## Wu, Soon-Yi

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 Author ID: wu.soon-yi Published as: Wu, Soon-Yi; Wu, S. Y.; Wu, Soon Yi; Wu, Soonyi; Wu, S.-Y.; Wu, Soon-yi more...less
 Documents Indexed: 125 Publications since 1971 7 Contributions as Editor · 1 Further Contribution Co-Authors: 75 Co-Authors with 101 Joint Publications 3,399 Co-Co-Authors
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### Co-Authors

 4 single-authored 21 Fang, Shu-Cherng 11 Qi, Liqun 10 Teo, Kok Lay 9 Lin, Chih-Jen 9 Zhang, Liping 8 Peng, Jianwen 7 Yao, Jen-Chih 6 Xiao, Yunhai 6 Zhou, Guanglu 5 Yang, Xiaoqi 4 Ling, Chen 4 Sheu, Ruey-Lin 3 Hayashi, Shunsuke 3 Lai, Hang-Chin 3 Lau, Sailing 3 Li, Donghui 3 López-Cerdá, Marco Antonio 3 Shiu, Ting-Jang 3 Tong, Xiaojiao 3 Wang, Yan 3 Xiu, Naihua 2 Anderson, Edward James 2 Ansari, Qamrul Hasan 2 Ceng, Lu-Chuan 2 Chen, Shen-Yu 2 Gao, Ming Jie 2 Huang, Nan-Jing 2 Li, Jun 2 Liou, Yeongcheng 2 Sun, Jie 2 Wu, Zili 2 Yiu, Ka Fai Cedric 2 Zhou, Jinchuan 2 Zhu, Hong 1 Balch, Michael 1 Bouwer, Izak Z. 1 Caccetta, Louis 1 Chen, Yuan-Jeng 1 Claesson, Ingvar 1 de Souza, Robert 1 Fan, Gang-Lun 1 Gao, David Yang 1 Gao, Sarah Yini 1 Gao, Tingran 1 Geyer, Charles J. 1 Goberna, Miguel Angel 1 Goh, Mark 1 Gómez, Juan Alfredo 1 He, Bingsheng 1 Ho, Tvu-Ying 1 Hu, Cheng-Feng 1 İlker Birbil, Ş. 1 Ito, Satoshi 1 Khaliq, Abdul Q. M. 1 Kimura, Kenji 1 Klatte, Diethard 1 Lewis, Adrian S. 1 Li, Chong 1 Li, Shengjie J. 1 Lin, Jen-Yen 1 Long, Xianjun 1 Lu, Pan-An 1 Luo, ZiYan 1 Lur, Yuung-Yih 1 McFadden, Daniel Little 1 Ni, Qin 1 Pang, Jong-Shi 1 Petruşel, Adrian 1 Qu, Shaojian 1 Rashid, Mohammed Harunor 1 Rückmann, Jan-Joachim 1 Sculli, Domenic 1 Shapiro, Alexander 1 Siddiqi, Abul Hasan 1 Stein, Oliver 1 Tam, Judy 1 Tezel, Aysun 1 Tichatschke, Rainer 1 Wan, Zhong 1 Wang, Changyu 1 Wang, Song 1 Weber, Gerhard-Wilhelm 1 Wong, J. P. 1 Wongtawatnugool, C. 1 Wu, Changzhi 1 Wu, Chunjie 1 Wu, Felix F. 1 Xu, Honglei 1 Xu, Mengwei 1 Yamashita, Nobuo 1 Yang, Eugene K. 1 Ye, Jane J. 1 Yu, Shaohua 1 Zeng, Lu-Chuan 1 Zheng, Zhaobo 1 Zhou, Renjun
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### Serials

 16 Journal of Global Optimization 10 Journal of Optimization Theory and Applications 7 Journal of Computational and Applied Mathematics 7 Computational Optimization and Applications 7 Journal of Industrial and Management Optimization 6 Optimization 6 Taiwanese Journal of Mathematics 5 Computers & Mathematics with Applications 5 SIAM Journal on Optimization 4 Pacific Journal of Optimization 3 Journal of Applied Mechanics 2 Journal of Mathematical Analysis and Applications 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 European Journal of Operational Research 2 Optimization Methods & Software 2 Fuzzy Optimization and Decision Making 2 Fixed Point Theory and Applications 2 Optimization Letters 1 Modern Physics Letters B 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Automatica 1 Biometrika 1 Journal of the Operational Research Society 1 Metroeconomica 1 Soochow Journal of Mathematics 1 Journal of Information & Optimization Sciences 1 Applied Numerical Mathematics 1 Journal of China University of Science and Technology 1 Computational Mechanics 1 Annals of Operations Research 1 Applied Mathematical Modelling 1 Journal of Physics A: Mathematical and General 1 Mathematical Programming. Series A. Series B 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Top 1 Journal of Convex Analysis 1 Advances in Computational Mathematics 1 Abstract and Applied Analysis 1 Nonlinear Analysis Forum 1 Optimization and Engineering 1 The ANZIAM Journal 1 Methods of Operations Research 1 International Journal of Operations Research (Taichung) 1 Frontiers of Mathematics in China 1 Science China. Mathematics
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### Fields

 101 Operations research, mathematical programming (90-XX) 33 Numerical analysis (65-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 13 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 6 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

107 Publications have been cited 936 times in 553 Documents Cited by Year
Gap functions and existence of solutions to generalized vector quasi-equilibrium problems. Zbl 1090.49014
Li, S. J.; Teo, K. L.; Yang, X. Q.; Wu, S. Y.
2006
Generalized KKM theorem with applications to generalized minimax inequalities and generalized equilibrium problems. Zbl 1121.49005
Zeng, Lu-Chuan; Wu, Soon-Yi; Yao, Jen-Chih
2006
Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137
Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu
2003
A smoothing Newton method for semi-infinite programming. Zbl 1066.90131
Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi
2004
Weak sharp solutions of variational inequalities in Hilbert spaces. Zbl 1073.90052
Wu, Zili; Wu, Soon-yi
2004
A new exchange method for convex semi-infinite programming. Zbl 1229.90247
Zhang, Liping; Wu, Soon-Yi; López, Marco A.
2010
Linear programming with fuzzy coefficients in constraints. Zbl 0931.90069
Fang, S.-C.; Hu, C.-F.; Wang, H.-F.; Wu, S.-Y.
1999
An iterative method for solving KKT system of the semi-infinite programming. Zbl 1127.90410
Wu, Soon-Yi; Li, Dong-Hui; Qi, Liqun; Zhou, Guanglu
2005
Well-posedness for parametric vector equilibrium problems with applications. Zbl 1161.90479
Kimura, Kenji; Liou, Yeong-Cheng; Wu, Soon-Yi; Yao, Jen-Chih
2008
Existence and duality of generalized vector equilibrium problems. Zbl 1018.90041
Ansari, Qamrul Hasan; Siddiqi, Abul Hasan; Wu, Soon Yi
2001
On linear semi-infinite programming problems: An algorithm. Zbl 0758.90069
Lai, Hang-Chin; Wu, Soon-Yi
1992
First order optimality conditions for generalized semi-infinite programming problems. Zbl 1152.90011
Ye, J. J.; Wu, S. Y.
2008
Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems. Zbl 0527.73052
Lau, S. L.; Cheung, Y. K.; Wu, S. Y.
1983
Characterizations of the solution sets of convex programs and variational inequality problems. Zbl 1152.90565
Wu, Z. L.; Wu, S. Y.
2006
Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor. Zbl 1311.65038
Zhou, Guanglu; Qi, Liqun; Wu, Soon-Yi
2013
Solving min-max problems and linear semi-infinite programs. Zbl 0860.90110
Fang, S.-C.; Wu, Soon-Yi
1996
The generalized Tykhonov well-posedness for system of vector quasi-equilibrium problems. Zbl 1202.90255
Peng, Jian-Wen; Wu, Soon-Yi
2010
On the largest eigenvalue of a symmetric nonnegative tensor. Zbl 1313.15020
Zhou, Guanglu; Qi, Liqun; Wu, Soon-Yi
2013
A variable parameter incrementation method for dynamic instability of linear and nonlinear elastic systems. Zbl 0503.73031
Lau, S. L.; Cheung, Y. K.; Wu, S. Y.
1982
Stock control with two suppliers and normal lead times. Zbl 0464.90016
Sculli, D.; Wu, S. Y.
1981
Canonical dual approach to solving 0-1 quadratic programming problems. Zbl 1180.90195
Fang, Shu-Cherng; Gao, David Yang; Sheu, Ruey-Lin; Wu, Soon-Yi
2008
New accuracy criteria for modified approximate proximal point algorithms in Hilbert spaces. Zbl 1215.47061
Ceng, Lu-Chuan; Wu, Soon-Yi; Yao, Jen-Chih
2008
An inexact approach to solving linear semi-infinite programming problems. Zbl 0819.90113
Fang, Shu-Cherng; Wu, Soon-Yi
1994
A new smoothing Newton-type algorithm for semi-infinite programming. Zbl 1220.90144
Ling, Chen; Ni, Qin; Qi, Liqun; Wu, Soon-Yi
2010
Relaxed cutting plane method for solving linear semi-infinite programming problems. Zbl 0956.90056
Wu, S. Y.; Fang, S. C.; Lin, C. J.
1998
An algorithm based on the generalized D-gap function for equilibrium problems. Zbl 1182.65095
Zhang, Liping; Wu, Soon-Yi
2009
Nonlinear vibration of thin elastic plates. I. Generalized incremental Hamilton’s principle and element formulation. II: Internal resonance by amplitude incremental finite element. Zbl 0549.73051
Lau, S. L.; Cheung, Y. K.; Wu, S. Y.
1984
Nonnegative polynomial optimization over unit spheres and convex programming relaxations. Zbl 1263.90104
Zhou, Guanglu; Caccetta, Louis; Teo, Kok Lay; Wu, Soon-Yi
2012
Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method. Zbl 0931.90035
Wu, Soon-Yi; Fang, S.-C.
1999
Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings. Zbl 1145.49006
Huang, Nan-jing; Li, Jun; Wu, Soon-yi
2008
Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme. Zbl 0984.65062
Fang, Shu-Cherng; Lin, Chih-Jen; Wu, Soon-Yi
2001
Solving semi-infinite programs by smoothing projected gradient method. Zbl 1308.65101
Xu, Mengwei; Wu, Soon-Yi; Ye, Jane J.
2014
Global convergence of a robust smoothing SQP method for semi-infinite programming. Zbl 1140.90044
Ling, C.; Qi, L. Q.; Zhou, G. L.; Wu, S. Y.
2006
A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities. Zbl 1206.47080
Peng, Jian-Wen; Wu, Soon-Yi; Yao, Jen-Chih
2010
Improved smoothing Newton methods for $$P_0$$ nonlinear complementarity problems. Zbl 1176.65076
Zhang, Liping; Wu, Soon-Yi; Gao, Tingran
2009
A new quadratic semi-infinite programming algorithm based on dual parametrization. Zbl 1083.90042
Liu, Y.; Teo, K. L.; Wu, S. Y.
2004
Min-max optimal control of linear systems with uncertainty and terminal state constraints. Zbl 1360.49004
Wu, Changzhi; Teo, Kok Lay; Wu, Soonyi
2013
Primal and dual alternating direction algorithms for $$\ell _{1}$$-$$\ell _{1}$$-norm minimization problems in compressive sensing. Zbl 1269.90081
Xiao, Yunhai; Zhu, Hong; Wu, Soon-Yi
2013
The capacity problem. Zbl 0689.90074
Anderson, E. J.; Lewis, A. S.; Wu, S. Y.
1989
Large sparse signal recovery by conjugate gradient algorithm based on smoothing technique. Zbl 1391.94481
Zhu, Hong; Xiao, Yunhai; Wu, Soon-Yi
2013
Nonmonotone Barzilai-Borwein gradient algorithm for $$\ell_1$$-regularized nonsmooth minimization in compressive sensing. Zbl 1306.65216
Xiao, Yunhai; Wu, Soon-Yi; Qi, Liqun
2014
Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints. Zbl 1268.90105
Peng, Jian-Wen; Wu, Soon-Yi; Wang, Yan
2012
Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings. Zbl 1272.90115
Rashid, M. H.; Yu, S. H.; Li, Chong; Wu, S. Y.
2013
Extremal points and optimal solutions for general capacity problems. Zbl 0763.90098
Lai, H. C.; Wu, S. Y.
1992
Splitting and linearizing augmented Lagrangian algorithm for subspace recovery from corrupted observations. Zbl 1269.65057
Xiao, Yunhai; Wu, Soon-Yi; Li, Dong-Hui
2013
Conjugate dual problems in constrained set-valued optimization and applications. Zbl 1190.90192
Li, S. J.; Chen, C. R.; Wu, S. Y.
2009
Solving variational inequalities defined on a domain with infinitely many linear constraints. Zbl 1116.49005
Fang, Shu-Cherng; Wu, Soonyi; Birbil, Ş. İlker
2007
Analysis of concrete fracture using a novel cohesive crack method. Zbl 1201.74288
Dong, Y.; Wu, S.; Xu, S. S.; Zhang, Y.; Fang, S.
2010
On generalized semi-infinite programming. (With comments and rejoinder). Zbl 1111.90114
Rückmann, Jan-J.; Gómez, Juan Alfredo
2006
Multiobjective DC programs with infinite convex constraints. Zbl 1326.90067
Qu, Shaojian; Goh, Mark; Wu, Soon-Yi; De Souza, Robert
2014
Norm descent conjugate gradient methods for solving symmetric nonlinear equations. Zbl 1326.65063
Xiao, Yunhai; Wu, Chunjie; Wu, Soon-Yi
2015
The well-posedness for multiobjective generalized games. Zbl 1231.91012
Peng, J. W.; Wu, S. Y.
2011
Gâteaux differentiability of the dual gap function of a variational inequality. Zbl 1141.58005
Wu, Zili; Wu, Soon-Yi
2008
On solving convex quadratic semi-infinite programming problems. Zbl 0819.90112
Fang, S.-C.; Lin, C.-J.; Wu, S.-Y.
1994
An analytic center cutting plane method for solving semi-infinite variational inequality problems. Zbl 1061.49008
Fang, Shu-Cherng; Wu, Soon-Yi; Sun, Jie
2004
Optimality conditions for vector optimization problems. Zbl 1180.90289
Huang, N. J.; Li, J.; Wu, S. Y.
2009
Levitin-Polyak well-posedness of generalized vector equilibrium problems. Zbl 1238.49042
Peng, Jian-Wen; Wang, Yan; Wu, Soon-Yi
2011
A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints. Zbl 1401.90137
Gao, Sarah Yini; Sun, Jie; Wu, Soon-Yi
2018
Generalized vector variational-like inequalities and nonsmooth vector optimization problems. Zbl 1274.90358
Long, Xian-Jun; Peng, Jian-Wen; Wu, Soon-Yi
2012
A proximal alternating direction method for $$\ell_{2,1}$$-norm least squares problem in multi-task feature learning. Zbl 1364.90320
Xiao, Yunhai; Wu, Soon-Yi; He, Bing-Sheng
2012
Implementation of an inexact approach to solving linear semi-infinite programming problems. Zbl 0840.65057
Lin, Chih-Jen; Yang, Eugene K.; Fang, Shu-Cherng; Wu, Soon-Yi
1995
First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets. Zbl 1196.90121
Zhou, Jinchuan; Wang, Changyu; Xiu, Naihua; Wu, Soonyi
2009
An unconstrained convex programming approach to linear semi-infinite programming. Zbl 0912.90275
Lin, Chih-Jen; Fang, Shu-Cherng; Wu, Soon-Yi
1998
The continuous complementarity problem. Zbl 0734.90100
Anderson, E. J.; Wu, Soon Yi
1991
Strong convergence theorems of relaxed hybrid steepest-descent methods for variational inequalities. Zbl 1092.49013
Zeng, L. C.; Ansari, Q. H.; Wu, S. Y.
2006
An explicit exchange algorithm for linear semi-infinite programming problems with second-order cone constraints. Zbl 1213.90248
Hayashi, Shunsuke; Wu, Soon-Yi
2009
On hybrid proximal-type algorithms in Banach spaces. Zbl 1215.47060
Ceng, L. C.; Petruşel, A.; Wu, S. Y.
2008
A dual affine scaling based algorithm for solving linear semi-infinite programming problems. Zbl 0829.90128
Lin, Chih-Jen; Fang, Shu-Cherng; Wu, Soon-Yi
1994
A primal-dual infeasible-interior-point algorithm for linear semi- infinite programming. Zbl 0831.90113
Sheu, R.-L.; Wu, S.-Y.; Fang, S.-C.
1995
New approach for the nonlinear programming with transient stability constraints arising from power systems. Zbl 1198.90361
Tong, Xiaojiao; Wu, Soon-Yi; Zhou, Renjun
2010
Convergence and error bound of a D-gap function based Newton-type algorithm for equilibrium problems. Zbl 1220.90141
Zhang, Liping; Wu, Soon-Yi; Fang, Shu-Cherng
2010
A cutting plane approach to solving quadratic infinite programs on measure spaces. Zbl 1099.90570
Wu, S. Y.
2001
Solving general capacity problem by relaxed cutting plane approach. Zbl 1007.90078
Wu, Soon-Yi; Fang, Shu-Cherng; Lin, Chih-Jen
2001
Some properties on quadratic infinite programs of integral type. Zbl 1162.49303
Wan, Zhong; Wu, S. Y.; Teo, K. L.
2007
Adaptive regularization using the entire solution surface. Zbl 1170.62036
Wu, S.; Shen, X.; Geyer, C. J.
2009
The general capacity problem. Zbl 0564.90093
Wu, S. Y.
1985
Relaxed cutting plane method with convexification for solving nonlinear semi-infinite programming problems. Zbl 1259.90148
Shiu, Ting-Jang; Wu, Soon-Yi
2012
On the evaluation of nearly singular kernel integrals in boundary element analysis – some improved formulations. Zbl 0926.65024
Wu, S.; Lu, Pan-An
1996
Four new BIBDs with block size seven. Zbl 0773.05021
Yin, J.; Wu, S.
1993
Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming. Zbl 1180.90228
Li, S. J.; Teo, K. L.; Yang, X. Q.; Wu, S. Y.
2007
Robust solutions to Euclidean facility location problems with uncertain data. Zbl 1233.90221
Zhang, Liping; Wu, Soon-Yi
2010
A new approximation scheme combining the viscosity method with extragradient method for mixed equilibrium problems. Zbl 1202.47083
Peng, Jian-Wen; Wu, Soon-Yi
2009
Algorithms for infinite quadratic programming in $$L_p$$ spaces. Zbl 1144.65038
Chen, Shen-Yu; Wu, Soon-Yi
2008
Extremal points and an algorithm for a class of continuous transportation problems. Zbl 0761.90100
Wu, Soon-Yi
1992
Combined entropic regularization and path-following method for solving finite convex min-max problems subject to infinitely many linear constraints. Zbl 0945.90079
Sheu, R. L.; Wu, S. Y.
1999
Linear programming in measure spaces. Zbl 0820.90126
Lai, H. C.; Wu, S. Y.
1994
A solution method for combined semi-infinite and semi-definite programming. Zbl 1176.90452
Li, S. J.; Yang, X. Q.; Teo, K. L.; Wu, S. Y.
2004
Bilevel decision with generalized semi-infinite optimization for fuzzy mappings as lower level problems. Zbl 1079.90142
Liou, Yeong-Cheng; Wu, Soon-Yi; Yao, Jen-Chih
2005
A numerical approach to infinite-dimensional linear programming in $$L_1$$ spaces. Zbl 1206.90081
Ito, Satoshi; Wu, Soon-Yi; Shiu, Ting-Jang; Teo, Kok Lay
2010
An entropy based central cutting plane algorithm for convex min-Max semi-infinite programming problems. Zbl 1267.90160
Zhang, LiPing; Fang, Shu-Cherng; Wu, Soon-Yi
2013
Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows. Zbl 1448.76198
Wu, S.; Peng, B.; Tian, Z. F.
2019
Levitin-Polyak well-posedness for vector quasi-equilibrium problems with functional constraints. Zbl 1285.49016
Peng, Jian-Wen; Wang, Yan; Wu, Soon-Yi
2012
A fast algorithm for the optimal design of high accuracy windows in signal processing. Zbl 1307.90187
Yiu, K. F. C.; Gao, M. J.; Shiu, T. J.; Wu, S. Y.; Tran, T.; Claesson, I.
2013
Parametric linear semi-infinite programming. Zbl 0852.90125
Lin, C.-J.; Fang, S.-C.; Wu, Soon-Yi
1996
A primal-dual approach for quadratic semi-infinite programming. Zbl 0913.90256
Sheu, Ruey-Lin; Wu, Soon-Yi
1996
Inexact algorithm for continuous complementarity problems on measure spaces. Zbl 0871.90098
Wu, S. Y.; Yao, J. C.; Pang, J. S.
1996
Analytic center based cutting plane method for linear semi-infinite programming. Zbl 1051.90024
Wu, Soon-Yi; Fang, Shu-Cherng; Lin, Chih-Jen
2001
Separation by hyperplanes: a linear semi-infinite programming approach. Zbl 1055.90050
Goberna, Miguel A.; López, Marco A.; Wu, Soon-Yi
2001
Essays on economic behavior under uncertainty. Zbl 0327.00012
1974
Duality theorems and algorithms for linear programming in measure spaces. Zbl 1066.90068
Wen, C. F.; Wu, S. Y.
2004
An efficient projection-based algorithm without Lipschitz continuity for large-scale nonlinear pseudo-monotone equations. Zbl 1484.65125
Liu, J. K.; Lu, Z. L.; Xu, J. L.; Wu, S.; Tu, Z. W.
2022
Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows. Zbl 1448.76198
Wu, S.; Peng, B.; Tian, Z. F.
2019
A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints. Zbl 1401.90137
Gao, Sarah Yini; Sun, Jie; Wu, Soon-Yi
2018
A perturbation exchange algorithm for convex semi-infinite programming with applications in sparse beamformer design. Zbl 1474.90489
Gao, Ming Jie; Yiu, Ka Fai Cedric; Wu, Soon Yi
2018
An efficient algorithm for $$\min$$-$$\max$$ convex semi-infinite programming problems. Zbl 1348.90574
Zhang, Liping; Wu, Soon-Yi
2016
Norm descent conjugate gradient methods for solving symmetric nonlinear equations. Zbl 1326.65063
Xiao, Yunhai; Wu, Chunjie; Wu, Soon-Yi
2015
Solving semi-infinite programs by smoothing projected gradient method. Zbl 1308.65101
Xu, Mengwei; Wu, Soon-Yi; Ye, Jane J.
2014
Nonmonotone Barzilai-Borwein gradient algorithm for $$\ell_1$$-regularized nonsmooth minimization in compressive sensing. Zbl 1306.65216
Xiao, Yunhai; Wu, Soon-Yi; Qi, Liqun
2014
Multiobjective DC programs with infinite convex constraints. Zbl 1326.90067
Qu, Shaojian; Goh, Mark; Wu, Soon-Yi; De Souza, Robert
2014
Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor. Zbl 1311.65038
Zhou, Guanglu; Qi, Liqun; Wu, Soon-Yi
2013
On the largest eigenvalue of a symmetric nonnegative tensor. Zbl 1313.15020
Zhou, Guanglu; Qi, Liqun; Wu, Soon-Yi
2013
Min-max optimal control of linear systems with uncertainty and terminal state constraints. Zbl 1360.49004
Wu, Changzhi; Teo, Kok Lay; Wu, Soonyi
2013
Primal and dual alternating direction algorithms for $$\ell _{1}$$-$$\ell _{1}$$-norm minimization problems in compressive sensing. Zbl 1269.90081
Xiao, Yunhai; Zhu, Hong; Wu, Soon-Yi
2013
Large sparse signal recovery by conjugate gradient algorithm based on smoothing technique. Zbl 1391.94481
Zhu, Hong; Xiao, Yunhai; Wu, Soon-Yi
2013
Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings. Zbl 1272.90115
Rashid, M. H.; Yu, S. H.; Li, Chong; Wu, S. Y.
2013
Splitting and linearizing augmented Lagrangian algorithm for subspace recovery from corrupted observations. Zbl 1269.65057
Xiao, Yunhai; Wu, Soon-Yi; Li, Dong-Hui
2013
An entropy based central cutting plane algorithm for convex min-Max semi-infinite programming problems. Zbl 1267.90160
Zhang, LiPing; Fang, Shu-Cherng; Wu, Soon-Yi
2013
A fast algorithm for the optimal design of high accuracy windows in signal processing. Zbl 1307.90187
Yiu, K. F. C.; Gao, M. J.; Shiu, T. J.; Wu, S. Y.; Tran, T.; Claesson, I.
2013
Nonnegative polynomial optimization over unit spheres and convex programming relaxations. Zbl 1263.90104
Zhou, Guanglu; Caccetta, Louis; Teo, Kok Lay; Wu, Soon-Yi
2012
Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints. Zbl 1268.90105
Peng, Jian-Wen; Wu, Soon-Yi; Wang, Yan
2012
Generalized vector variational-like inequalities and nonsmooth vector optimization problems. Zbl 1274.90358
Long, Xian-Jun; Peng, Jian-Wen; Wu, Soon-Yi
2012
A proximal alternating direction method for $$\ell_{2,1}$$-norm least squares problem in multi-task feature learning. Zbl 1364.90320
Xiao, Yunhai; Wu, Soon-Yi; He, Bing-Sheng
2012
Relaxed cutting plane method with convexification for solving nonlinear semi-infinite programming problems. Zbl 1259.90148
Shiu, Ting-Jang; Wu, Soon-Yi
2012
Levitin-Polyak well-posedness for vector quasi-equilibrium problems with functional constraints. Zbl 1285.49016
Peng, Jian-Wen; Wang, Yan; Wu, Soon-Yi
2012
A smoothing SQP method for nonlinear programs with stability constraints arising from power systems. Zbl 1245.90146
Tong, Xiaojiao; Qi, Liqun; Wu, Soon-Yi; Wu, Felix F.
2012
The well-posedness for multiobjective generalized games. Zbl 1231.91012
Peng, J. W.; Wu, S. Y.
2011
Levitin-Polyak well-posedness of generalized vector equilibrium problems. Zbl 1238.49042
Peng, Jian-Wen; Wang, Yan; Wu, Soon-Yi
2011
A new approach to the weighted peak-constrained least-square error FIR digital filter optimal design problem. Zbl 1236.90132
Zhang, Liping; Wu, Soon-Yi
2011
A new exchange method for convex semi-infinite programming. Zbl 1229.90247
Zhang, Liping; Wu, Soon-Yi; López, Marco A.
2010
The generalized Tykhonov well-posedness for system of vector quasi-equilibrium problems. Zbl 1202.90255
Peng, Jian-Wen; Wu, Soon-Yi
2010
A new smoothing Newton-type algorithm for semi-infinite programming. Zbl 1220.90144
Ling, Chen; Ni, Qin; Qi, Liqun; Wu, Soon-Yi
2010
A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities. Zbl 1206.47080
Peng, Jian-Wen; Wu, Soon-Yi; Yao, Jen-Chih
2010
Analysis of concrete fracture using a novel cohesive crack method. Zbl 1201.74288
Dong, Y.; Wu, S.; Xu, S. S.; Zhang, Y.; Fang, S.
2010
New approach for the nonlinear programming with transient stability constraints arising from power systems. Zbl 1198.90361
Tong, Xiaojiao; Wu, Soon-Yi; Zhou, Renjun
2010
Convergence and error bound of a D-gap function based Newton-type algorithm for equilibrium problems. Zbl 1220.90141
Zhang, Liping; Wu, Soon-Yi; Fang, Shu-Cherng
2010
Robust solutions to Euclidean facility location problems with uncertain data. Zbl 1233.90221
Zhang, Liping; Wu, Soon-Yi
2010
A numerical approach to infinite-dimensional linear programming in $$L_1$$ spaces. Zbl 1206.90081
Ito, Satoshi; Wu, Soon-Yi; Shiu, Ting-Jang; Teo, Kok Lay
2010
An algorithm based on the generalized D-gap function for equilibrium problems. Zbl 1182.65095
Zhang, Liping; Wu, Soon-Yi
2009
Improved smoothing Newton methods for $$P_0$$ nonlinear complementarity problems. Zbl 1176.65076
Zhang, Liping; Wu, Soon-Yi; Gao, Tingran
2009
Conjugate dual problems in constrained set-valued optimization and applications. Zbl 1190.90192
Li, S. J.; Chen, C. R.; Wu, S. Y.
2009
Optimality conditions for vector optimization problems. Zbl 1180.90289
Huang, N. J.; Li, J.; Wu, S. Y.
2009
First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets. Zbl 1196.90121
Zhou, Jinchuan; Wang, Changyu; Xiu, Naihua; Wu, Soonyi
2009
An explicit exchange algorithm for linear semi-infinite programming problems with second-order cone constraints. Zbl 1213.90248
Hayashi, Shunsuke; Wu, Soon-Yi
2009
Adaptive regularization using the entire solution surface. Zbl 1170.62036
Wu, S.; Shen, X.; Geyer, C. J.
2009
A new approximation scheme combining the viscosity method with extragradient method for mixed equilibrium problems. Zbl 1202.47083
Peng, Jian-Wen; Wu, Soon-Yi
2009
Well-posedness for parametric vector equilibrium problems with applications. Zbl 1161.90479
Kimura, Kenji; Liou, Yeong-Cheng; Wu, Soon-Yi; Yao, Jen-Chih
2008
First order optimality conditions for generalized semi-infinite programming problems. Zbl 1152.90011
Ye, J. J.; Wu, S. Y.
2008
Canonical dual approach to solving 0-1 quadratic programming problems. Zbl 1180.90195
Fang, Shu-Cherng; Gao, David Yang; Sheu, Ruey-Lin; Wu, Soon-Yi
2008
New accuracy criteria for modified approximate proximal point algorithms in Hilbert spaces. Zbl 1215.47061
Ceng, Lu-Chuan; Wu, Soon-Yi; Yao, Jen-Chih
2008
Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings. Zbl 1145.49006
Huang, Nan-jing; Li, Jun; Wu, Soon-yi
2008
Gâteaux differentiability of the dual gap function of a variational inequality. Zbl 1141.58005
Wu, Zili; Wu, Soon-Yi
2008
On hybrid proximal-type algorithms in Banach spaces. Zbl 1215.47060
Ceng, L. C.; Petruşel, A.; Wu, S. Y.
2008
Algorithms for infinite quadratic programming in $$L_p$$ spaces. Zbl 1144.65038
Chen, Shen-Yu; Wu, Soon-Yi
2008
Solving variational inequalities defined on a domain with infinitely many linear constraints. Zbl 1116.49005
Fang, Shu-Cherng; Wu, Soonyi; Birbil, Ş. İlker
2007
Some properties on quadratic infinite programs of integral type. Zbl 1162.49303
Wan, Zhong; Wu, S. Y.; Teo, K. L.
2007
Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming. Zbl 1180.90228
Li, S. J.; Teo, K. L.; Yang, X. Q.; Wu, S. Y.
2007
Gap functions and existence of solutions to generalized vector quasi-equilibrium problems. Zbl 1090.49014
Li, S. J.; Teo, K. L.; Yang, X. Q.; Wu, S. Y.
2006
Generalized KKM theorem with applications to generalized minimax inequalities and generalized equilibrium problems. Zbl 1121.49005
Zeng, Lu-Chuan; Wu, Soon-Yi; Yao, Jen-Chih
2006
Characterizations of the solution sets of convex programs and variational inequality problems. Zbl 1152.90565
Wu, Z. L.; Wu, S. Y.
2006
Global convergence of a robust smoothing SQP method for semi-infinite programming. Zbl 1140.90044
Ling, C.; Qi, L. Q.; Zhou, G. L.; Wu, S. Y.
2006
On generalized semi-infinite programming. (With comments and rejoinder). Zbl 1111.90114
Rückmann, Jan-J.; Gómez, Juan Alfredo
2006
Strong convergence theorems of relaxed hybrid steepest-descent methods for variational inequalities. Zbl 1092.49013
Zeng, L. C.; Ansari, Q. H.; Wu, S. Y.
2006
An iterative method for solving KKT system of the semi-infinite programming. Zbl 1127.90410
Wu, Soon-Yi; Li, Dong-Hui; Qi, Liqun; Zhou, Guanglu
2005
Bilevel decision with generalized semi-infinite optimization for fuzzy mappings as lower level problems. Zbl 1079.90142
Liou, Yeong-Cheng; Wu, Soon-Yi; Yao, Jen-Chih
2005
An approximation approach for linear programming in measure space. Zbl 1125.90390
Wen, C. F.; Wu, S. Y.
2005
A smoothing Newton method for semi-infinite programming. Zbl 1066.90131
Li, Dong-Hui; Qi, Liqun; Tam, Judy; Wu, Soon-Yi
2004
Weak sharp solutions of variational inequalities in Hilbert spaces. Zbl 1073.90052
Wu, Zili; Wu, Soon-yi
2004
A new quadratic semi-infinite programming algorithm based on dual parametrization. Zbl 1083.90042
Liu, Y.; Teo, K. L.; Wu, S. Y.
2004
An analytic center cutting plane method for solving semi-infinite variational inequality problems. Zbl 1061.49008
Fang, Shu-Cherng; Wu, Soon-Yi; Sun, Jie
2004
A solution method for combined semi-infinite and semi-definite programming. Zbl 1176.90452
Li, S. J.; Yang, X. Q.; Teo, K. L.; Wu, S. Y.
2004
Duality theorems and algorithms for linear programming in measure spaces. Zbl 1066.90068
Wen, C. F.; Wu, S. Y.
2004
Semismooth Newton methods for solving semi-infinite programming problems. Zbl 1033.90137
Qi, Liqun; Wu, Soon-Yi; Zhou, Guanglu
2003
Maximum feasibility problem for continuous linear inequalities with applications to fuzzy linear programming. Zbl 1180.90186
Jan, G. M.; Sheu, R. L.; Wu, S. Y.
2003
Existence and duality of generalized vector equilibrium problems. Zbl 1018.90041
Ansari, Qamrul Hasan; Siddiqi, Abul Hasan; Wu, Soon Yi
2001
Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme. Zbl 0984.65062
Fang, Shu-Cherng; Lin, Chih-Jen; Wu, Soon-Yi
2001
A cutting plane approach to solving quadratic infinite programs on measure spaces. Zbl 1099.90570
Wu, S. Y.
2001
Solving general capacity problem by relaxed cutting plane approach. Zbl 1007.90078
Wu, Soon-Yi; Fang, Shu-Cherng; Lin, Chih-Jen
2001
Analytic center based cutting plane method for linear semi-infinite programming. Zbl 1051.90024
Wu, Soon-Yi; Fang, Shu-Cherng; Lin, Chih-Jen
2001
Separation by hyperplanes: a linear semi-infinite programming approach. Zbl 1055.90050
Goberna, Miguel A.; López, Marco A.; Wu, Soon-Yi
2001
Linear programming with fuzzy coefficients in constraints. Zbl 0931.90069
Fang, S.-C.; Hu, C.-F.; Wang, H.-F.; Wu, S.-Y.
1999
Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method. Zbl 0931.90035
Wu, Soon-Yi; Fang, S.-C.
1999
Combined entropic regularization and path-following method for solving finite convex min-max problems subject to infinitely many linear constraints. Zbl 0945.90079
Sheu, R. L.; Wu, S. Y.
1999
Relaxed cutting plane method for solving linear semi-infinite programming problems. Zbl 0956.90056
Wu, S. Y.; Fang, S. C.; Lin, C. J.
1998
An unconstrained convex programming approach to linear semi-infinite programming. Zbl 0912.90275
Lin, Chih-Jen; Fang, Shu-Cherng; Wu, Soon-Yi
1998
Solving min-max problems and linear semi-infinite programs. Zbl 0860.90110
Fang, S.-C.; Wu, Soon-Yi
1996
On the evaluation of nearly singular kernel integrals in boundary element analysis – some improved formulations. Zbl 0926.65024
Wu, S.; Lu, Pan-An
1996
Parametric linear semi-infinite programming. Zbl 0852.90125
Lin, C.-J.; Fang, S.-C.; Wu, Soon-Yi
1996
A primal-dual approach for quadratic semi-infinite programming. Zbl 0913.90256
Sheu, Ruey-Lin; Wu, Soon-Yi
1996
Inexact algorithm for continuous complementarity problems on measure spaces. Zbl 0871.90098
Wu, S. Y.; Yao, J. C.; Pang, J. S.
1996
Implementation of an inexact approach to solving linear semi-infinite programming problems. Zbl 0840.65057
Lin, Chih-Jen; Yang, Eugene K.; Fang, Shu-Cherng; Wu, Soon-Yi
1995
A primal-dual infeasible-interior-point algorithm for linear semi- infinite programming. Zbl 0831.90113
Sheu, R.-L.; Wu, S.-Y.; Fang, S.-C.
1995
An inexact approach to solving linear semi-infinite programming problems. Zbl 0819.90113
Fang, Shu-Cherng; Wu, Soon-Yi
1994
On solving convex quadratic semi-infinite programming problems. Zbl 0819.90112
Fang, S.-C.; Lin, C.-J.; Wu, S.-Y.
1994
A dual affine scaling based algorithm for solving linear semi-infinite programming problems. Zbl 0829.90128
Lin, Chih-Jen; Fang, Shu-Cherng; Wu, Soon-Yi
1994
Linear programming in measure spaces. Zbl 0820.90126
Lai, H. C.; Wu, S. Y.
1994
Four new BIBDs with block size seven. Zbl 0773.05021
Yin, J.; Wu, S.
1993
On linear semi-infinite programming problems: An algorithm. Zbl 0758.90069
Lai, Hang-Chin; Wu, Soon-Yi
1992
Extremal points and optimal solutions for general capacity problems. Zbl 0763.90098
Lai, H. C.; Wu, S. Y.
1992
Extremal points and an algorithm for a class of continuous transportation problems. Zbl 0761.90100
Wu, Soon-Yi
1992
The continuous complementarity problem. Zbl 0734.90100
Anderson, E. J.; Wu, Soon Yi
1991
...and 7 more Documents
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### Cited by 723 Authors

 42 Wu, Soon-Yi 18 Fang, Shu-Cherng 17 Qi, Liqun 13 Ansari, Qamrul Hasan 13 Liou, Yeongcheng 13 Teo, Kok Lay 11 Anh, Lam Quoc 11 Yao, Jen-Chih 10 Cho, Yeol Je 10 Huang, Nan-Jing 10 Hung, Nguyen Van 10 Kumam, Poom 10 Wang, Changyu 10 Yao, Yonghong 9 Passacantando, Mauro 9 Pham Huu Sach 8 Chen, Jiawei 8 Ling, Chen 8 Wangkeeree, Rabian 7 Ceng, Lu-Chuan 7 Ding, Xie Ping 7 Li, Jun 7 Phan Quôc Khánh 7 Tong, Xiaojiao 7 Zhou, Guanglu 6 Al-Homidan, Suliman S. 6 Hu, Cheng-Feng 6 Mastroeni, Giandomenico 6 Pang, Liping 6 Yang, Xiaoqi 6 Zafarani, Jafar 6 Zhang, Liping 5 Agarwal, Ravi P. 5 Bigi, Giancarlo 5 Gao, David Yang 5 Goberna, Miguel Angel 5 Khan, Suhel Ahmad 5 Qin, Xiaolong 5 Wan, Zhongping 5 Zhou, Jinchuan 4 Balaj, Mircea 4 Bantaojai, Thanatporn 4 Feng, Zhiguo 4 Guu, Sy-Ming 4 Ivanov Todorov, Maxim 4 Jitpeera, Thanyarat 4 Le Anh Tuan 4 Li, Shengjie 4 Lin, Yen-Cherng 4 Liu, Qian 4 Lv, Jian 4 Meng, Zhiqing 4 Okuno, Takayuki 4 Pappalardo, Massimo 4 Salahuddin 4 Sheu, Ruey-Lin 4 Sun, Jie 4 Tam, Vo Minh 4 Wei, Li 4 Wu, Zili 3 Aminifard, Zohre 3 Anh, Nguyen Le Hoang 3 Babaie-Kafaki, Saman 3 Chang, Shih-Sen 3 de Souza, Robert 3 Duy, Tran Quoc 3 Fakhar, Majid 3 Fan, Xiaona 3 Fernandes, Edite M. G. P. 3 Goh, Mark 3 González-Gutiérrez, Enrique 3 Haskell, William Benjamin 3 Hayashi, Shunsuke 3 Jayswal, Anurag 3 Kamraksa, Uthai 3 Lai, Hang-Chin 3 Lan, Hengyou 3 Li, Donghui 3 Li, Xiaobo 3 Lin, Chih-Jen 3 Liu, Qilong 3 López-Cerdá, Marco Antonio 3 Mishra, Shashi Kant 3 O’Regan, Donal 3 Peng, Jianwen 3 Qu, Shaojian 3 Ruan, Ning 3 Schaible, Siegfried 3 Shehu, Yekini 3 Shen, Rui 3 Tan, Ruilin 3 Van Nguyen, Luong 3 Wang, Sanhua 3 Wang, Yiju 3 Wu, Changzhi 3 Xiao, Yunhai 3 Xing, Wenxun 3 Xiu, Naihua 3 Xu, Mengwei 3 Yang, Yuning ...and 623 more Authors
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### Cited in 118 Serials

 46 Journal of Global Optimization 41 Journal of Optimization Theory and Applications 31 Fixed Point Theory and Applications 26 Journal of Computational and Applied Mathematics 25 Optimization 23 Journal of Inequalities and Applications 23 Optimization Letters 20 Computational Optimization and Applications 18 Computers & Mathematics with Applications 16 Journal of Industrial and Management Optimization 12 European Journal of Operational Research 12 Abstract and Applied Analysis 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Numerical Functional Analysis and Optimization 9 Applied Mathematics and Computation 9 Computational and Applied Mathematics 9 Optimization Methods & Software 8 SIAM Journal on Optimization 8 Positivity 7 Journal of Mathematical Analysis and Applications 7 Numerical Algorithms 6 Linear Algebra and its Applications 6 Journal of Applied Mathematics 6 Journal of Applied Mathematics and Computing 5 Information Sciences 5 Applied Mathematics Letters 5 Annals of Operations Research 5 Mathematical Methods of Operations Research 4 Fuzzy Sets and Systems 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 Journal of Systems Science and Complexity 3 Applicable Analysis 3 Mathematical Programming. Series A. Series B 3 Numerical Linear Algebra with Applications 3 Top 3 Mathematical Problems in Engineering 3 The ANZIAM Journal 3 Journal of Intelligent and Fuzzy Systems 3 Fuzzy Optimization and Decision Making 2 International Journal of Control 2 Applied Mathematics and Optimization 2 Calcolo 2 International Journal of Mathematics and Mathematical Sciences 2 Operations Research Letters 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asia-Pacific Journal of Operational Research 2 Mathematical and Computer Modelling 2 Signal Processing 2 Vietnam Journal of Mathematics 2 International Journal of Applied Mathematics and Computer Science 2 Stochastic Environmental Research and Risk Assessment 2 Nonlinear Functional Analysis and Applications 2 4OR 2 Thai Journal of Mathematics 2 Frontiers of Mathematics in China 2 Journal of Nonlinear Science and Applications 2 Set-Valued and Variational Analysis 2 Science China. Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Nonlinearity 1 The Annals of Statistics 1 Automatica 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Sequential Analysis 1 Computers & Operations Research 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Mathematics and Modeling 1 Neural Computation 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Journal of the Egyptian Mathematical Society 1 ETNA. Electronic Transactions on Numerical Analysis 1 Bulletin des Sciences Mathématiques 1 Complexity 1 INFORMS Journal on Computing 1 Mathematical Finance 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 RAIRO. Operations Research 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 18 more Serials
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### Cited in 34 Fields

 399 Operations research, mathematical programming (90-XX) 185 Calculus of variations and optimal control; optimization (49-XX) 122 Numerical analysis (65-XX) 115 Operator theory (47-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 17 Information and communication theory, circuits (94-XX) 16 Computer science (68-XX) 12 General topology (54-XX) 12 Systems theory; control (93-XX) 11 Probability theory and stochastic processes (60-XX) 9 Statistics (62-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Combinatorics (05-XX) 5 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)