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Li, Guoyin

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Author ID: li.guoyin Recent zbMATH articles by "Li, Guoyin"
Published as: Li, G.; Li, G. Y.; Li, Guo Yin; Li, Guo-Yin; Li, Guoyin
Documents Indexed: 139 Publications since 1988

Publications by Year

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118 Publications have been cited 1,510 times in 891 Documents Cited by Year
New conjugacy condition and related new conjugate gradient methods for unconstrained optimization. Zbl 1116.65069
Li, Guoyin; Tang, Chunming; Wei, Zengxin
63
2007
New quasi-Newton methods for unconstrained optimization problems. Zbl 1100.65054
Wei, Zengxin; Li, Guoyin; Qi, Liqun
62
2006
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
57
2013
Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075
Jeyakumar, V.; Li, G. Y.
55
2010
Global convergence of splitting methods for nonconvex composite optimization. Zbl 1330.90087
Li, Guoyin; Pong, Ting Kei
53
2015
Hölder metric subregularity with applications to proximal point method. Zbl 1260.49069
Li, Guoyin; Mordukhovich, Boris S.
40
2012
Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105
Jeyakumar, V.; Li, G. Y.
38
2014
Alternative theorems for quadratic inequality systems and global quadratic optimization. Zbl 1197.90315
Jeyakumar, V.; Lee, G. M.; Li, G. Y.
38
2009
Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
35
2015
A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs. Zbl 1291.90315
Yuan, Gonglin; Wei, Zengxin; Li, Guoyin
33
2014
Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems. Zbl 1346.90584
Li, Guoyin; Pong, Ting Kei
32
2016
Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067
Jeyakumar, V.; Li, Guoyin
30
2010
Error bounds of generalized D-gap functions for nonsmooth and nonmonotone variational inequality problems. Zbl 1194.65088
Li, Guoyin; Ng, Kung Fu
29
2009
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
28
2008
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems. Zbl 1106.65055
Wei, Zengxin; Li, Guoyin; Qi, Liqun
28
2006
Global error bounds for piecewise convex polynomials. Zbl 1270.90080
Li, Guoyin
27
2013
Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems. Zbl 1023.93034
Ge, S. S.; Li, G. Y.; Lee, T. H.
26
2003
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.
23
2015
Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204
Goberna, 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 1233.90231
Li, G. Y.; Jeyakumar, V.; Lee, G. M.
23
2011
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.
22
2014
On the asymptotically well behaved functions and global error bound for convex polynomials. Zbl 1208.90135
Li, Guoyin
21
2010
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
20
2014
Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141
Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin
20
2009
On extension of Fenchel duality and its application. Zbl 1190.90249
Li, Guoyin; Fu, Ng Kung
18
2008
Global convergence of modified Polak-Ribière-Polyak conjugate gradient methods with sufficient descent property. Zbl 1168.65030
Yu, Gaohang; Guan, Lutai; Li, Guoyin
18
2008
A stable node-based smoothed finite element method for acoustic problems. Zbl 1423.76285
Wang, G.; Cui, X. Y.; Feng, H.; Li, G. Y.
17
2015
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
17
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
17
2013
Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle. Zbl 0850.73281
Chang, T. Y. P.; Saleeb, A. F.; Li, G.
17
1991
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
16
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.
16
2017
Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452
Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
16
2015
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
16
2013
Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047
Jeyakumar, V.; Li, G.
16
2012
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
15
2018
A stable nodal integration method with strain gradient for static and dynamic analysis of solid mechanics. Zbl 1403.65069
Feng, H.; Cui, X. Y.; Li, G. Y.
15
2016
On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208
Jeyakumar, V.; Lasserre, J. B.; Li, G.
15
2014
Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application. Zbl 1260.15010
Li, Guoyin; Qi, Liqun; Yu, Gaohang
15
2013
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
15
2012
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.
15
2011
Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126
Jeyakumar, V.; Li, G. Y.
14
2011
Adaptive NN control for a class of discrete-time nonlinear systems. Zbl 1048.93055
Ge, S. S.; Lee, T. H.; Li, G. Y.; Zhang, J.
14
2003
A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302
Jeyakumar, V.; Li, G.
13
2015
A temporal stable node-based smoothed finite element method for three-dimensional elasticity problems. Zbl 1398.74462
Feng, H.; Cui, X. Y.; Li, G. Y.; Feng, S. Z.
13
2014
Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252
Jeyakumar, V.; Li, G. Y.
13
2011
Multi-dimensional classification with Bayesian networks. Zbl 1226.68078
Bielza, C.; Li, G.; Larrañaga, P.
13
2011
Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134
Jeyakumar, V.; Li, G. Y.
13
2009
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
12
2016
A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells. Zbl 1403.74325
Wang, G.; Cui, X. Y.; Liang, Z. M.; Li, G. Y.
12
2015
Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232
Jeyakumar, V.; Li, G.
12
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.
11
2014
Direct adaptive control for a class of MIMO nonlinear systems using neural networks. Zbl 1365.93262
Ge, S. S.; Li, G. Y.; Zhang, J.; Lee, T. H.
11
2004
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
10
2016
Some robust convex programs without a duality gap. Zbl 1277.90086
Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua
10
2013
Error bound results for generalized D-gap functions of nonsmooth variational inequality problems. Zbl 1204.65080
Li, Guoyin; Tang, Chunming; Wei, Zengxin
10
2010
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
9
2019
Peaceman-Rachford splitting for a class of nonconvex optimization problems. Zbl 1387.90198
Li, Guoyin; Liu, Tianxiang; Pong, Ting Kei
8
2017
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.
8
2016
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.
8
2015
A cell-based smoothed radial point interpolation method (CS-RPIM) for heat transfer analysis. Zbl 1297.80009
Cui, X. Y.; Feng, S. Z.; Li, G. Y.
8
2014
Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164
Jeyakumar, V.; Li, G. Y.
8
2014
Strong duality for robust minimax fractional programming problems. Zbl 1317.90291
Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S.
8
2013
Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028
Jeyakumar, V.; Wang, J. H.; Li, G.
8
2012
A cell-based smoothed radial point interpolation method (CS-RPIM) for three-dimensional solids. Zbl 1403.74284
Cui, X. Y.; Feng, H.; Li, G. Y.; Feng, S. Z.
7
2015
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.
6
2018
A nodal integration axisymmetric thin shell model using linear interpolation. Zbl 1452.74075
Cui, X. Y.; Wang, G.; Li, G. Y.
6
2016
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S.
6
2016
Support vector machine classifiers with uncertain knowledge sets via robust optimization. Zbl 1298.65104
Jeyakumar, V.; Li, G.; Suthaharan, S.
6
2014
Qualification-free optimality conditions for convex programs with separable inequality constraints. Zbl 1182.49016
Li, G. Y.; Jeyakumar, V.
6
2009
A structural method for hamiltonian graphs. Zbl 0833.05057
Li, G.; Wei, B.; Gao, T.
6
1995
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
5
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.
5
2016
Global quadratic minimization over bivalent constraints: necessary and sufficient global optimality condition. Zbl 1262.90121
Li, Guoyin
5
2012
New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. Zbl 1239.90084
Jeyakumar, Vaithilingam; Li, Guo Yin
5
2009
Farkas’ lemma for separable sublinear inequalities without qualifications. Zbl 1206.90082
Jeyakumar, V.; Li, G. Y.
5
2009
A new version of the Liu-Storey conjugate gradient method. Zbl 1128.65045
Tang, Chun-Ming; Wei, Zeng-Xin; Li, Guo-Yin
5
2007
Convergence rate analysis for the higher order power method in best rank one approximations of tensors. Zbl 1404.65035
Hu, Shenglong; Li, Guoyin
4
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
4
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.
4
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.
4
2018
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
4
2017
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
Nodal integration thin plate formulation using linear interpolation and triangular cells. Zbl 1245.74040
Cui, X. Y.; Lin, S.; Li, G. Y.
4
2011
Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems. Zbl 1230.90145
Jeyakumar, V.; Li, Guoyin
4
2011
Unified approach to some geometric results in variational analysis. Zbl 1130.49027
Li, Guoyin; Ng, Kung Fu; Zheng, Xi Yin
4
2007
Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems. Zbl 1396.90064
Jeyakumar, V.; Li, G.
3
2018
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
3
2017
A note on alternating projections for ill-posed semidefinite feasibility problems. Zbl 1360.90188
Drusvyatskiy, Dmitriy; Li, Guoyin; Wolkowicz, Henry
3
2017
Robust least square semidefinite programming with applications. Zbl 1330.90061
Li, Guoyin; Ma, Alfred Ka Chun; Pong, Ting Kei
3
2014
Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty. Zbl 1288.90058
Jeyakumar, V.; Li, G. Y.
3
2013
Free vibration analysis of sandwich plates with laminated faces using spline finite point method. Zbl 0918.73345
Zhou, H. B.; Li, G. Y.
3
1996
Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality. Zbl 1430.90467
Chieu, N. H.; Jeyakumar, V.; Li, Guoyin
2
2020
An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh. Zbl 1439.74404
Cui, X. Y.; Hu, X.; Wang, G.; Li, G. Y.
2
2017
Exact conic programming relaxations for a class of convex polynomial cone programs. Zbl 1388.90093
Jeyakumar, Vaithilingam; Li, Guoyin
2
2017
A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs. Zbl 1408.90226
Jeyakumar, V.; Li, G.
2
2015
A note on nonconvex minimax theorem with separable homogeneous polynomials. Zbl 1229.49008
Li, G. Y.
2
2011
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
A multilevel component mode synthesis approach for the calculation of the phonon density of states of nanocomposite structures. Zbl 1310.74003
Li, G.
2
2008
Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality. Zbl 1430.90467
Chieu, N. H.; Jeyakumar, V.; Li, Guoyin
2
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
9
2019
A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints. Zbl 07165838
Chieu, N. H.; Chuong, T. D.; Jeyakumar, V.; Li, G.
1
2019
A proximal-projection partial bundle method for convex constrained minimax problems. Zbl 1438.90387
Tang, Chunming; Jian, Jinbao; Li, Guoyin
1
2019
A novel 3D variational aeroelastic framework for flexible multibody dynamics: application to bat-like flapping dynamics. Zbl 1410.76490
Li, G.; Law, Y. Z.; Jaiman, R. K.
1
2019
Finite beam elements based on Legendre polynomial expansions and node-dependent kinematics for the global-local analysis of composite structures. Zbl 1406.74635
Li, G.; de Miguel, A. G.; Pagani, A.; Zappino, Enrico; Carrera, E.
1
2019
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
16
2018
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
15
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.
6
2018
Convergence rate analysis for the higher order power method in best rank one approximations of tensors. Zbl 1404.65035
Hu, Shenglong; Li, Guoyin
4
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
4
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.
4
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.
4
2018
Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems. Zbl 1396.90064
Jeyakumar, V.; Li, G.
3
2018
Hybrid uncertain natural frequency analysis for structures with random and interval fields. Zbl 1439.74134
Feng, Jinwen; Wu, Di; Gao, Wei; Li, Guoyin
1
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.
16
2017
Peaceman-Rachford splitting for a class of nonconvex optimization problems. Zbl 1387.90198
Li, Guoyin; Liu, Tianxiang; Pong, Ting Kei
8
2017
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. Zbl 1371.15010
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin
4
2017
New classes of positive semi-definite Hankel tensors. Zbl 1409.15008
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi
3
2017
A note on alternating projections for ill-posed semidefinite feasibility problems. Zbl 1360.90188
Drusvyatskiy, Dmitriy; Li, Guoyin; Wolkowicz, Henry
3
2017
An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh. Zbl 1439.74404
Cui, X. Y.; Hu, X.; Wang, G.; Li, G. Y.
2
2017
Exact conic programming relaxations for a class of convex polynomial cone programs. Zbl 1388.90093
Jeyakumar, Vaithilingam; Li, Guoyin
2
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.
1
2017
Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems. Zbl 1346.90584
Li, Guoyin; Pong, Ting Kei
32
2016
A stable nodal integration method with strain gradient for static and dynamic analysis of solid mechanics. Zbl 1403.65069
Feng, H.; Cui, X. Y.; Li, G. Y.
15
2016
SOS tensor decomposition: theory and applications. Zbl 1351.90148
Chen, Haibin; Li, Guoyin; Qi, Liqun
12
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
10
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.
8
2016
A nodal integration axisymmetric thin shell model using linear interpolation. Zbl 1452.74075
Cui, X. Y.; Wang, G.; Li, G. Y.
6
2016
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S.
6
2016
Further results on Cauchy tensors and Hankel tensors. Zbl 1410.15048
Chen, Haibin; Li, Guoyin; Qi, Liqun
5
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.
5
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
53
2015
Robust solutions to multi-objective linear programs with uncertain data. Zbl 1341.90124
Goberna, M. A.; Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
35
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.
23
2015
A stable node-based smoothed finite element method for acoustic problems. Zbl 1423.76285
Wang, G.; Cui, X. Y.; Feng, H.; Li, G. Y.
17
2015
Characterizing robust solution sets of convex programs under data uncertainty. Zbl 1307.90136
Jeyakumar, V.; Lee, G. M.; Li, G.
17
2015
Robust SOS-convex polynomial optimization problems: exact SDP relaxations. Zbl 1338.90452
Jeyakumar, V.; Li, G.; Vicente-Pérez, J.
16
2015
A new class of alternative theorems for SOS-convex inequalities and robust optimization. Zbl 1338.90302
Jeyakumar, V.; Li, G.
13
2015
A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells. Zbl 1403.74325
Wang, G.; Cui, X. Y.; Liang, Z. M.; Li, G. Y.
12
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.
8
2015
A cell-based smoothed radial point interpolation method (CS-RPIM) for three-dimensional solids. Zbl 1403.74284
Cui, X. Y.; Feng, H.; Li, G. Y.; Feng, S. Z.
7
2015
A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs. Zbl 1408.90226
Jeyakumar, V.; Li, G.
2
2015
Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization. Zbl 1297.90105
Jeyakumar, V.; Li, G. Y.
38
2014
A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs. Zbl 1291.90315
Yuan, Gonglin; Wei, Zengxin; Li, Guoyin
33
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.
22
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
20
2014
On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208
Jeyakumar, V.; Lasserre, J. B.; Li, G.
15
2014
A temporal stable node-based smoothed finite element method for three-dimensional elasticity problems. Zbl 1398.74462
Feng, H.; Cui, X. Y.; Li, G. Y.; Feng, S. Z.
13
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.
11
2014
A cell-based smoothed radial point interpolation method (CS-RPIM) for heat transfer analysis. Zbl 1297.80009
Cui, X. Y.; Feng, S. Z.; Li, G. Y.
8
2014
Strong duality in robust semi-definite linear programming under data uncertainty. Zbl 1291.90164
Jeyakumar, V.; Li, G. Y.
8
2014
Support vector machine classifiers with uncertain knowledge sets via robust optimization. Zbl 1298.65104
Jeyakumar, V.; Li, G.; Suthaharan, S.
6
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
3
2014
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
57
2013
Global error bounds for piecewise convex polynomials. Zbl 1270.90080
Li, Guoyin
27
2013
Robust linear semi-infinite programming duality under uncertainty. Zbl 1282.90204
Goberna, M. A.; Jeyakumar, V.; Li, G.; López, M. A.
23
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
17
2013
Robust duality in parametric convex optimization. Zbl 1327.90195
Boţ, R. I.; Jeyakumar, V.; Li, G. Y.
16
2013
Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application. Zbl 1260.15010
Li, Guoyin; Qi, Liqun; Yu, Gaohang
15
2013
Some robust convex programs without a duality gap. Zbl 1277.90086
Jeyakumar, Vaithilingam; Li, Guo Yin; Wang, Jinhua
10
2013
Strong duality for robust minimax fractional programming problems. Zbl 1317.90291
Jeyakumar, V.; Li, G. Y.; Srisatkunarajah, S.
8
2013
Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty. Zbl 1288.90058
Jeyakumar, V.; Li, G. Y.
3
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.
40
2012
Exact SDP relaxations for classes of nonlinear semidefinite programming problems. Zbl 1287.90047
Jeyakumar, V.; Li, G.
16
2012
Robust duality for generalized convex programming problems under data uncertainty. Zbl 1254.90154
Jeyakumar, V.; Li, G.; Lee, G. M.
15
2012
Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty. Zbl 1308.41028
Jeyakumar, V.; Wang, J. H.; Li, G.
8
2012
Global quadratic minimization over bivalent constraints: necessary and sufficient global optimality condition. Zbl 1262.90121
Li, Guoyin
5
2012
A multiscale component mode synthesis approach for dynamic analysis of nanostructures. Zbl 1352.74222
Lan, J.; Li, G.
1
2012
Smoothed Galerkin methods using cell-wise strain smoothing technique. Zbl 1351.74080
Cui, X. Y.; Li, G. Y.
1
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.
23
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.
15
2011
Necessary global optimality conditions for nonlinear programming problems with polynomial constraints. Zbl 1206.90126
Jeyakumar, V.; Li, G. Y.
14
2011
Robust duality for fractional programming problems with constraint-wise data uncertainty. Zbl 1242.90252
Jeyakumar, V.; Li, G. Y.
13
2011
Multi-dimensional classification with Bayesian networks. Zbl 1226.68078
Bielza, C.; Li, G.; Larrañaga, P.
13
2011
Robust Farkas’ lemma for uncertain linear systems with applications. Zbl 1242.90232
Jeyakumar, V.; Li, G.
12
2011
Nodal integration thin plate formulation using linear interpolation and triangular cells. Zbl 1245.74040
Cui, X. Y.; Lin, S.; Li, G. Y.
4
2011
Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems. Zbl 1230.90145
Jeyakumar, V.; Li, Guoyin
4
2011
A note on nonconvex minimax theorem with separable homogeneous polynomials. Zbl 1229.49008
Li, G. Y.
2
2011
A working set SQCQP algorithm with simple nonmonotone penalty parameters. Zbl 1236.65069
Tang, Chun-Ming; Jian, Jin-Bao; Li, Guo-Yin
1
2011
Strong duality in robust convex programming: complete characterizations. Zbl 1228.90075
Jeyakumar, V.; Li, G. Y.
55
2010
Characterizing robust set containments and solutions of uncertain linear programs without qualifications. Zbl 1220.90067
Jeyakumar, V.; Li, Guoyin
30
2010
On the asymptotically well behaved functions and global error bound for convex polynomials. Zbl 1208.90135
Li, Guoyin
21
2010
Error bound results for generalized D-gap functions of nonsmooth variational inequality problems. Zbl 1204.65080
Li, Guoyin; Tang, Chunming; Wei, Zengxin
10
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.
38
2009
Error bounds of generalized D-gap functions for nonsmooth and nonmonotone variational inequality problems. Zbl 1194.65088
Li, Guoyin; Ng, Kung Fu
29
2009
Necessary and sufficient conditions for \(S\)-lemma and nonconvex quadratic optimization. Zbl 1273.90141
Jeyakumar, Vaithilingam; Huy, Nguyen Quang; Li, Guoyin
20
2009
Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs. Zbl 1208.90134
Jeyakumar, V.; Li, G. Y.
13
2009
Qualification-free optimality conditions for convex programs with separable inequality constraints. Zbl 1182.49016
Li, G. Y.; Jeyakumar, V.
6
2009
New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs. Zbl 1239.90084
Jeyakumar, Vaithilingam; Li, Guo Yin
5
2009
Farkas’ lemma for separable sublinear inequalities without qualifications. Zbl 1206.90082
Jeyakumar, V.; Li, G. Y.
5
2009
Fuzzy looperless tension control for hot strip rolling. Zbl 1175.93126
Li, G.; Janabi-Sharifi, F.
1
2009
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
28
2008
On extension of Fenchel duality and its application. Zbl 1190.90249
Li, Guoyin; Fu, Ng Kung
18
2008
Global convergence of modified Polak-Ribière-Polyak conjugate gradient methods with sufficient descent property. Zbl 1168.65030
Yu, Gaohang; Guan, Lutai; Li, Guoyin
18
2008
...and 18 more Documents
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Cited by 1,365 Authors

63 Li, Guoyin
51 Jeyakumar, Vaithilingam
31 Qi, Liqun
25 Yuan, Gonglin
20 Wei, Zengxin
18 Chuong, Thai Doan
17 Babaie-Kafaki, Saman
17 Lee, Gue Myung
15 Goberna, Miguel Angel
12 Hu, ShengLong
12 Lee, Jae Hyoung
12 López-Cerdá, Marco Antonio
11 Pong, Ting Kei
10 Chen, Haibin
10 Cui, Xiangyang
10 Ge, Shuzhi Sam
10 Phạm Tiên So’n
9 Sun, Xiangkai
9 Wu, Di
9 Yu, Gaohang
8 Ghanbari, Reza
8 Volle, Michel
8 Yao, Jen-Chih
7 Chai, Yingbin
7 Jian, Jinbao
7 Kruger, Alexander Ya.
7 Lee, Tong Heng
7 Li, Wei
7 Liu, Gui-Rong
7 Lu, Xiwen
7 Song, Yisheng
7 Zheng, Xiyin
6 Boţ, Radu Ioan
6 Flores-Bazán, Fabián
6 Huang, Zheng-Hai
6 Li, Chaoqian
6 Liu, Hongwei
6 Liu, Yanjun
6 Luke, D. Russell
6 Ng, Kung-Fu
6 Salahi, Maziar
6 Sheng, Zhou
6 Wang, Haijun
6 Wei, Yimin
6 Xiao, Yunhai
5 Chen, Chunrong
5 Chen, Jiawei
5 Dong, Xiaoliang
5 Gong, Zhixiong
5 Jiao, Liguo
5 Li, Guangyao
5 Liu, Hao
5 Livieris, Ioannis E.
5 Pintelas, Panagiotis E.
5 Reich, Simeon
5 Schöbel, Anita
5 Wu, Zhiyou
5 Xu, Yi
5 Yang, Chenguang
5 Yao, Shengwei
5 Zalas, Rafał
5 Zhang, Liping
5 Zhou, Guanglu
4 Aragón Artacho, Francisco Javier
4 Bielza, Concha
4 Burer, Samuel
4 Chen, Jiun-Shyan
4 Chen, Weisheng
4 Chieu, Nguyen Huy
4 Dehghani, Razieh
4 Ding, Weiyang
4 Dinh, Nguyen Pham
4 Han, Deren
4 Jiang, Chen
4 Jiang, Xianzhen
4 Kuroiwa, Daishi
4 Larrañaga, Pedro
4 Li, Shengjie
4 Li, Tianyun
4 Li, Xiaobing
4 Liu, Qilong
4 Liu, Zexian
4 Mordukhovich, Boris S.
4 Ni, Qin
4 Nie, Jiawang
4 Ou, Yigui
4 Sisarat, Nithirat
4 Soleimani-damaneh, Majid
4 Suzuki, Satoshi
4 Tam, Matthew K.
4 Tang, Chunming
4 Teo, Kok Lay
4 Tian, Jing
4 Vicente-Pérez, José
4 Wang, Jinhua
4 Wang, Xiaoliang
4 Wang, Yiju
4 Wangkeeree, Rabian
4 Wei, Hongzhi
4 Yue, Junjie
...and 1,265 more Authors
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Cited in 159 Serials

66 Journal of Optimization Theory and Applications
54 SIAM Journal on Optimization
34 Mathematical Programming. Series A. Series B
32 Journal of Global Optimization
30 Optimization Letters
29 Optimization
27 Applied Mathematics and Computation
26 Journal of Computational and Applied Mathematics
24 European Journal of Operational Research
24 Computational Optimization and Applications
21 Computer Methods in Applied Mechanics and Engineering
20 Engineering Analysis with Boundary Elements
15 Numerical Algorithms
15 Journal of Inequalities and Applications
14 Applied Mathematical Modelling
14 Journal of Industrial and Management Optimization
13 Operations Research Letters
13 Linear Algebra and its Applications
11 Automatica
11 Numerical Functional Analysis and Optimization
11 Computational and Applied Mathematics
11 Mathematical Problems in Engineering
11 Nonlinear Dynamics
11 Optimization Methods & Software
11 International Journal of Computational Methods
10 Computers & Mathematics with Applications
9 Frontiers of Mathematics in China
9 Set-Valued and Variational Analysis
8 Mathematics of Operations Research
8 Annals of Operations Research
7 SIAM Journal on Matrix Analysis and Applications
7 International Journal of Computer Mathematics
7 Positivity
6 International Journal of Engineering Science
6 Linear and Multilinear Algebra
6 Information Sciences
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Computational Mechanics
6 International Journal of Approximate Reasoning
6 Numerical Linear Algebra with Applications
6 Mathematical Methods of Operations Research
6 Journal of Applied Mathematics
6 Journal of Applied Mathematics and Computing
5 Acta Mechanica
5 International Journal of Control
5 Journal of Scientific Computing
5 Vietnam Journal of Mathematics
5 Abstract and Applied Analysis
5 4OR
5 Science China. Mathematics
4 Calcolo
4 International Journal for Numerical Methods in Engineering
4 Applied Numerical Mathematics
4 Journal of Mathematical Imaging and Vision
4 Top
4 European Journal of Mechanics. A. Solids
4 Journal of Machine Learning Research (JMLR)
4 SIAM Journal on Imaging Sciences
3 Applicable Analysis
3 Bulletin of the Australian Mathematical Society
3 Journal of Mathematical Analysis and Applications
3 Applied Mathematics and Optimization
3 Fuzzy Sets and Systems
3 Asia-Pacific Journal of Operational Research
3 Journal of Convex Analysis
3 Complexity
2 Discrete Mathematics
2 Journal of Computational Physics
2 Journal of the Franklin Institute
2 Acta Mathematica Vietnamica
2 Kybernetika
2 Numerische Mathematik
2 Opsearch
2 Systems & Control Letters
2 Bulletin of the Iranian Mathematical Society
2 Pattern Recognition
2 International Journal of Robust and Nonlinear Control
2 SIAM Journal on Scientific Computing
2 Advances in Computational Mathematics
2 Discussiones Mathematicae. Graph Theory
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Combinatorial Optimization
2 Discrete Dynamics in Nature and Society
2 RAIRO. Operations Research
2 Foundations of Computational Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Central European Journal of Mathematics
2 Journal of Control Theory and Applications
2 Inverse Problems in Science and Engineering
2 Numerical Algebra, Control and Optimization
2 Journal of the Operations Research Society of China
2 Journal of Function Spaces
2 Open Mathematics
2 SN Operations Research Forum
1 Artificial Intelligence
1 Discrete Applied Mathematics
1 International Journal of Systems Science
1 Information Processing Letters
1 Israel Journal of Mathematics
1 BIT
...and 59 more Serials
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Cited in 41 Fields

589 Operations research, mathematical programming (90-XX)
327 Numerical analysis (65-XX)
159 Calculus of variations and optimal control; optimization (49-XX)
96 Linear and multilinear algebra; matrix theory (15-XX)
81 Mechanics of deformable solids (74-XX)
47 Systems theory; control (93-XX)
40 Operator theory (47-XX)
34 Computer science (68-XX)
28 Combinatorics (05-XX)
22 Biology and other natural sciences (92-XX)
20 Fluid mechanics (76-XX)
15 Information and communication theory, circuits (94-XX)
14 Real functions (26-XX)
14 Statistics (62-XX)
11 Algebraic geometry (14-XX)
11 Approximations and expansions (41-XX)
9 Probability theory and stochastic processes (60-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Functional analysis (46-XX)
7 Convex and discrete geometry (52-XX)
6 Partial differential equations (35-XX)
6 General topology (54-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Ordinary differential equations (34-XX)
4 General and overarching topics; collections (00-XX)
4 Differential geometry (53-XX)
4 Mechanics of particles and systems (70-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Optics, electromagnetic theory (78-XX)
2 Mathematical logic and foundations (03-XX)
2 Nonassociative rings and algebras (17-XX)
2 Integral transforms, operational calculus (44-XX)
2 Quantum theory (81-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)

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