Edit Profile (opens in new tab) Chen, Jein-Shan Compute Distance To: Compute Author ID: chen.jein-shan Published as: Chen, Jein-Shan; Chen, J.-S.; Chen, J. S. Further Spellings: Chen, Jason Homepage: https://math.ntnu.edu.tw/~jschen/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 128 Publications since 1995, including 1 Book 1 Contribution as Editor Co-Authors: 66 Co-Authors with 120 Joint Publications 1,603 Co-Co-Authors all top 5 Co-Authors 9 single-authored 40 Pan, Shaohua 19 Chang, Yulin 19 Miao, Xinhe 12 Huang, Chien-Hao 11 Zhou, Jinchuan 9 Ko, Chun-Hsu 8 Lu, Yue 8 Yang, Chingyu 6 Saheya, B. 5 Hu, Chu-Chin 4 Nguyen, Chieu Thanh 3 Alcantara, Jan Harold 3 Bi, Shujun 3 Lim, Yongdo 3 Qi, Nuo 3 Sun, Juhe 3 Wu, Jia 2 Chen, Xin 2 Chiang, Yungyen 2 Gu, Weizhe 2 Huang, Zheng-Hai 2 Kum, Sangho 2 Lee, Chen-Han 2 Lee, Gue Myung 2 Li, Ming-Yen 2 Lin, Yen-chi Roger 2 Ma, Pengfei 2 Tang, Jingyong 2 Tseng, Paul 2 Wu, Caiying 2 Wu, Xiao-Ren 1 Bai, Yanqin 1 Chang, Yu-Hsien 1 Chen, Wei-Po 1 Chu, Hsun-Wei 1 Gao, Hung-Ta 1 Guo, Shengjuan 1 Hsiao, Yu-Hsuan 1 Hsu, Wei-Ming 1 Hu, ShengLong 1 Huang, Chiahui 1 Huang, Honglin 1 Hung, Hao-Feng 1 Lee, Yuh-Jye 1 Li, Jingfan 1 Liao, Tsun-Ko 1 Lin, Tzu-Ching 1 Liu, Yan-Di 1 Martínez-Legaz, Juan-Enrique 1 Qi, Houduo 1 She, C.-Y. 1 Sun, Defeng 1 Sun, Jie 1 Tawhid, Mohamed Aly 1 Tsai, Huai-Yin 1 Wang, Jing 1 Wang, Sheng-Pen 1 Weng, Kang-Jun 1 Xiu, Naihua 1 Yang, Jiantao 1 Yao, Kai 1 Ye, Jane J. 1 Yu, Cheng-He 1 Zhan, Jiaming 1 Zhang, Jiawei 1 Zhang, Jin all top 5 Serials 18 Journal of Nonlinear and Convex Analysis 11 Computational Optimization and Applications 9 Pacific Journal of Optimization 7 Journal of Global Optimization 7 Linear and Nonlinear Analysis 6 Journal of Computational and Applied Mathematics 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Abstract and Applied Analysis 4 Numerical Functional Analysis and Optimization 4 Operations Research Letters 4 Optimization 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Linear Algebra and its Applications 3 SIAM Journal on Optimization 3 Optimization Letters 2 Information Sciences 2 Applied Numerical Mathematics 2 Mathematical Programming. Series A. Series B 2 Journal of Inequalities and Applications 2 Journal of Applied Mathematics and Computing 2 Journal of Industrial and Management Optimization 2 Numerical Algebra, Control and Optimization 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Calcolo 1 Chinese Journal of Mathematics 1 Asia-Pacific Journal of Operational Research 1 Journal of Scientific Computing 1 Computational and Applied Mathematics 1 Mathematical Problems in Engineering 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 Mathematical Inequalities & Applications 1 Advanced Modeling and Optimization 1 Set-Valued and Variational Analysis 1 Springer Optimization and Its Applications 1 Journal of Nonlinear and Variational Analysis all top 5 Fields 113 Operations research, mathematical programming (90-XX) 38 Numerical analysis (65-XX) 32 Real functions (26-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 5 Nonassociative rings and algebras (17-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 843 times in 331 Documents Cited by ▼ Year ▼ An unconstrained smooth minimization reformulation of the second-order cone complementarity problem. Zbl 1093.90063Chen, Jein-Shan; Tseng, Paul 108 2005 Analysis of nonsmooth vector-valued functions associated with second-order cones. Zbl 1065.49013Chen, Jein-Shan; Chen, Xin; Tseng, Paul 57 2004 A family of NCP functions and a descent method for the nonlinear complementarity problem. Zbl 1153.90542Chen, Jein-Shan; Pan, Shaohua 42 2008 Two classes of merit functions for the second-order cone complementarity problem. Zbl 1162.90572Chen, Jein-Shan 36 2006 A damped Gauss-Newton method for the second-order cone complementarity problem. Zbl 1169.49031Pan, Shaohua; Chen, Jein-Shan 33 2009 A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs. Zbl 1286.90148Chen, Jein-Shan; Pan, Shaohua 32 2012 The semismooth-related properties of a merit function and a descent method for the nonlinear complementarity problem. Zbl 1144.90493Chen, Jein-Shan 28 2006 A one-parametric class of merit functions for the symmetric cone complementarity problem. Zbl 1180.90341Pan, Shaohua; Chen, Jein-Shan 26 2009 Properties of circular cone and spectral factorization associated with circular cone. Zbl 1294.49007Zhou, Jinchuan; Chen, Jein-Shan 26 2013 A semismooth Newton method for SOCCPs based on a one-parametric class of SOC complementarity functions. Zbl 1208.90170Pan, Shaohua; Chen, Jein-Shan 22 2010 On some NCP-functions based on the generalized Fischer-Burmeister function. Zbl 1141.90557Chen, Jein-Shan 20 2007 The convex and monotone functions associated with second-order cone. Zbl 1147.49014Chen, Jein-Shan 20 2006 Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems. Zbl 1172.65029Hu, Sheng-Long; Huang, Zheng-Hai; Chen, Jein-Shan 19 2009 A neural network based on the generalized Fischer-Burmeister function for nonlinear complementarity problems. Zbl 1187.90291Chen, Jein-Shan; Ko, Chun-Hsu; Pan, Shaohua 15 2010 An \(R\)-linearly convergent derivative-free algorithm for nonlinear complementarity problems based on the generalized Fischer-Burmeister merit function. Zbl 1175.65070Chen, Jein-Shan; Gao, Hung-Ta; Pan, Shaohua 14 2009 A regularization method for the second-order cone complementarity problem with the Cartesian \(P_0\)-property. Zbl 1156.90447Pan, Shaohua; Chen, Jein-Shan 14 2009 A one-parametric class of merit functions for the second-order cone complementarity problem. Zbl 1226.90114Chen, Jein-Shan; Pan, Shaohua 13 2010 A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for \(P_0\)-NCPs. Zbl 1167.65033Chen, Jein-Shan; Pan, Shaohua 13 2008 A new merit function and its related properties for the second-order cone complementarity problem. Zbl 1178.90324Chen, Jein-Shan 12 2006 Neural networks for solving second-order cone constrained variational inequality problem. Zbl 1268.90107Sun, Juhe; Chen, Jein-Shan; Ko, Chun-Hsu 12 2012 Circular cone convexity and some inequalities associated with circular cones. Zbl 1297.26025Zhou, Jinchuan; Chen, Jein-Shan; Hung, Hao-Feng 12 2013 Constructions of complementarity functions and merit functions for circular cone complementarity problem. Zbl 1360.90250Miao, Xin-He; Guo, Shengjuan; Qi, Nuo; Chen, Jein-Shan 11 2016 The \(SC^1\) property of the squared norm of the SOC Fischer-Burmeister function. Zbl 1152.90621Chen, Jein-Shan; Sun, Defeng; Sun, Jie 11 2008 A descent method for a reformulation of the second-order cone complementarity problem. Zbl 1144.65037Chen, Jein-Shan; Pan, Shaohua 10 2008 Smooth and nonsmooth analyses of vector-valued functions associated with circular cones. Zbl 1282.49011Chang, Yu-Lin; Yang, Ching-Yu; Chen, Jein-Shan 10 2013 Some characterizations for SOC-monotone and SOC-convex functions. Zbl 1189.26011Chen, Jein-Shan; Chen, Xin; Pan, Shaohua; Zhang, Jiawei 9 2009 Numerical comparisons based on four smoothing functions for absolute value equation. Zbl 1390.26020Saheya, B.; Yu, Cheng-He; Chen, Jein-Shan 9 2018 A new class of penalized NCP-functions and its properties. Zbl 1254.90253Chen, J.-S.; Huang, Z.-H.; She, C.-Y. 8 2011 A smoothing Newton method based on the generalized Fischer-Burmeister function for MCPs. Zbl 1198.90372Chen, Jein-Shan; Pan, Shaohua; Lin, Tzu-Ching 8 2010 Entropy-like proximal algorithms based on a second-order homogeneous distance function for quasi-convex programming. Zbl 1190.90144Pan, Shaohua; Chen, Jein-Shan 8 2007 Conditions for error bounds and bounded level sets of some merit functions for the second-order cone complementarity problem. Zbl 1145.90092Chen, J.-S. 6 2007 A smoothing Newton method for absolute value equation associated with second-order cone. Zbl 1370.65024Miao, Xin-He; Yang, Jian-Tao; Saheya, B.; Chen, Jein-Shan 6 2017 On the generalized fischer-burmeister merit function for the second-order cone complementarity problem. Zbl 1317.90297Pan, Shaohua; Kum, Sangho; Lim, Yongdo; Chen, Jein-Shan 6 2014 A linearly convergent derivative-free descent method for the second-order cone complementarity problem. Zbl 1229.90239Pan, Shaohua; Chen, Jein-Shan 6 2010 Unified smoothing functions for absolute value equation associated with second-order cone. Zbl 1411.90338Nguyen, Chieu Thanh; Saheya, B.; Chang, Yu-Lin; Chen, Jein-Shan 6 2019 A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints. Zbl 1341.90101Miao, Xinhe; Chen, Jein-Shan; Ko, Chun-Hsu 5 2014 A proximal gradient descent method for the extended second-order cone linear complementarity problem. Zbl 1194.90101Pan, Shaohua; Chen, Jein-Shan 5 2010 Growth behavior of two classes of merit functions for symmetric cone complementarity problems. Zbl 1229.90238Pan, S. H.; Chen, J.-S. 5 2009 Alternative proofs for some results of vector-valued functions associated with second-order cone. Zbl 1071.49014Chen, Jein-Shan 5 2005 A proximal-like algorithm for a class of nonconvex programming. Zbl 1153.90015Chen, Jein-Shan; Pan, Shaohua 5 2008 A self-concordant interior point algorithm for nonsymmetric circular cone programming. Zbl 1354.90095Ma, Pengfei; Bai, Yanqin; Chen, Jein-Shan 5 2016 Stationary point conditions for the FB merit function associated with symmetric cones. Zbl 1203.90159Pan, Shaohua; Chang, Yu-Lin; Chen, Jein-Shan 5 2010 Solution properties and error bounds for semi-infinite complementarity problems. Zbl 1263.90105Zhou, Jinchuan; Xiu, Naihua; Chen, Jein-Shan 5 2013 Parabolic second-order directional differentiability in the Hadamard sense of the vector-valued functions associated with circular cones. Zbl 1362.90345Zhou, Jinchuan; Tang, Jingyong; Chen, Jein-Shan 4 2017 Nonsingularity conditions for the Fischer-Burmeister system of nonlinear SDPs. Zbl 1246.90114Bi, Shujun; Pan, Shaohua; Chen, Jein-Shan 4 2011 A class of interior proximal-like algorithms for convex second-order cone programming. Zbl 1169.65057Pan, Shaohua; Chen, Jein-Shan 4 2008 A merit function method for infinite-dimensional SOCCPs. Zbl 1239.46052Chiang, Yungyen; Pan, Shaohua; Chen, Jein-Shan 4 2011 Convexity of symmetric cone trace functions in Euclidean Jordan algebras. Zbl 1270.26006Chang, Yu-Lin; Chen, Jein-Shan 4 2013 Nonsingularity conditions for FB system of reformulating nonlinear second-order cone programming. Zbl 1272.90047Pan, Shaohua; Bi, Shujun; Chen, Jein-Shan 4 2013 New smoothing functions for solving a system of equalities and inequalities. Zbl 1336.26012Chen, Jein-Shan; Ko, Chun-Hsu; Liu, Yan-Di; Wang, Sheng-Pen 3 2016 On the existence of saddle points for nonlinear second-order cone programming problems. Zbl 1342.90153Zhou, Jinchuan; Chen, Jein-Shan 3 2015 Characterizations of solution sets of cone-constrained convex programming problems. Zbl 1332.90201Miao, Xin-He; Chen, Jein-Shan 3 2015 Numerical comparisons of two effective methods for mixed complementarity problems. Zbl 1223.90069Chen, Jein-Shan; Pan, Shaohua; Yang, Ching-Yu 3 2010 The vector-valued functions associated with circular cones. Zbl 1474.49035Zhou, Jinchuan; Chen, Jein-Shan 3 2014 Symmetrization of generalized natural residual function for NCP. Zbl 1408.90287Chang, Yu-Lin; Chen, Jein-Shan; Yang, Ching-Yu 3 2015 Proximal-like algorithm using the quasi D-function for convex second-order cone programming. Zbl 1211.90237Pan, S. H.; Chen, J. S. 3 2008 SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions. Zbl 1247.26019Pan, Shaohua; Chiang, Yungyen; Chen, Jein-Shan 3 2012 A note on the paper “The algebraic structure of the arbitrary-order cone”. Zbl 1374.17030Miao, Xin-He; Lin, Yen-chi Roger; Chen, Jein-Shan 3 2017 The \(H\)-differentiability and calmness of circular cone functions. Zbl 1338.49030Zhou, Jinchuan; Chang, Yu-Lin; Chen, Jein-Shan 2 2015 What is the generalization of natural residual function for NCP? Zbl 1333.90135Chen, Jein-Shan; Ko, Chun-Hsu; Wu, Xiao-Ren 2 2016 An \(R\)-linearly convergent nonmonotone derivative-free method for symmetric cone complementarity problems. Zbl 1332.90310Pan, Shaohua; Chen, Jein-Shan 2 2011 Monotonicity and circular cone monotonicity associated with circular cones. Zbl 1366.26021Zhou, Jinchuan; Chen, Jein-Shan 2 2017 A continuation approach for solving binary quadratic program based on a class of NCP-functions. Zbl 1311.90087Chen, Jein-Shan; Li, Jing-Fan; Wu, Jia 2 2012 Two unconstrained optimization approaches for the Euclidean \(\kappa \)-centrum location problem. Zbl 1126.65055Pan, Shaohua; Chen, Jein-Shan 2 2007 The almost periodic solutions of nonautonomous abstract differential equations. Zbl 0832.34053Chang, Yu-Hsien; Chen, Jein-Shan 2 1995 SOC functions and their applications. Zbl 1423.90002Chen, Jein-Shan 2 2019 Exact formula for the second-order tangent set of the second-order cone complementarity set. Zbl 1427.90229Chen, Jein-Shan; Ye, Jane J.; Zhang, Jin; Zhou, Jinchuan 2 2019 Signal reconstruction by conjugate gradient algorithm based on smoothing \(l_1\)-norm. Zbl 1434.90199Wu, Caiying; Zhan, Jiaming; Lu, Yue; Chen, Jein-Shan 2 2019 On merit functions for \(p\)-order cone complementarity problem. Zbl 1375.90290Miao, Xin-He; Chang, Yu-Lin; Chen, Jein-Shan 2 2017 A least-square semismooth Newton method for the second-order cone complementarity problem. Zbl 1251.90368Pan, Shaohua; Chen, Jein-Shan 2 2011 Strong semismoothness of Fischer-Burmeister complementarity function associated with symmetric cones. Zbl 1261.26012Chang, Yu-Lin; Chen, Jein-Shan; Pan, Shaohua 2 2012 The same growth of FB and NR symmetric cone complementarity functions. Zbl 1280.90121Bi, Shujun; Pan, Shaohua; Chen, Jein-Shan 2 2012 The penalized Fischer-Burmeister SOC complementarity function. Zbl 1242.90263Pan, Shaohua; Chen, Jein-Shan; Kum, Sangho; Lim, Yongdo 2 2011 The Hölder continuity of vector-valued function associated with second-order cone. Zbl 1258.26010Chang, Yu-Lin; Chen, Jein-Shan 2 2012 Using Schur complement theorem to prove convexity of some SOC-functions. Zbl 1298.26018Chen, Jein-Shan; Liao, Tsun-Ko; Pan, Shaohua 2 2012 Two classes of merit functions for infinite-dimensional second order complementarity problems. (Two classes of merit functions for infinite-dimensional second order complimentary problems.) Zbl 1202.26020Sun, Juhe; Chen, Jein-Shan 2 2010 An entropy-like proximal algorithm and the exponential multiplier method for convex symmetric cone programming. Zbl 1269.90077Chen, Jein-Shan; Pan, Shaohua 2 2010 Error bounds for symmetric cone complementarity problems. Zbl 1274.65185Miao, Xin-He; Chen, Jein-Shan 2 2013 A proximal point algorithm for the monotone second-order cone complementarity problem. Zbl 1268.90108Wu, Jia; Chen, Jein-Shan 2 2012 Semismooth Newton methods for the cone spectrum of linear transformations relative to Lorentz cones. Zbl 1338.65158Chen, Jein-Shan; Pan, Shaohua 1 2015 Differentiability v.s. convexity for complementarity functions. Zbl 1373.90163Huang, Chien-Hao; Chen, Jein-Shan; Martinez-Legaz, Juan Enrique 1 2017 Symmetric cone monotone functions and symmetric cone convex functions. Zbl 1347.26030Chang, Yu-Lin; Chen, Jein-Shan; Pan, Shaohua 1 2016 A continuation approach for the capacitated multi-facility weber problem based on nonlinear SOCP reformulation. Zbl 1279.90133Chen, Jein-Shan; Pan, Shaohua; Ko, Chun-Hsu 1 2011 Discovery of new complementarity functions for NCP and SOCCP. Zbl 1438.90358Ma, Peng-Fei; Chen, Jein-Shan; Huang, Chien-Hao; Ko, Chun-Hsu 1 2018 Neural network for solving SOCQP and SOCCVI based on two discrete-type classes of SOC complementarity functions. Zbl 1435.90104Sun, Juhe; Wu, Xiao-Ren; Saheya, B.; Chen, Jein-Shan; Ko, Chun-Hsu 1 2019 The decompositions with respect to two core non-symmetric cones. Zbl 1433.90115Lu, Yue; Yang, Ching-Yu; Chen, Jein-Shan; Qi, Hou-Duo 1 2020 Smoothing strategy along with conjugate gradient algorithm for signal reconstruction. Zbl 1462.90143Wu, Caiying; Wang, Jing; Alcantara, Jan Harold; Chen, Jein-Shan 1 2021 On unitary elements defined on Lorentz cone and their applications. Zbl 1410.90152Huang, Chien-Hao; Chen, Jein-Shan 1 2019 Further relationship between second-order cone and positive semidefinite matrix cone. Zbl 1373.90099Zhou, Jinchuan; Tang, Jingyong; Chen, Jein-Shan 1 2016 On the Lorentz cone complementarity problems in infinite-dimensional real Hilbert space. Zbl 1230.90188Miao, Xin-He; Chen, Jein-Shan 1 2011 Analysis of nonsmooth vector-valued functions associated with infinite-dimensional second-order cones. Zbl 1239.46018Yang, Ching-Yu; Chang, Yu-Lin; Chen, Jein-Shan 1 2011 Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions. Zbl 1196.26018Chen, Jein-Shan; Pan, Shaohua 1 2010 On set-valued complementarity problems. Zbl 1263.49015Zhou, Jinchuan; Chen, Jein-Shan; Lee, Gue Myung 1 2013 Proximal point algorithm for nonlinear complementarity problem based on the generalized Fischer-Burmeister merit function. Zbl 1264.49035Chang, Yu-Lin; Chen, Jein-Shan; Wu, Jia 1 2013 On the \(H\)-differentiability of Löwner function with application in symmetric cone complementarity problem. Zbl 1274.90424Chang, Yu-Lin; Chen, Jein-Shan; Gu, Weizhe 1 2013 Geometric views of the generalized fischer-burmeister function and its induced merit function. Zbl 1334.90178Tsai, Huai-Yin; Chen, Jein-Shan 1 2014 Two smooth support vector machines for \(\varepsilon \)-insensitive regression. Zbl 1418.90255Gu, Weizhe; Chen, Wei-Po; Ko, Chun-Hsu; Lee, Yuh-Jye; Chen, Jein-Shan 1 2018 Construction of merit functions for ellipsoidal cone complementarity problem. Zbl 1458.90596Miao, Xin-He; Lu, Yue; Chen, Jein-Shan 1 2020 Smooth analysis on cone function associated with ellipsoidal cone. Zbl 1460.90135Lu, Yue; Chen, Jein-Shan 1 2020 Projection formula and one type of spectral factorization associated with \(p\)-order cone. Zbl 1470.49033Miao, Xinhe; Qi, Nuo; Chen, J.-S. 1 2017 Smoothing strategy along with conjugate gradient algorithm for signal reconstruction. Zbl 1462.90143Wu, Caiying; Wang, Jing; Alcantara, Jan Harold; Chen, Jein-Shan 1 2021 The solvabilities of three optimization problems associated with second-order cone. Zbl 1481.90301Miao, Xinhe; Hsu, Wei-Ming; Nguyen, Chieu Thanh; Chen, Jein-Shan 1 2021 The decompositions with respect to two core non-symmetric cones. Zbl 1433.90115Lu, Yue; Yang, Ching-Yu; Chen, Jein-Shan; Qi, Hou-Duo 1 2020 Construction of merit functions for ellipsoidal cone complementarity problem. Zbl 1458.90596Miao, Xin-He; Lu, Yue; Chen, Jein-Shan 1 2020 Smooth analysis on cone function associated with ellipsoidal cone. Zbl 1460.90135Lu, Yue; Chen, Jein-Shan 1 2020 Unified smoothing functions for absolute value equation associated with second-order cone. Zbl 1411.90338Nguyen, Chieu Thanh; Saheya, B.; Chang, Yu-Lin; Chen, Jein-Shan 6 2019 SOC functions and their applications. Zbl 1423.90002Chen, Jein-Shan 2 2019 Exact formula for the second-order tangent set of the second-order cone complementarity set. Zbl 1427.90229Chen, Jein-Shan; Ye, Jane J.; Zhang, Jin; Zhou, Jinchuan 2 2019 Signal reconstruction by conjugate gradient algorithm based on smoothing \(l_1\)-norm. Zbl 1434.90199Wu, Caiying; Zhan, Jiaming; Lu, Yue; Chen, Jein-Shan 2 2019 Neural network for solving SOCQP and SOCCVI based on two discrete-type classes of SOC complementarity functions. Zbl 1435.90104Sun, Juhe; Wu, Xiao-Ren; Saheya, B.; Chen, Jein-Shan; Ko, Chun-Hsu 1 2019 On unitary elements defined on Lorentz cone and their applications. Zbl 1410.90152Huang, Chien-Hao; Chen, Jein-Shan 1 2019 Numerical comparisons based on four smoothing functions for absolute value equation. Zbl 1390.26020Saheya, B.; Yu, Cheng-He; Chen, Jein-Shan 9 2018 Discovery of new complementarity functions for NCP and SOCCP. Zbl 1438.90358Ma, Peng-Fei; Chen, Jein-Shan; Huang, Chien-Hao; Ko, Chun-Hsu 1 2018 Two smooth support vector machines for \(\varepsilon \)-insensitive regression. Zbl 1418.90255Gu, Weizhe; Chen, Wei-Po; Ko, Chun-Hsu; Lee, Yuh-Jye; Chen, Jein-Shan 1 2018 A smoothing Newton method for absolute value equation associated with second-order cone. Zbl 1370.65024Miao, Xin-He; Yang, Jian-Tao; Saheya, B.; Chen, Jein-Shan 6 2017 Parabolic second-order directional differentiability in the Hadamard sense of the vector-valued functions associated with circular cones. Zbl 1362.90345Zhou, Jinchuan; Tang, Jingyong; Chen, Jein-Shan 4 2017 A note on the paper “The algebraic structure of the arbitrary-order cone”. Zbl 1374.17030Miao, Xin-He; Lin, Yen-chi Roger; Chen, Jein-Shan 3 2017 Monotonicity and circular cone monotonicity associated with circular cones. Zbl 1366.26021Zhou, Jinchuan; Chen, Jein-Shan 2 2017 On merit functions for \(p\)-order cone complementarity problem. Zbl 1375.90290Miao, Xin-He; Chang, Yu-Lin; Chen, Jein-Shan 2 2017 Differentiability v.s. convexity for complementarity functions. Zbl 1373.90163Huang, Chien-Hao; Chen, Jein-Shan; Martinez-Legaz, Juan Enrique 1 2017 Projection formula and one type of spectral factorization associated with \(p\)-order cone. Zbl 1470.49033Miao, Xinhe; Qi, Nuo; Chen, J.-S. 1 2017 Constructions of complementarity functions and merit functions for circular cone complementarity problem. Zbl 1360.90250Miao, Xin-He; Guo, Shengjuan; Qi, Nuo; Chen, Jein-Shan 11 2016 A self-concordant interior point algorithm for nonsymmetric circular cone programming. Zbl 1354.90095Ma, Pengfei; Bai, Yanqin; Chen, Jein-Shan 5 2016 New smoothing functions for solving a system of equalities and inequalities. Zbl 1336.26012Chen, Jein-Shan; Ko, Chun-Hsu; Liu, Yan-Di; Wang, Sheng-Pen 3 2016 What is the generalization of natural residual function for NCP? Zbl 1333.90135Chen, Jein-Shan; Ko, Chun-Hsu; Wu, Xiao-Ren 2 2016 Symmetric cone monotone functions and symmetric cone convex functions. Zbl 1347.26030Chang, Yu-Lin; Chen, Jein-Shan; Pan, Shaohua 1 2016 Further relationship between second-order cone and positive semidefinite matrix cone. Zbl 1373.90099Zhou, Jinchuan; Tang, Jingyong; Chen, Jein-Shan 1 2016 On the existence of saddle points for nonlinear second-order cone programming problems. Zbl 1342.90153Zhou, Jinchuan; Chen, Jein-Shan 3 2015 Characterizations of solution sets of cone-constrained convex programming problems. Zbl 1332.90201Miao, Xin-He; Chen, Jein-Shan 3 2015 Symmetrization of generalized natural residual function for NCP. Zbl 1408.90287Chang, Yu-Lin; Chen, Jein-Shan; Yang, Ching-Yu 3 2015 The \(H\)-differentiability and calmness of circular cone functions. Zbl 1338.49030Zhou, Jinchuan; Chang, Yu-Lin; Chen, Jein-Shan 2 2015 Semismooth Newton methods for the cone spectrum of linear transformations relative to Lorentz cones. Zbl 1338.65158Chen, Jein-Shan; Pan, Shaohua 1 2015 On the generalized fischer-burmeister merit function for the second-order cone complementarity problem. Zbl 1317.90297Pan, Shaohua; Kum, Sangho; Lim, Yongdo; Chen, Jein-Shan 6 2014 A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints. Zbl 1341.90101Miao, Xinhe; Chen, Jein-Shan; Ko, Chun-Hsu 5 2014 The vector-valued functions associated with circular cones. Zbl 1474.49035Zhou, Jinchuan; Chen, Jein-Shan 3 2014 Geometric views of the generalized fischer-burmeister function and its induced merit function. Zbl 1334.90178Tsai, Huai-Yin; Chen, Jein-Shan 1 2014 Properties of circular cone and spectral factorization associated with circular cone. Zbl 1294.49007Zhou, Jinchuan; Chen, Jein-Shan 26 2013 Circular cone convexity and some inequalities associated with circular cones. Zbl 1297.26025Zhou, Jinchuan; Chen, Jein-Shan; Hung, Hao-Feng 12 2013 Smooth and nonsmooth analyses of vector-valued functions associated with circular cones. Zbl 1282.49011Chang, Yu-Lin; Yang, Ching-Yu; Chen, Jein-Shan 10 2013 Solution properties and error bounds for semi-infinite complementarity problems. Zbl 1263.90105Zhou, Jinchuan; Xiu, Naihua; Chen, Jein-Shan 5 2013 Convexity of symmetric cone trace functions in Euclidean Jordan algebras. Zbl 1270.26006Chang, Yu-Lin; Chen, Jein-Shan 4 2013 Nonsingularity conditions for FB system of reformulating nonlinear second-order cone programming. Zbl 1272.90047Pan, Shaohua; Bi, Shujun; Chen, Jein-Shan 4 2013 Error bounds for symmetric cone complementarity problems. Zbl 1274.65185Miao, Xin-He; Chen, Jein-Shan 2 2013 On set-valued complementarity problems. Zbl 1263.49015Zhou, Jinchuan; Chen, Jein-Shan; Lee, Gue Myung 1 2013 Proximal point algorithm for nonlinear complementarity problem based on the generalized Fischer-Burmeister merit function. Zbl 1264.49035Chang, Yu-Lin; Chen, Jein-Shan; Wu, Jia 1 2013 On the \(H\)-differentiability of Löwner function with application in symmetric cone complementarity problem. Zbl 1274.90424Chang, Yu-Lin; Chen, Jein-Shan; Gu, Weizhe 1 2013 A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs. Zbl 1286.90148Chen, Jein-Shan; Pan, Shaohua 32 2012 Neural networks for solving second-order cone constrained variational inequality problem. Zbl 1268.90107Sun, Juhe; Chen, Jein-Shan; Ko, Chun-Hsu 12 2012 SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions. Zbl 1247.26019Pan, Shaohua; Chiang, Yungyen; Chen, Jein-Shan 3 2012 A continuation approach for solving binary quadratic program based on a class of NCP-functions. Zbl 1311.90087Chen, Jein-Shan; Li, Jing-Fan; Wu, Jia 2 2012 Strong semismoothness of Fischer-Burmeister complementarity function associated with symmetric cones. Zbl 1261.26012Chang, Yu-Lin; Chen, Jein-Shan; Pan, Shaohua 2 2012 The same growth of FB and NR symmetric cone complementarity functions. Zbl 1280.90121Bi, Shujun; Pan, Shaohua; Chen, Jein-Shan 2 2012 The Hölder continuity of vector-valued function associated with second-order cone. Zbl 1258.26010Chang, Yu-Lin; Chen, Jein-Shan 2 2012 Using Schur complement theorem to prove convexity of some SOC-functions. Zbl 1298.26018Chen, Jein-Shan; Liao, Tsun-Ko; Pan, Shaohua 2 2012 A proximal point algorithm for the monotone second-order cone complementarity problem. Zbl 1268.90108Wu, Jia; Chen, Jein-Shan 2 2012 A new class of penalized NCP-functions and its properties. Zbl 1254.90253Chen, J.-S.; Huang, Z.-H.; She, C.-Y. 8 2011 Nonsingularity conditions for the Fischer-Burmeister system of nonlinear SDPs. Zbl 1246.90114Bi, Shujun; Pan, Shaohua; Chen, Jein-Shan 4 2011 A merit function method for infinite-dimensional SOCCPs. Zbl 1239.46052Chiang, Yungyen; Pan, Shaohua; Chen, Jein-Shan 4 2011 An \(R\)-linearly convergent nonmonotone derivative-free method for symmetric cone complementarity problems. Zbl 1332.90310Pan, Shaohua; Chen, Jein-Shan 2 2011 A least-square semismooth Newton method for the second-order cone complementarity problem. Zbl 1251.90368Pan, Shaohua; Chen, Jein-Shan 2 2011 The penalized Fischer-Burmeister SOC complementarity function. Zbl 1242.90263Pan, Shaohua; Chen, Jein-Shan; Kum, Sangho; Lim, Yongdo 2 2011 A continuation approach for the capacitated multi-facility weber problem based on nonlinear SOCP reformulation. Zbl 1279.90133Chen, Jein-Shan; Pan, Shaohua; Ko, Chun-Hsu 1 2011 On the Lorentz cone complementarity problems in infinite-dimensional real Hilbert space. Zbl 1230.90188Miao, Xin-He; Chen, Jein-Shan 1 2011 Analysis of nonsmooth vector-valued functions associated with infinite-dimensional second-order cones. Zbl 1239.46018Yang, Ching-Yu; Chang, Yu-Lin; Chen, Jein-Shan 1 2011 A semismooth Newton method for SOCCPs based on a one-parametric class of SOC complementarity functions. Zbl 1208.90170Pan, Shaohua; Chen, Jein-Shan 22 2010 A neural network based on the generalized Fischer-Burmeister function for nonlinear complementarity problems. Zbl 1187.90291Chen, Jein-Shan; Ko, Chun-Hsu; Pan, Shaohua 15 2010 A one-parametric class of merit functions for the second-order cone complementarity problem. Zbl 1226.90114Chen, Jein-Shan; Pan, Shaohua 13 2010 A smoothing Newton method based on the generalized Fischer-Burmeister function for MCPs. Zbl 1198.90372Chen, Jein-Shan; Pan, Shaohua; Lin, Tzu-Ching 8 2010 A linearly convergent derivative-free descent method for the second-order cone complementarity problem. Zbl 1229.90239Pan, Shaohua; Chen, Jein-Shan 6 2010 A proximal gradient descent method for the extended second-order cone linear complementarity problem. Zbl 1194.90101Pan, Shaohua; Chen, Jein-Shan 5 2010 Stationary point conditions for the FB merit function associated with symmetric cones. Zbl 1203.90159Pan, Shaohua; Chang, Yu-Lin; Chen, Jein-Shan 5 2010 Numerical comparisons of two effective methods for mixed complementarity problems. Zbl 1223.90069Chen, Jein-Shan; Pan, Shaohua; Yang, Ching-Yu 3 2010 Two classes of merit functions for infinite-dimensional second order complementarity problems. (Two classes of merit functions for infinite-dimensional second order complimentary problems.) Zbl 1202.26020Sun, Juhe; Chen, Jein-Shan 2 2010 An entropy-like proximal algorithm and the exponential multiplier method for convex symmetric cone programming. Zbl 1269.90077Chen, Jein-Shan; Pan, Shaohua 2 2010 Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions. Zbl 1196.26018Chen, Jein-Shan; Pan, Shaohua 1 2010 A damped Gauss-Newton method for the second-order cone complementarity problem. Zbl 1169.49031Pan, Shaohua; Chen, Jein-Shan 33 2009 A one-parametric class of merit functions for the symmetric cone complementarity problem. Zbl 1180.90341Pan, Shaohua; Chen, Jein-Shan 26 2009 Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems. Zbl 1172.65029Hu, Sheng-Long; Huang, Zheng-Hai; Chen, Jein-Shan 19 2009 An \(R\)-linearly convergent derivative-free algorithm for nonlinear complementarity problems based on the generalized Fischer-Burmeister merit function. Zbl 1175.65070Chen, Jein-Shan; Gao, Hung-Ta; Pan, Shaohua 14 2009 A regularization method for the second-order cone complementarity problem with the Cartesian \(P_0\)-property. Zbl 1156.90447Pan, Shaohua; Chen, Jein-Shan 14 2009 Some characterizations for SOC-monotone and SOC-convex functions. Zbl 1189.26011Chen, Jein-Shan; Chen, Xin; Pan, Shaohua; Zhang, Jiawei 9 2009 Growth behavior of two classes of merit functions for symmetric cone complementarity problems. Zbl 1229.90238Pan, S. H.; Chen, J.-S. 5 2009 A family of NCP functions and a descent method for the nonlinear complementarity problem. Zbl 1153.90542Chen, Jein-Shan; Pan, Shaohua 42 2008 A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for \(P_0\)-NCPs. Zbl 1167.65033Chen, Jein-Shan; Pan, Shaohua 13 2008 The \(SC^1\) property of the squared norm of the SOC Fischer-Burmeister function. Zbl 1152.90621Chen, Jein-Shan; Sun, Defeng; Sun, Jie 11 2008 A descent method for a reformulation of the second-order cone complementarity problem. Zbl 1144.65037Chen, Jein-Shan; Pan, Shaohua 10 2008 A proximal-like algorithm for a class of nonconvex programming. Zbl 1153.90015Chen, Jein-Shan; Pan, Shaohua 5 2008 A class of interior proximal-like algorithms for convex second-order cone programming. Zbl 1169.65057Pan, Shaohua; Chen, Jein-Shan 4 2008 Proximal-like algorithm using the quasi D-function for convex second-order cone programming. Zbl 1211.90237Pan, S. H.; Chen, J. S. 3 2008 On some NCP-functions based on the generalized Fischer-Burmeister function. Zbl 1141.90557Chen, Jein-Shan 20 2007 Entropy-like proximal algorithms based on a second-order homogeneous distance function for quasi-convex programming. Zbl 1190.90144Pan, Shaohua; Chen, Jein-Shan 8 2007 Conditions for error bounds and bounded level sets of some merit functions for the second-order cone complementarity problem. Zbl 1145.90092Chen, J.-S. 6 2007 Two unconstrained optimization approaches for the Euclidean \(\kappa \)-centrum location problem. Zbl 1126.65055Pan, Shaohua; Chen, Jein-Shan 2 2007 Two classes of merit functions for the second-order cone complementarity problem. Zbl 1162.90572Chen, Jein-Shan 36 2006 The semismooth-related properties of a merit function and a descent method for the nonlinear complementarity problem. Zbl 1144.90493Chen, Jein-Shan 28 2006 The convex and monotone functions associated with second-order cone. Zbl 1147.49014Chen, Jein-Shan 20 2006 A new merit function and its related properties for the second-order cone complementarity problem. Zbl 1178.90324Chen, Jein-Shan 12 2006 An unconstrained smooth minimization reformulation of the second-order cone complementarity problem. Zbl 1093.90063Chen, Jein-Shan; Tseng, Paul 108 2005 Alternative proofs for some results of vector-valued functions associated with second-order cone. Zbl 1071.49014Chen, Jein-Shan 5 2005 Analysis of nonsmooth vector-valued functions associated with second-order cones. Zbl 1065.49013Chen, Jein-Shan; Chen, Xin; Tseng, Paul 57 2004 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 379 Authors 75 Chen, Jein-Shan 29 Pan, Shaohua 23 Tang, Jingyong 22 Zhou, Jinchuan 16 Huang, Zheng-Hai 14 Fang, Liang 13 Miao, Xinhe 12 Dong, Li 11 Chang, Yulin 10 Ma, Changfeng 10 Zhang, Liwei 9 Nazemi, Alireza 8 Chi, Xiaoni 7 Ko, Chun-Hsu 7 Lu, Nan 7 Pang, Liping 7 Wan, Zhongping 6 Gu, Weizhe 6 Ke, Yifen 6 Lin, Guihua 6 Liu, Sanyang 6 Yang, Chingyu 5 Du, Shouqiang 5 Hao, Zijun 5 Hu, ShengLong 5 Huang, Chien-Hao 5 Li, Yuanmin 5 Liu, Hongwei 5 Lu, Yue 5 Oliveira, Paulo Roberto 5 Saheya, B. 5 Wang, Guoqiang 5 Wei, Deyun 5 Wu, Jia 5 Zhang, Lei-Hong 5 Zhu, Jianguang 4 Bai, Yanqin 4 Bi, Shujun 4 He, Guoping 4 Li, Dan 4 Sun, Defeng 4 Sun, Juhe 4 Wang, Xingtao 4 Yang, Weihong 4 Zhang, Huai 4 Zhang, Jin 4 Zhang, Yaling 3 Alcantara, Jan Harold 3 Chen, Shuang 3 da Cruz Neto, João Xavier 3 Han, Deren 3 Han, Jiye 3 Hao, Binbin 3 Lim, Yongdo 3 Liu, Changhe 3 Liu, Zhenhua 3 Lourenço, Bruno F. 3 Lu, Liyong 3 Luo, Meiju 3 Mu, Xuewen 3 Narushima, Yasushi 3 Nguyen, Chieu Thanh 3 Ogasawara, Hideho 3 Papa Quiroz, Erik Alex 3 Sun, Jie 3 Wang, Xiang 3 Xiu, Naihua 3 Zhang, Xiangsong 3 Zhang, Yi 3 Zhu, Xide 2 Adly, Samir 2 Anh, Nguyen Le Hoang 2 Chen, Cairong 2 Chen, Jiawei 2 Chiang, Yungyen 2 Chuong, Thai Doan 2 Dolgopolik, Maxim Vladimirovich 2 Effati, Sohrab 2 Ferreira, Orizon Pereira 2 Gao, Yan 2 Hayashi, Shunsuke 2 Hu, Chu-Chin 2 Huang, Na 2 Ito, Masaru 2 Ketabchi, Saeed 2 Kong, Lingchen 2 Kostić, Marko 2 Kum, Sangho 2 Li, Rencang 2 Lin, Yen-chi Roger 2 Liu, Xiangjing 2 Liu, Yong-Jin 2 Lopes, Jurandir O. 2 Ma, Pengfei 2 Miri, S. Mohsen 2 Németh, Sándor Zoltán 2 Ni, Tie 2 Nikseresht, Asiye 2 Qi, Liqun 2 Seeger, Alberto ...and 279 more Authors all top 5 Cited in 82 Serials 19 Journal of Computational and Applied Mathematics 19 Journal of Optimization Theory and Applications 16 Optimization 15 Applied Mathematics and Computation 15 Journal of Global Optimization 15 Computational Optimization and Applications 15 Optimization Letters 12 Journal of Applied Mathematics and Computing 9 Computational and Applied Mathematics 9 Abstract and Applied Analysis 8 Applied Numerical Mathematics 8 Journal of Inequalities and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Operations Research Letters 7 Mathematical Programming. Series A. 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