, G.
5
2015
A proximal-projection partial bundle method for convex constrained minimax problems. Zbl 1438.90387
Tang, Chunming; Jian, Jinbao; Li, Guoyin
4
2019
Positive semi-definiteness of generalized anti-circulant tensors. Zbl 1353.15026
Li, Guoyin; Qi, Liqun; Wang, Qun
4
2016
Global optimality principles for polynomial optimization over box or bivalent constraints by separable polynomial approximations. Zbl 1319.90052
Jeyakumar, V.; Li, G.; Srisatkunarajah, S.
4
2014
Robust least square semidefinite programming with applications. Zbl 1330.90061
Li, Guoyin; Ma, Alfred Ka Chun; Pong, Ting Kei
4
2014
Robust optimization and data classification for characterization of Huntington disease onset via duality methods. Zbl 1492.90113
Woolnough, Daniel; Jeyakumar, Niroshan; Li, Guoyin; Loy, Clement T.; Jeyakumar, Vaithilingam
4
2022
The radius of robust feasibility of uncertain mathematical programs: a survey and recent developments. Zbl 1490.90208
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
4
2022
Calculating radius of robust feasibility of uncertain linear conic programs via semi-definite programs. Zbl 1470.90061
Goberna, M. A.; Jeyakumar, V.; Li, G.
4
2021
A convergent hierarchy of SDP relaxations for a class of hard robust global polynomial optimization problems. Zbl 1409.90182
Chieu, N. H.; Jeyakumar, V.; Li, G.
3
2017
Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality. Zbl 1430.90467
Chieu, N. H.; Jeyakumar, V.; Li, Guoyin
3
2020
A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints. Zbl 1455.90125
Chieu, N. H.; Chuong, T. D.; Jeyakumar, V.; Li, G.
3
2019
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
3
2017
A working set SQCQP algorithm with simple nonmonotone penalty parameters. Zbl 1236.65069
Tang, Chun-Ming; Jian, Jin-Bao; Li, Guo-Yin
3
2011
A note on nonconvex minimax theorem with separable homogeneous polynomials. Zbl 1229.49008
Li, G. Y.
3
2011
Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: exact second-order cone program reformulations. Zbl 1530.90069
Jeyakumar, V.; Li, G.; Woolnough, D.
3
2021
\(\mathrm{B}\)-subdifferentials of the projection onto the matrix simplex. Zbl 1510.65117
Hu, Shenglong; Li, Guoyin
3
2021
Exact conic programming relaxations for a class of convex polynomial cone programs. Zbl 1388.90093
Jeyakumar, Vaithilingam; Li, Guoyin
2
2017
Glogal optimality conditions for classes of non-convex multi-objective quadratic optimization problems. Zbl 1236.90111
Jeyakumar, V.; Lee, G. M.; Li, G.
2
2010
Inertial proximal block coordinate method for a class of nonsmooth sum-of-ratios optimization problems. Zbl 1519.90182
Boţ, Radu Ioan; Dao, Minh N.; Li, Guoyin
2
2023
Inertial proximal block coordinate method for a class of nonsmooth sum-of-ratios optimization problems. Zbl 1519.90182
Boţ, Radu Ioan; Dao, Minh N.; Li, Guoyin
2
2023
Kurdyka-Łojasiewicz exponent via inf-projection. Zbl 1501.90047
Yu, Peiran; Li, Guoyin; Pong, Ting Kei
15
2022
Extrapolated proximal subgradient algorithms for nonconvex and nonsmooth fractional programs. Zbl 1501.90071
Boţ, Radu Ioan; Dao, Minh N.; Li, Guoyin
6
2022
Robust optimization and data classification for characterization of Huntington disease onset via duality methods. Zbl 1492.90113
Woolnough, Daniel; Jeyakumar, Niroshan; Li, Guoyin; Loy, Clement T.; Jeyakumar, Vaithilingam
4
2022
The radius of robust feasibility of uncertain mathematical programs: a survey and recent developments. Zbl 1490.90208
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
4
2022
Exact dual semi-definite programs for affinely adjustable robust SOS-convex polynomial optimization problems. Zbl 1508.90054
Chuong, T. D.; Jeyakumar, V.; Li, G.; Woolnough, D.
2
2022
Polymorphic uncertainty quantification for engineering structures via a hyperplane modelling technique. Zbl 1507.74279
Wang, Qihan; Feng, Yuan; Wu, Di; Li, Guoyin; Liu, Zhenyu; Gao, Wei
1
2022
Quadratic growth conditions and uniqueness of optimal solution to Lasso. Zbl 1494.65037
Bello-Cruz, Yunier; Li, Guoyin; Nghia, Tran Thai An
1
2022
Exact conic programming reformulations of two-stage adjustable robust linear programs with new quadratic decision rules. Zbl 1460.90122
Woolnough, D.; Jeyakumar, V.; Li, G.
8
2021
Calculating radius of robust feasibility of uncertain linear conic programs via semi-definite programs. Zbl 1470.90061
Goberna, M. A.; Jeyakumar, V.; Li, G.
4
2021
Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: exact second-order cone program reformulations. Zbl 1530.90069
Jeyakumar, V.; Li, G.; Woolnough, D.
3
2021
\(\mathrm{B}\)-subdifferentials of the projection onto the matrix simplex. Zbl 1510.65117
Hu, Shenglong; Li, Guoyin
3
2021
Exact SDP reformulations of adjustable robust linear programs with box uncertainties under separable quadratic decision rules via SOS representations of non-negativity. Zbl 1481.90239
Chuong, T. D.; Jeyakumar, V.; Li, G.; Woolnough, D.
2
2021
A virtual model architecture for engineering structures with twin extended support vector regression (T-X-SVR) method. Zbl 1507.62263
Wang, Qihan; Wu, Di; Li, Guoyin; Gao, Wei
2
2021
On the linear convergence of forward-backward splitting method. I: Convergence analysis. Zbl 1471.65047
Bello-Cruz, Yunier; Li, Guoyin; Nghia, Tran T. A.
2
2021
Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality. Zbl 1430.90467
Chieu, N. H.; Jeyakumar, V.; Li, Guoyin
3
2020
Nonlinear behaviour and stability of functionally graded porous arches with graphene platelets reinforcements. Zbl 1425.74232
Liu, Zhanpeng; Yang, Chengwei; Gao, Wei; Wu, Di; Li, Guoyin
26
2019
A new bounded degree hierarchy with SOCP relaxations for global polynomial optimization and conic convex semi-algebraic programs. Zbl 1433.90122
Chuong, T. D.; Jeyakumar, V.; Li, G.
11
2019
A proximal-projection partial bundle method for convex constrained minimax problems. Zbl 1438.90387
Tang, Chunming; Jian, Jinbao; Li, Guoyin
4
2019
A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints. Zbl 1455.90125
Chieu, N. H.; Chuong, T. D.; Jeyakumar, V.; Li, G.
3
2019
Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods. Zbl 1405.90076
Li, Guoyin; Pong, Ting Kei
96
2018
A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. Zbl 1438.65060
Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun
37
2018
Convergence rate analysis for the higher order power method in best rank one approximations of tensors. Zbl 1404.65035
Hu, Shenglong; Li, Guoyin
17
2018
Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates. Zbl 1400.90251
Li, G.; Mordukhovich, B. S.; Nghia, T. T. A.; Phạm, T. S.
17
2018
Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems. Zbl 1396.90064
Jeyakumar, V.; Li, G.
14
2018
Constraint qualifications for convex optimization without convexity of constraints: new connections and applications to best approximation. Zbl 1374.90354
Chieu, N. H.; Jeyakumar, V.; Li, G.; Mohebi, H.
13
2018
Guaranteeing highly robust weakly efficient solutions for uncertain multi-objective convex programs. Zbl 1403.90606
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
11
2018
Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations. Zbl 1421.90104
Bomze, Immanuel M.; Jeyakumar, Vaithilingam; Li, Guoyin
11
2018
Hybrid uncertain natural frequency analysis for structures with random and interval fields. Zbl 1439.74134
Feng, Jinwen; Wu, Di; Gao, Wei; Li, Guoyin
11
2018
SOS-convex semialgebraic programs and its applications to robust optimization: a tractable class of nonsmooth convex optimization. Zbl 1393.90083
Chieu, N. H.; Feng, J. W.; Gao, W.; Li, G.; Wu, D.
7
2018
Convergence rate analysis for averaged fixed point iterations in common fixed point problems. Zbl 1361.90045
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K.
39
2017
Peaceman-Rachford splitting for a class of nonconvex optimization problems. Zbl 1387.90198
Li, Guoyin; Liu, Tianxiang; Pong, Ting Kei
17
2017
A note on alternating projections for ill-posed semidefinite feasibility problems. Zbl 1360.90188
Drusvyatskiy, Dmitriy; Li, Guoyin; Wolkowicz, Henry
13
2017
Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach. Zbl 1480.74015
Feng, Jinwen; Wu, Di; Gao, Wei; Li, Guoyin
8
2017
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
7
2017
A convergent hierarchy of SDP relaxations for a class of hard robust global polynomial optimization problems. Zbl 1409.90182
Chieu, N. H.; Jeyakumar, V.; Li, G.
3
2017
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
3
2017
Exact conic programming relaxations for a class of convex polynomial cone programs. Zbl 1388.90093
Jeyakumar, Vaithilingam; Li, Guoyin
2
2017
Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems. Zbl 1346.90584
Li, Guoyin; Pong, Ting Kei
72
2016
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
16
2016
Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints. Zbl 1408.90235
Goberna, M. A.; Jeyakumar, V.; Li, G.; Linh, N.
16
2016
A tensor analogy of Yuan’s theorem of the alternative and polynomial optimization with sign structure. Zbl 1338.90317
Hu, Shenglong; Li, Guoyin; Qi, Liqun
14
2016
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
11
2016
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S.
11
2016
Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets. Zbl 1369.90136
Jeyakumar, V.; Kim, S.; Lee, G. M.; Li, G.
11
2016
Positive semi-definiteness of generalized anti-circulant tensors. Zbl 1353.15026
Li, Guoyin; Qi, Liqun; Wang, Qun
4
2016
Global convergence of splitting methods for nonconvex composite optimization. Zbl 1330.90087
Li, Guoyin; Pong, Ting Kei
121
2015
Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
54
2015
New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors. Zbl 1327.90237
Li, G.; Mordukhovich, B. S.; Phạm, T. S.
42
2015
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
38
2015
Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452
Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
33
2015
A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302
Jeyakumar, V.; Li, G.
19
2015
Robust assessment of collapse resistance of structures under uncertain loads based on info-gap model. Zbl 1415.90156
Wu, D.; Gao, W.; Li, G.; Tangaramvong, S.; Tin-Loi, F.
10
2015
A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs. Zbl 1408.90226
Jeyakumar, V.; Li, G.
5
2015
Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105
Jeyakumar, V.; Li, G. Y.
58
2014
A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs. Zbl 1291.90315
Yuan, Gonglin; Wei, Zengxin; Li, Guoyin
48
2014
Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty. Zbl 1325.90081
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
41
2014
Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. Zbl 1296.41011
Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin
39
2014
On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208
Jeyakumar, V.; Lasserre, J. B.; Li, G.
23
2014
Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness. Zbl 1408.90227
Jeyakumar, V.; Phạm, T. S.; Li, G.
17
2014
Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164
Jeyakumar, V.; Li, G. Y.
10
2014
Support vector machine classifiers with uncertain knowledge sets via robust optimization. Zbl 1298.65104
Jeyakumar, V.; Li, G.; Suthaharan, S.
8
2014
Global optimality principles for polynomial optimization over box or bivalent constraints by separable polynomial approximations. Zbl 1319.90052
Jeyakumar, V.; Li, G.; Srisatkunarajah, S.
4
2014
Robust least square semidefinite programming with applications. Zbl 1330.90061
Li, Guoyin; Ma, Alfred Ka Chun; Pong, Ting Kei
4
2014
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
76
2013
Global error bounds for piecewise convex polynomials. Zbl 1270.90080
Li, Guoyin
46
2013
Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204
Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A.
36
2013
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
27
2013
Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming. Zbl 1274.90258
Hu, Shenglong; Li, Guoyin; Qi, Liqun; Song, Yisheng
19
2013
Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application. Zbl 1260.15010
Li, Guoyin; Qi, Liqun; Yu, Gaohang
19
2013
Some robust convex programs without a duality gap. Zbl 1277.90086
Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua
13
2013
Strong duality for robust minimax fractional programming problems. Zbl 1317.90291
Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S.
12
2013
Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty. Zbl 1288.90058
Jeyakumar, V.; Li, G. Y.
5
2013
Robust best approximation with interpolation constraints under ellipsoidal uncertainty: strong duality and nonsmooth Newton methods. Zbl 1263.41016
Jeyakumar, V.; Li, G. Y.; Mordukhovich, B. S.; Wang, J. H.
1
2013
Hölder metric subregularity with applications to proximal point method. Zbl 1260.49069
Li, Guoyin; Mordukhovich, Boris S.
62
2012
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
38
2012
Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047
Jeyakumar, V.; Li, G.
21
2012
Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028
Jeyakumar, V.; Wang, J. H.; Li, G.
15
2012
Global quadratic minimization over bivalent constraints: necessary and sufficient global optimality condition. Zbl 1262.90121
Li, Guoyin
6
2012
Robust conjugate duality for convex optimization under uncertainty with application to data classification. Zbl 1233.90231
Li, G. Y.; Jeyakumar, V.; Lee, G. M.
37
2011
Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252
Jeyakumar, V.; Li, G. Y.
19
2011
Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126
Jeyakumar, V.; Li, G. Y.
17
2011
A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty. Zbl 1218.91006
Jeyakumar, V.; Li, G. Y.; Lee, G. M.
17
2011
Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232
Jeyakumar, V.; Li, G.
16
2011
Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems. Zbl 1230.90145
Jeyakumar, V.; Li, Guoyin
5
2011
A working set SQCQP algorithm with simple nonmonotone penalty parameters. Zbl 1236.65069
Tang, Chun-Ming; Jian, Jin-Bao; Li, Guo-Yin
3
2011
A note on nonconvex minimax theorem with separable homogeneous polynomials. Zbl 1229.49008
Li, G. Y.
3
2011
Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075
Jeyakumar, V.; Li, G. Y.
90
2010
Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067
Jeyakumar, V.; Li, Guoyin
35
2010
On the asymptotically well behaved functions and global error bound for convex polynomials. Zbl 1208.90135
Li, Guoyin
30
2010
Error bound results for generalized D-gap functions of nonsmooth variational inequality problems. Zbl 1204.65080
Li, Guoyin; Tang, Chunming; Wei, Zengxin
13
2010
Glogal optimality conditions for classes of non-convex multi-objective quadratic optimization problems. Zbl 1236.90111
Jeyakumar, V.; Lee, G. M.; Li, G.
2
2010
New strong duality results for convex programs with separable constraints. Zbl 1229.90124
Jeyakumar, V.; Li, G.
1
2010
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
45
2009
Error bounds of generalized D-gap functions for nonsmooth and nonmonotone variational inequality problems. Zbl 1194.65088
Li, Guoyin; Ng, Kung Fu
38
2009
Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141
Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin
22
2009
Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134
Jeyakumar, V.; Li, G. Y.
16
2009
Farkas’ lemma for separable sublinear inequalities without qualifications. Zbl 1206.90082
Jeyakumar, V.; Li, G. Y.
7
2009
New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. Zbl 1239.90084
Jeyakumar, Vaithilingam; Li, Guo Yin
7
2009
Qualification-free optimality conditions for convex programs with separable inequality constraints. Zbl 1182.49016
Li, G. Y.; Jeyakumar, V.
7
2009
...and 9 more Documents
all top 5

Cited by 1,676 Authors

84 Li, Guoyin
62 Jeyakumar, Vaithilingam
39 Yuan, Gonglin
37 Qi, Liqun
30 Thai Doan Chuong
23 Babaie-Kafaki, Saman
23 Chen, Haibin
23 Lee, Gue Myung
21 Hu, ShengLong
20 Jian, Jinbao
20 Pong, Ting Kei
19 Goberna, Miguel Angel
19 Lee, Jae Hyoung
19 Wei, Zengxin
15 Sun, Xiangkai
14 Gao, Wei
14 Phạm Tiên So’n
14 Wu, Di
13 López-Cerdá, Marco Antonio
12 Jiao, Liguo
12 Wang, Yiju
11 Boţ, Radu Ioan
11 Kruger, Alexander Y.
11 Li, Shengjie
11 Volle, Michel
11 Yao, Jen-Chih
11 Zhou, Guanglu
10 Huang, Zheng-Hai
10 Wang, Xiaoliang
10 Yu, Gaohang
9 Flores-Bazán, Fabián
9 Ghanbari, Reza
9 Salahi, Maziar
9 Wangkeeree, Rabian
8 Aminifard, Zohre
8 Chen, Chunrong
8 Chen, Jiawei
8 Han, Deren
8 Li, Chaoqian
8 Li, Xiaobing
8 Reich, Simeon
8 Sheng, Zhou
8 Song, Yisheng
8 Teo, Kok Lay
8 Wei, Yimin
8 Zalas, Rafał
7 Chao, Miantao
7 Dong, Xiaoliang
7 Hu, Yaohua
7 Li, Chong
7 Li, Minghua
7 Locatelli, Marco
7 Lu, Xiwen
7 Luke, David Russell
7 Ma, Guodong
7 Schöbel, Anita
7 Tang, Chunming
7 Vicente-Pérez, José
7 Wang, Jinhua
7 Waziri, Mohammed Yusuf
7 Woolnough, Daniel
7 Zheng, Xiyin
6 Ahmed, Kabiru
6 Bomze, Immanuel M.
6 Che, Haitao
6 Dao, Minh Ngoc
6 Liu, Pengjie
6 Liu, Tianxiang
6 Long, Dang Hai
6 Lourenço, Bruno F.
6 Mohebi, Hossein
6 Mordukhovich, Boris S.
6 Ng, Michael Kwok-Po
6 Ou, Yigui
6 Patrinos, Panagiotis
6 Soleimani-damaneh, Majid
6 Tam, Matthew K.
6 Tao, Min
6 Themelis, Andreas
6 Wang, Gang
6 Wang, Haijun
6 Wang, Shawn Xianfu
6 Wu, Zhiyou
6 Xiao, Yunhai
6 Yang, Qingzhi
6 Yang, Xiaoqi
6 Zhang, Binbin
6 Zhu, Jiangxing
5 Al-Homidan, Suliman S.
5 Bidabadi, Narges
5 Chen, Xiaojun
5 Chieu, Nguyen Huy
5 Csetnek, Ernö Robert
5 Jayswal, Anurag
5 Jiang, Xianzhen
5 Kılınç Karzan, Fatma
5 Kim, Do Sang
5 Li, Xiangrong
5 Lindstrom, Scott B.
5 Liu, Hao
...and 1,576 more Authors
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Cited in 204 Serials

109 Journal of Optimization Theory and Applications
86 SIAM Journal on Optimization
57 Journal of Global Optimization
53 Optimization
52 Mathematical Programming. Series A. Series B
40 Optimization Letters
39 Computational Optimization and Applications
36 Journal of Computational and Applied Mathematics
34 Journal of Industrial and Management Optimization
33 European Journal of Operational Research
30 Journal of Inequalities and Applications
29 Applied Mathematics and Computation
25 Numerical Algorithms
22 Operations Research Letters
21 Set-Valued and Variational Analysis
17 Numerical Functional Analysis and Optimization
17 Computational and Applied Mathematics
17 Optimization Methods & Software
15 Applied Mathematical Modelling
14 Computer Methods in Applied Mechanics and Engineering
14 Linear Algebra and its Applications
14 Positivity
13 Mathematics of Operations Research
13 Journal of Scientific Computing
13 Annals of Operations Research
13 Journal of Applied Mathematics and Computing
12 Numerical Linear Algebra with Applications
12 Mathematical Problems in Engineering
11 International Journal of Computer Mathematics
11 SIAM Journal on Imaging Sciences
10 Mathematical Methods of Operations Research
10 Frontiers of Mathematics in China
10 Journal of the Operations Research Society of China
9 Linear and Multilinear Algebra
9 Applied Numerical Mathematics
9 SIAM Journal on Matrix Analysis and Applications
9 Vietnam Journal of Mathematics
8 International Journal of Engineering Science
7 Science China. Mathematics
6 Computers & Mathematics with Applications
6 Inverse Problems
6 Journal of Mathematical Analysis and Applications
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Asia-Pacific Journal of Operational Research
6 SIAM Journal on Scientific Computing
6 Journal of Convex Analysis
6 Advances in Computational Mathematics
6 Journal of Applied Mathematics
6 4OR
6 Numerical Algebra, Control and Optimization
5 Applicable Analysis
5 Calcolo
5 Information Sciences
5 Abstract and Applied Analysis
5 Journal of Machine Learning Research (JMLR)
5 International Journal of Structural Stability and Dynamics
5 Journal of Mathematical Modeling
4 Applied Mathematics and Optimization
4 Numerische Mathematik
4 Applied Mathematics Letters
4 Journal of Mathematical Imaging and Vision
4 Top
4 Complexity
4 Foundations of Computational Mathematics
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Thai Journal of Mathematics
4 Journal of Nonlinear and Variational Analysis
4 SIAM Journal on Mathematics of Data Science
3 Acta Mechanica
3 Bulletin of the Australian Mathematical Society
3 Bulletin of the Iranian Mathematical Society
3 Neural Networks
3 Filomat
3 INFORMS Journal on Computing
3 European Journal of Mechanics. A. Solids
3 RAIRO. Operations Research
3 Journal of Fixed Point Theory and Applications
3 Arabian Journal of Mathematics
3 Open Mathematics
3 SN Operations Research Forum
2 International Journal of Control
2 Acta Mathematica Vietnamica
2 Automatica
2 Journal of Approximation Theory
2 Kybernetika
2 Opsearch
2 Optimal Control Applications & Methods
2 Journal of Computational Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Robust and Nonlinear Control
2 International Journal of Computer Vision
2 Engineering Analysis with Boundary Elements
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 Taiwanese Journal of Mathematics
2 Journal of Combinatorial Optimization
2 Communications in Nonlinear Science and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
...and 104 more Serials
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Cited in 44 Fields

1,013 Operations research, mathematical programming (90-XX)
481 Numerical analysis (65-XX)
296 Calculus of variations and optimal control; optimization (49-XX)
156 Linear and multilinear algebra; matrix theory (15-XX)
79 Operator theory (47-XX)
57 Mechanics of deformable solids (74-XX)
44 Information and communication theory, circuits (94-XX)
29 Combinatorics (05-XX)
29 Computer science (68-XX)
28 Real functions (26-XX)
24 Statistics (62-XX)
21 Convex and discrete geometry (52-XX)
16 Algebraic geometry (14-XX)
16 Approximations and expansions (41-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Functional analysis (46-XX)
12 Systems theory; control (93-XX)
11 Ordinary differential equations (34-XX)
11 Probability theory and stochastic processes (60-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Biology and other natural sciences (92-XX)
8 General topology (54-XX)
7 Partial differential equations (35-XX)
7 Differential geometry (53-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 General and overarching topics; collections (00-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Mathematical logic and foundations (03-XX)
4 Commutative algebra (13-XX)
4 Nonassociative rings and algebras (17-XX)
4 Mechanics of particles and systems (70-XX)
3 Field theory and polynomials (12-XX)
3 Fluid mechanics (76-XX)
3 Quantum theory (81-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

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