Welcome To Jason's Homepage (Jein-Shan Chen)

Publications of Jason Chen
(ORCID: 0000-0002-4596-9419)

Monographs

  1. J-S Chen, SOC Functions and Their Applications, Springer Optimization and Its Applications 143, Springer Nature, Singapore, 2019.
  2. J-S Chen, Complementarity Functions in Optimization, in preparation, 2024.

Journal papers

  1. C.T. Nguyen, J.H. Alcantara, Z. Hao, and J-S Chen, Smoothing penalty approach for solving second-order cone complementarity problems, to appear in Journal of Global Optimization, DOI:10.1007/s10898-024-01427-8, 2025.
  2. L.T. Nguyen, Y-L Chang, C-C Hu, and J-S Chen, Optimality and KKT conditions for interval valued optimization problems on Hadamard manifolds, to appear in Optimization, DOI: 10.1080/02331934.2024.2375424, 2025.
  3. Y. Lu, H-M Ma, D-Y Xue, and J-S Chen, Augmented Lagrangian method for nonlinear circular conic programs: a local convergence analysis, to appear in Optimization, DOI: 10.1080/02331934.2024.2370426, 2025.
  4. J.H. Alcantara, C.T. Nguyen, T. Okuno, A. Takeda, and J-S Chen, Unified smoothing approach for best hyperparameter selection problem using a bilevel optimization strategy, to appear in Mathematical Programming, DOI: 10.1007/s10107-024-02113-z, 2025.
  5. V.M. Tam and J-S Chen, An inverse problem for a class of quasi-hemivariational inequalities on constant curvature Hadamard manifolds, to appear in Journal of Nonlinear and Convex Analysis, 2025.
  6. X. Chi, Y. Yang, and J-S Chen, Complexity analysis of a predictor-corrector interior-point algorithm for P*(k)-weighted linear complementarity problems, Journal of Industrial and Management Optimization, vol. 21, no. 1, pp. 731-750, 2025.
  7. J. Sun, D. Jia, L. Wang, H. Zhuang, and J-S Chen, The second-order differential equation method for solving SOCCVI problem, Journal of Nonlinear and Convex Analysis, vol. 25, no. 11, pp. , 2024.
  8. V.M. Tam and J-S Chen, On the D-gap functions for variational-hemivariational inequalities with an application to contact mechanics, Pacific Journal of Optimization, vol. 20, no. 3, pp. 489-512, 2024.
  9. V.M. Tam and J-S Chen, Holder continuity and upper bound results for generalized parametric elliptical variational-hemivariational inequalities, Journal of Nonlinear and Variational Analysis, vol. 8, no. 2, pp. 315-332, 2024.
  10. V.M. Tam and J-S Chen, Upper bounds for vector equilibrium problems associated with a p-order cone on Hadamard manifolds, Journal of Nonlinear and Convex Analysis, vol. 24, no. 12, pp. 2593-2609, 2023.
  11. V.M. Tam and J-S Chen, Upper error bounds of DG-functions for history-dependent variational-hemivariational inequalities, Applied Set-Valued Analysis and Optimization, vol. 5, no. 3, pp. 347-367, 2023.
  12. L.T. Nguyen, Y-L Chang, C-C Hu, and J-S Chen, Interval optimization problems on Hadamard manifolds, Journal of Nonlinear and Convex Analysis, vol. 24, no. 11, pp. 2489-2511, 2023.
  13. J-Y Tang, J-C Zhou, J.H. Alcantara, and J-S Chen, A family of smooth NCP functions and an inexact Levenberg-Marquardt method for nonlinear complementarity problems, Journal of Nonlinear and Convex Analysis, vol. 24, no. 11, pp. 2361-2385, 2023.
  14. Y. Lu, H-M Ma, D-Y Xue, and J-S Chen, Absolute value equations with data uncertainty in the ℓ1 and ℓ∞ norm balls, Journal of Nonlinear and Variational Analysis, vol. 7, no. 4, pp. 549-561, 2023.
  15. Y-L Chang, C-Y Yang, C.T. Nguyen, and J-S Chen, Novel constructions of complementarity functions associated with symmetric cones, Journal of Nonlinear and Convex Analysis, vol. 24, no. 3, pp. 575-606, 2023.
  16. J.H. Alcantara, J-S Chen, and M. Tam, Method of alternating projections for the general absolute value equation, Journal of Fixed Point Theory and Applications, vol. 25, no. 1, Article 39, 2023.
  17. Y-L Chang, C-C Hu, C-Y Yang, and J-S Chen, Hadamard product on quaternion Hermitian matrices, Linear and Nonlinear Analysis, vol. 8, no. 3, pp. 265-275, 2022.
  18. C. Wu, X. Chen, Q. Jin, and J-S Chen, Applying smoothing technique and semi-proximal ADMM for image deblurring, Calcolo, vol. 59, no. 4, Article 40, 2022.
  19. S-W Li, Y-L Chang, and J-S Chen, Plane section curves on surfaces of NCP functions, Axioms, vol. 11, no. 10, Article 557, 2022.
  20. J. Shen, J-S Chen, H-D Qi, and N. Xiu, A penalized method of alternating projections for weighted low-rank Hankel matrix optimization, Mathematical Programming Computation, vol. 14, no.3 , pp. 417-450, 2022.
  21. Z. Hao, C.T. Nguyen, and J-S Chen, An approximate lower order penalty approach for solving second-order cone linear complementarity problems, Journal of Global Optimization, vol. 83, no. 4, pp. 671-697, 2022.
  22. J.H. Alcantara and J-S Chen, A new class of neural networks for NCPs using smooth perturbations of the natural residual function, Journal of Computational and Applied Mathematics, vol. 407, June, Article 114092, 2022.
  23. X-H Miao, K. Yao, C-Y Yang, and J-S Chen, Levenberg-Marquardt method for absolute value equation associated with second-order cone, Numerical Algebra, Control and Optimization, vol. 12, no. 1, pp. 47-61, 2022.
  24. X-H Miao and J-S Chen, A semi-distance and proximal distance associated with symmetric cone, Journal of Nonlinear and Convex Analysis, vol. 23, no. 2, pp. 241-250, 2022.
  25. W-M Hsu, X-H Miao, and J-S Chen, The solvabilities of eigenvalue optimization problems associated with p-order cone and circular cone, Linear and Nonlinear Analysis, vol. 7, no. 3, pp. 337-353, 2021.
  26. Y-L Chang, C-C Hu, C-Y Yang, and J-S Chen, Characterizations of boundary conditions on some non-symmetric cones, Numerical Functional Analysis and Optimization, vol. 42, no. 13, pp. 1572-1585, 2021.
  27. J-H Sun, W-C Fu, J.H. Alcantara, and J-S Chen, A neural network based on the metric projector for solving SOCCVI problem, IEEE Transactions on Neural Networks and Learning Systems, vol. 32, no. 7, pp. 2886-2900, 2021.
  28. X-H Miao, W-M Hsu, C.T. Nguyen, and J-S Chen, The solvabilities of three optimization problems associated with second-order cone, Journal of Nonlinear and Convex Analysis, vol. 22, no. 5, pp. 937-967, 2021.
  29. C. Wu, J. Wang, J.H. Alcantara, and J-S Chen, Smoothing strategy along with conjugate gradient algorithm for signal reconstruction, Journal of Scientific Computing, vol. 87, no. 1, Article 21, 2021.
  30. X-H Miao and J-S Chen, On matrix characterizations for P-property of the linear transformation in second-order cone linear complementarity problems, Linear Algebra and Its Applications, vol. 613, pp. 271-294, 2021.
  31. C-H Lee, C-C Hu, and J-S Chen, Using invertible functions to construct NCP functions, Linear and Nonlinear Analysis, vol. 6, no. 3, pp. 347-369, 2020.
  32. X-H Miao, Y. Lu, and J-S Chen, Construction of merit functions for ellipsoidal cone complementarity problem, Pacific Journal of Optimization, vol. 16, no. 4, pp. 547-565, 2020.
  33. J.H. Alcantara and J-S Chen, A novel generalization of the natural residual function and a neural network approach for the NCP, Neurocomputing, vol. 413, pp. 368-382, 2020.
  34. C-H Huang, Y-L Chang, and J-S Chen, The P-class and Q-class functions on symmetric cones, Journal of Nonlinear and Variational Analysis, vol. 4, no. 2, pp. 273-284, 2020.
  35. Y. Lu and J-S Chen, Smooth analysis on cone function associated with ellipsoidal cone, Journal of Nonlinear and Convex Analysis, vol. 21, no. 6, pp. 1327-1347, 2020.
  36. J.H. Alcantara, C-H Lee, C.T. Nguyen, Y-L Chang, and J-S Chen, On construction of new NCP functions, Operations Research Letters, vol. 48, no. 2, pp. 115-121, 2020.
  37. Y. Lu, C-Y Yang, J-S Chen, and H-D Qi, The decompositions of two core non-symmetric cones, Journal of Global Optimization, vol. 76, no. 1, pp. 155-188, 2020.
  38. C-H Huang, J-S Chen, and C-C Hu, The Schatten p-norm on Rn, Journal of Nonlinear and Convex Analysis, vol. 21, no. 1, pp. 21-29, 2020.
  39. X-H Miao, C-H Huang, Y. Lim, and J-S Chen, A semi-distance associated with symmetric cone and a new proximal distance function on second-order cone, Linear and Nonlinear Analysis, vol. 5, no. 3, pp. 421-437, 2019.
  40. J-S Chen, J. Ye, J. Zhang, and J-C Zhou, Exact formula for the second-order tangent set of the second-order cone complementarity set, SIAM Journal on Optimization, vol. 29, no. 4, pp. 2986-3011, 2019.
  41. C. Wu, J. Zhan, Y. Lu, and J-S Chen, Signal reconstruction by conjugate gradient algorithm based on smoothing ℓ1-norm, Calcolo, vol. 56, no. 4, Article 42, 26 pages, December, 2019.
  42. C-H Huang, Y-L Chang, and J-S Chen, Some inequalities on weighted means and traces defined on second-order cone, Linear and Nonlinear Analysis, vol. 5, no. 2, pp. 221-236, 2019.
  43. C-H Huang, Y-H Hsiao, Y-L Chang, and J-S Chen, On Young Inequality under Euclidean Jordan Algebra, Linear and Nonlinear Analysis, vol. 5, no. 1, pp. 13-31, 2019.
  44. B. Saheya, C.T. Nguyen, and J-S Chen, Neural network based on systematically generated smoothing functions for absolute value equation, Journal of Applied Mathematics and Computing, vol. 61, no. 1-2, pp. 533-558, 2019. (Addendum)
  45. J. H. Alcantara and J-S Chen, Neural networks based on three classes of NCP-functions for solving nonlinear complementarity problems, Neurocomputing, vol. 359, September, pp. 102-113, 2019.
  46. Y. Lu and J-S Chen, The variational geometry, projection expression and decomposition associated with ellipsoidal cones, Journal of Nonlinear and Convex Analysis, vol. 20, no. 4, pp. 715-738, 2019.
  47. Y. Lu, J-S Chen, and N. Zhang, No gap second-order optimality conditions for circular conic programs, Numerical Functional Analysis and Optimization, vol. 40, no. 10, pp. 1113-1135, 2019.
  48. C-H Huang and J-S Chen, On unitary elements defined on Lorentz cone and their applications, Linear Algebra and Its Applications, vol. 565, March, pp. 1-24, 2019.
  49. C-H Huang, K-J Weng, J-S Chen, H-W Chu, and M-Y Li, On four discrete-type families of NCP-functions, Journal of Nonlinear and Convex Analysis, vol. 20, no. 2, pp. 283-306, 2019.
  50. C-H Huang, J-S Chen, and C-C Hu, Trace versions of Young inequality and its applications, Journal of Nonlinear and Convex Analysis, vol. 20, no. 2, pp. 215-228, 2019.
  51. X-H Miao, N. Qi, B. Saheya, and J-S Chen, Applying a type of SOC-functions to solve a system of equalities and inequalities under the order induced by second-order cone, Pacific Journal of Optimization, vol. 15, no. 1, pp. 1-22, 2019.
  52. J-H Sun, X-R Wu, B. Saheya, J-S Chen, and C-H Ko, Neural network for solving SOCQP and SOCCVI based on two discrete-type classes of SOC complementarity functions, Mathematical Problems in Engineering, vol. 2019, Article ID 4545064, 18 pages, 2019.
  53. C.T. Nguyen, B. Saheya, Y-L Chang, and J-S Chen, Unified smoothing functions for absolute value equation associated with second-order cone, Applied Numerical Mathematics, vol. 135, January, pp. 206-227, 2019.
  54. M-Y Li, C-Y Yang, X-H Miao, and J-S Chen, Characterizations of solution sets for two nonsymmetric cone programs, Linear and Nonlinear Analysis, vol. 4, no. 3, pp. 325-339, 2018.
  55. P-F Ma, J-S Chen, C-H Huang, and C-H Ko, Discovery of new complementarity functions for NCP and SOCCP, Computational and Applied Mathematics, vol. 37, no. 5, pp. 5727-5749, 2018.
  56. Y-L Chang, C-H Huang, J-S Chen, and C-C Hu, Some inequalities for means defined on the Lorentz cone, Mathematical Inequalities and Applications, vol. 21, no. 4, pp. 1015-1028, 2018.
  57. Y. Lu and J-S Chen, On the self-duality and homogeneity of ellipsoidal cones, Journal of Nonlinear and Convex Analysis, vol. 19, no. 8, pp. 1355-1367, 2018.
  58. X-H Miao, Y. Lu, and J-S Chen, From symmetric cone optimization to nonsymmetric cone optimization: Spectral decomposition, nonsmooth analysis, and projections onto nonsymmetric cones, Pacific Journal of Optimization, vol. 14, no. 3, pp. 399-419, 2018.
  59. W-Z Gu, W-P Chen, C-H Ko, Y-J Lee, and J-S Chen, Two smooth support vector machines for ε-insensitive regression, Computational Optimization and Applications, vol. 70, no.1, pp. 171-199, 2018. [matlab codes]
  60. B. Saheya, C-H Yu, and J-S Chen, Numerical comparisons based on four smoothing functions for absolute value equation, Journal of Applied Mathematics and Computing, vol. 56, no. 1-2, pp. 131-149, 2018.
  61. H-L Huang, C-H Huang, and J-S Chen, Examples of r-convex functions and characterizations of r-convex functions associated with second-order cone, Linear and Nonlinear Analysis, vol. 3, no. 3, pp. 367-384, 2017.
  62. X-H Miao, J-T Yang, B. Saheya, and J-S Chen, A smoothing Newton method for absolute value equation associated with second-order cone, Applied Numerical Mathematics, vol. 120, October, pp. 82-96, 2017.
  63. X-H Miao, N. Qi, and J-S Chen, Projection formula and one type of spectral factorization associated with p-order cone, Journal of Nonlinear and Convex Analysis, vol. 18, no. 9, pp. 1699-1705, 2017.
  64. J-C Zhou and J-S Chen, Monotonicity and circular cone monotonicity associated with circular cones, Set-Valued and Variational Analysis, vol. 25, no. 2, pp. 211-232, 2017.
  65. X-H Miao, Y-C Lin, and J-S Chen, A note on the paper "The algebraic structure of the arbitrary-order cone", Journal of Optimization Theory and Applications, vol. 173, no. 3, pp. 1066-1070, 2017.
  66. X-H Miao, Y-L Chang, and J-S Chen, On merit functions for p-order cone complementarity problem, Computational Optimization and Applications, vol. 67, no. 1, pp. 155-173, 2017. (Addendum)
  67. J-C Zhou, J-Y Tang, and J-S Chen, Parabolic second-order directional differentiability in the Hadamard sense of the vector-valued functions associated with circular cones, Journal of Optimization Theory and Applications, vol. 172, no. 3, pp. 802-823, 2017.
  68. C-H Huang, J-S Chen, and J. E. Martinez-Legaz, Differentiability v.s. convexity for complementarity functions, Optimization Letters, vol. 11, no. 1, pp. 209-216, 2017.
  69. J-C Zhou, J-Y Tang, and J-S Chen, Further relationship between second-order cone and positive semidefinite cone, Optimization, vol. 65, no. 12, pp. 2115-2133, 2016.
  70. X-H Miao, Y-C Lin, and J-S Chen, An alternative approach for a distance inequality associated with the second-order cone and the circular cone, Journal of Inequalities and Applications, vol. 2016, Article ID 291, 10 pages, 2016.
  71. X-H Miao, J-S Chen, and C-H Ko, A neural network based on the generalized FB function for nonlinear convex programs with second-order cone constraints, Neurocomputing, vol. 203, August, pp. 62-72, 2016. (Addendum)
  72. Y-L Chang, J-S Chen, and S-H Pan, Symmetric cone monotone functions and symmetric cone convex functions, Journal of Nonlinear and Convex Analysis, vol. 17, no. 3, pp. 499-512, 2016.
  73. X-H Miao, S-J Guo, N. Qi, and J-S Chen, Constructions of complementarity functions and merit functions for circular cone complementarity problem, Computational Optimization and Applications, vol. 63, no. 2, pp. 495-522, 2016.
  74. P-F Ma, Y-Q Bai, and J-S Chen, A self-concordant interior point algorithm for nonsymmetric circular cone programming, Journal of Nonlinear and Convex Analysis, vol. 17, no. 2, pp. 225-241, 2016.
  75. J-S Chen, C-H Ko, Y-D Liu, and S-P Wang, New smoothing functions for solving a system of equalities and inequalities, Pacific Journal of Optimization, vol. 12, no. 1, pp. 185-206, 2016.
  76. J-S Chen, C-H Ko, and X-R Wu, What is the generalization of natural residual function for NCP, Pacific Journal of Optimization, vol. 12, no. 1, pp. 19-27, 2016.
  77. J-C Zhou, Y-L Chang, and J-S Chen, The H-differentiability and calmness of circular cone functions, Journal of Global Optimization, vol. 63, no. 4, pp. 811-833, 2015.
  78. X-H Miao and J-S Chen, Characterizations of solution sets of cone-constrained convex programming problems, Optimization Letters, vol. 9, no. 7, pp. 1433-1445, 2015. (Addendum)
  79. J-C Zhou and J-S Chen, On the existence of saddle points for nonlinear second-order cone programming problems, Journal of Global Optimization, vol. 62, no. 3, pp. 459-460, 2015.
  80. Y-L Chang, J-S Chen, and C-Y Yang, Symmetrization of generalized natural residual function for NCP, Operations Research Letters, vol. 43, no. 4, pp. 354-358, 2015.
  81. J-S Chen and S-H Pan, Semismooth Newton methods for the cone spectrum of linear transformations relative to Lorentz cones, Linear and Nonlinear Analysis, vol. 1, no. 1, pp. 13-36, 2015. [matlab codes]
  82. J-C Zhou, J-S Chen, and B. S. Mordukhovich, Variational analysis of circular cone programs, Optimization, vol. 64, no. 1, pp. 113-147, 2015.
  83. J-C Zhou and J-S Chen, The vector-valued functions associated with circular cones, Abstract and Applied Analysis, vol. 2014, Article ID 603542, 21 pages, 2014.
  84. H-Y Tsai and J-S Chen, Geometric views of the generalized Fischer-Burmeister function and its induced merit function, Applied Mathematics and Computation, vol. 237, June 15, pp. 31-59, 2014.
  85. X-H Miao, J-S Chen, and C-H Ko, A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints, Information Sciences, vol. 268, June, pp. 255-270, 2014.
  86. S-H Pan, S. Kum, Y. Lim, and J-S Chen, On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem, Mathematics of Computation, vol. 83, no. 287, pp. 1143-1171, 2014.
  87. J-C Zhou, J-S Chen, and H-F Hung, Circular cone convexity and some inequalities associated with circular cones, Journal of Inequalities and Applications, vol. 2013, Article ID 571, 17 pages, 2013.
  88. X-H Miao and J-S Chen, Error bounds for symmetric cone complementarity problems, Numerical Algebra, Control and Optimization, vol. 3, no. 4, pp. 627-641, 2013.
  89. C-H Ko and J-S Chen, Optimal grasping manipulation for multifingered robots using semismooth Newton method, Mathematical Problems in Engineering, vol. 2013, Article ID 681710, 9 pages, 2013.
  90. J-C Zhou and J-S Chen, Properties of circular cone and spectral factorization associated with circular cone, Journal of Nonlinear and Convex Analysis, vol. 14, no. 4, pp. 807-816, 2013.
  91. Y-L Chang, J-S Chen, and W-Z Gu, On the H-differentiability of Löwner function with application in symmetric cone complementarity problem, Journal of Nonlinear and Convex Analysis, vol. 14, no. 2, pp. 231-243, 2013. (Addendum)
  92. Y-L Chang, C-Y Yang, and J-S Chen, Smooth and nonsmooth analyses of vector-valued functions associated with circular cones, Nonlinear Analysis: Theory, Methods and Applications, vol. 85, July, pp. 160-173, 2013.
  93. S-H Pan, S-J Bi, and J-S Chen, Nonsingular conditions for FB system of reformulating nonlinear second-order cone programming, Abstract and Applied Analysis, vol. 2013, Article ID 602735, 21 pages, 2013.
  94. J-C Zhou, J-S Chen, and G-M Lee, On set-valued complementarity problems, Abstract and Applied Analysis, vol. 2013, Article ID 105930, 11 pages, 2013.
  95. Y-L Chang and J-S Chen, Convexity of symmetric cone trace functions in Euclidean Jordan algebras, Journal of Nonlinear and Convex Analysis, vol. 14, no.1, pp. 53-61, 2013.
  96. Y-L Chang, J-S Chen, and J. Wu, Proximal point algorithm for nonlinear complementarity problem based on the generalized Fischer-Burmeister merit function, Journal of Industrial and Management Optimization, vol. 9, no. 1, pp. 153-169, 2013.
  97. J-C Zhou, N-H Xiu, and J-S Chen, Solution properties and error bounds for semi-infinite complementarity problems, Journal of Industrial and Management Optimization, vol. 9, no. 1, pp. 99-115, 2013.
  98. J-S Chen, J-F Li, and J. Wu, A continuation approach for solving binary quadratic program based on a class of NCP-functions, Applied Mathematics and Computation, vol. 219, no. 8, pp. 3975-3992, 2012. [matlab codes]
  99. Y-L Chang, J-S Chen, and S-H Pan, Strong semismoothness of Fischer-Burmeister complementarity function associated with symmetric cones, Journal of Nonlinear and Convex Analysis, vol. 13, no. 4, pp. 799-806, 2012.
  100. X-H Miao and J-S Chen, Lipschitz continuity of solution mapping of symmetric cone complementarity problems, Abstract and Applied Analysis, vol. 2012, Article ID 130682, 14 pages, 2012.
  101. S-H Pan, Y. Chiang, and J-S Chen, SOC-monotone and SOC-convex functions v.s. matrix-monotone and matrix-convex functions, Linear Algebra and its Applications, vol. 437, no. 5, pp. 1264-1284, 2012.
  102. J-S Chen, T-K Liao, and S-H Pan, Using Schur Complement Theorem to prove convexity of some SOC-functions, Journal of Nonlinear and Convex Analysis, vol. 13, no. 3, pp. 421-431, 2012. (Addendum: An Extension)
  103. J. Wu and J-S Chen, A proximal point algorithm for the monotone second-order cone complementarity problem, Computational Optimization and Applications, vol. 51, no. 3, pp. 1037-1063, 2012. [matlab codes]
  104. J-H Sun, J-S Chen, and C-H Ko, Neural networks for solving second-order cone constrained variational inequality problem, Computational Optimization and Applications, vol. 51, no. 2, pp. 623-648, 2012.
  105. Y-L Chang and J-S Chen, The Hölder continuity of vector-valued functions associated with second-order cone, Pacific Journal of Optimization, vol. 8, no.1, pp. 135-141, 2012.
  106. J-S Chen and S-H Pan, A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs, Pacific Journal of Optimization, vol. 8, no. 1, pp. 33-74, 2012. [matlab codes]
  107. S-J Bi, S-H Pan and J-S Chen, The same growth of FB and NR symmetric cone complementarity functions, Optimization Letters, vol. 6, no.1, pp. 153-162, 2012.
  108. S-J Bi, S-H Pan, and J-S Chen, Nonsingular conditions for the Fischer-Burmeister system of nonlinear SDPs, SIAM Journal on Optimization, vol. 21, no. 4, pp. 1392-1417, 2011.
  109. C-H Ko, J-S Chen, and C-Y Yang, Recurrent neural networks for solving second-order cone programs, Neurocomputing, vol. 74, no. 17, pp. 3646-3653, 2011.
  110. J-S Chen, Z-H Huang, and C-Y She, A new class of penalized NCP-functions and its properties, Computational Optimization and Applications, vol. 50, no. 1, pp. 49-73, 2011.
  111. J-S Chen, S-H Pan, and C-H Ko, A continuation approach for the capacitated multi-facility weber problem based on nonlinear SOCP reformulation, Journal of Global Optimization, vol. 50, no. 4, pp. 713-728, 2011.
  112. C-Y Yang, Y-L Chang, and J-S Chen, Analysis of nonsmooth vector-valued functions associated with infinite-dimensional second-order cones, Nonlinear Analysis: Theory, Methods and Applications, vol. 74, no. 16, pp. 5766-5783, 2011.
  113. Y. Chiang, S-H Pan, and J-S Chen, A merit function method for infinite-dimensional SOCCPs, Journal of Mathematical Analysis and Applications, vol. 383, no. 1, pp. 159-178, 2011.
  114. S-H Pan and J-S Chen, An R-linearly convergent nonmonotone derivative-free method for symmetric cone complementarity problems, Advanced Modeling and Optimization, vol. 13, no. 2, pp. 185-211, 2011.
  115. S-H Pan, J-S Chen, S. Kum, and Y. Lim, The penalized Fischer-Burmeister SOC complementarity function, Computational Optimization and Applications, vol. 49, no. 3, pp. 457-491, 2011.
  116. X-H Miao and J-S Chen, On the Lorentz cone complementarity problems in infinite-dimensional real Hilbert space, Numerical Functional Analysis and Optimization, vol. 32, no. 5, pp. 507-523, 2011.
  117. S-H Pan and J-S Chen, A least-square semismooth Newton method for the second-order cone complementarity problem, Optimization Methods and Software, vol. 26, no. 1, pp. 1-22, 2011.
  118. J-S Chen and S-H Pan, An entropy-like proximal algorithm and the exponential multiplier method for symmetric cone programming, Computational Optimization and Applications, vol. 47, no. 3, pp. 477-499, 2010.
  119. S-H Pan and J-S Chen, A linearly convergent derivative-free descent method for the second-order cone complementarity problem, Optimization, vol. 59, no. 8, pp. 1173-1197, 2010. [matlab codes]
  120. S-H Pan, Y-L Chang, and J-S Chen, Stationary point conditions for the FB merit function associated with symmetric cones, Operations Research Letters, vol. 38, no. 5, pp. 372-377, 2010.
  121. S-H Pan and J-S Chen, Interior proximal methods and central paths for convex second-order cone programming, Nonlinear Analysis: Theory, Methods and Applications, vol. 73, no. 9, pp. 3083-3100, 2010.
  122. J-S Chen and S-H Pan, Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions, Optimization, vol. 59, no. 5-6, pp. 661-676, 2010.
  123. J-H Sun and J-S Chen, Two classes of merit functions for infinite-dimensional SOCCPs, Numerical Functional Analysis and Optimization, vol. 31, no. 4-6, pp. 387-413, 2010.
  124. J-S Chen, S-H Pan, and C-Y Yang, Numerical comparison of two effective methods for mixed complementarity problems, Journal of Computational and Applied Mathematics, vol. 234, no. 3, pp. 667-683, 2010.
  125. J-S Chen and S-H Pan, A one-parametric class of merit functions for the second-order cone complementarity problem, Computational Optimization and Applications, vol. 45, no. 3, pp. 581-606, 2010.
  126. J-S Chen, S-H Pan, and T-C Lin, A smoothing Newton method based on the generalized Fischer-Burmeister function for MCPs, Nonlinear Analysis: Theory, Methods and Applications, vol. 72, no. 9-10, pp. 3739-3758, 2010. [matlab codes]
  127. S-H Pan and J-S Chen, A proximal gradient descent method for the extended second-order cone linear complementarity problem, Journal of Mathematical Analysis and Applications, vol. 366, no. 1, pp. 164-180, 2010.
  128. S-H Pan and J-S Chen, A semismooth Newton method for SOCCPs based on a one-parametric class of complementarity functions, Computational Optimization and Applications, vol. 45, no. 1, pp. 59-88, 2010. [matlab codes]
  129. J-S Chen, C-H Ko, and S-H Pan, A neural network based on generalized Fischer-Burmeister function for nonlinear complementarity problems, Information Sciences, vol. 180, no. 5, pp. 697-711, 2010. [matlab codes]
  130. J-S Chen and C-H Huang, A note on convexity of two signomial functions, Journal of Nonlinear and Convex Analysis, vol. 10, no. 3, pp. 429-435, 2009.
  131. J-S Chen, X. Chen, S-H Pan, and J. Zhang, Some characterizations for SOC-monotone and SOC-convex functions, Journal of Global Optimization, vol. 45, no. 2, pp. 259-279, 2009.
  132. J-S Chen, H-T Gao, and S-H Pan, An R-linearly convergent derivative-free algorithm for the NCPs based on the generalized Fischer-Burmeister merit function, Journal of Computational and Applied Mathematics, vol. 232, no. 2, pp. 455-471, 2009. [matlab codes]
  133. S-L Hu, Z-H Huang, and J-S Chen, Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems, Journal of Computational and Applied Mathematics, vol. 230, no. 1, pp. 69-82, 2009.
  134. S-H Pan and J-S Chen, A damped Gauss-Newton method for the second-order cone complementarity problem, Applied Mathematics and Optimization, vol. 59, no. 3, pp. 293-318, 2009.
  135. S-H Pan and J-S Chen, Growth behavior of two classes of merit functions for the symmetric cone complementarity problems, Journal of Optimization Theory and Applications, vol. 141, no. 1, pp. 167-191, 2009.
  136. S-H Pan and J-S Chen, A one-parametric class of merit functions for the symmetric cone complementarity problem, Journal of Mathematical Analysis and Applications, vol. 355, no. 1, pp. 195-215, 2009.
  137. S-H Pan and J-S Chen, A regularization method for the second-order cone complementarity problems with the Cartesian P0-property, Nonlinear Analysis: Theory, Methods and Applications, vol. 70, no. 4, pp. 1475-1491, 2009.
  138. S-H Pan and J-S Chen, A class of interior proximal-like algorithms for convex second-order cone programming, SIAM Journal on Optimization, vol. 19, no. 2, pp. 883-910, 2008.
  139. J-S Chen and S-H Pan, A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for P0-NCPs, Journal of Computational and Applied Mathematics, vol. 220, no. 1-2, pp. 464-479, 2008.
  140. J-S Chen and S-H Pan, A family of NCP-functions and a descent method for the nonlinear complementarity problem, Computational Optimization and Applications, vol. 40, no. 3, pp. 389-404, 2008. [matlab codes]
  141. S-H Pan and J-S Chen, Proximal-like algorithm using the quasi D-function for convex second-order cone programming, Journal of Optimization Theory and Applications, vol. 138, no. 1, pp. 95-113, 2008.
  142. J-S Chen and S-H Pan, A proximal-like algorithm for a class of nonconvex programming, Pacific Journal of Optimization, vol. 4, no. 2, pp. 319-333, 2008.
  143. J-S Chen, D-F Sun, and J. Sun, The SC¹ property of the squared norm of the SOC Fischer-Burmeister function, Operations Research Letters, vol. 36, no. 3, pp. 385-392, 2008.
  144. J-S Chen and S-H Pan, A descent method for solving reformulation of the second-order cone complementarity problem, Journal of Computational and Applied Mathematics, vol. 213, no. 2, pp. 547-558, 2008. [matlab codes]
  145. J-S Chen, Conditions for error bounds and bounded level sets of some merit functions for SOCCP, Journal of Optimization Theory and Applications, vol. 135, no. 3, pp. 459-473, 2007.
  146. S-H Pan and J-S Chen, Entropy-like proximal algorithms based on second order homogeneous distance for quasi-convex programming, Journal of Global Optimization, vol. 39, no. 4, pp. 555-575, 2007. [matlab codes]
  147. S-H Pan and J-S Chen, Two unconstrained optimization approaches for the Euclidean k-centrum location problem, Applied Mathematics and Computation, vol. 189, no. 2, pp. 1368-1383, 2007.
  148. J-S Chen, On some NCP-functions based on the generalized Fischer-Burmeister function, Asia-Pacific Journal of Operational Research, vol. 24, no. 3, pp. 401-420, 2007. (Addendum)
  149. J-S Chen, Two classes of merit functions for the second-order cone complementarity problem, Mathematical Methods of Operations Research, vol. 64, no. 3, pp. 495-519, 2006.
  150. J-S Chen, The semismooth-related properties of a merit function and a descent method for the nonlinear complementarity problem, Journal of Global Optimization, vol. 36, no. 4, pp. 565-580, 2006.
  151. J-S Chen, The convex and monotone functions associated with second-order cone, Optimization, vol. 55, no. 4, pp. 363-385, 2006.
  152. J-S Chen, A new merit function and its related properties for the second-order cone complementarity problem, Pacific Journal of Optimization, vol. 2, no. 1, pp. 167-179, 2006.
  153. J-S Chen and P. Tseng, An unconstrained smooth minimization reformulation of second-order cone complementarity problem, Mathematical Programming, vol. 104, no. 2-3, pp. 293-327, 2005.
  154. J-S Chen, Alternative proofs for some results of vector-valued functions associated with second-order cone, Journal of Nonlinear and Convex Analysis, vol. 6, no. 2, pp. 297-325, 2005.
  155. J-S Chen, X. Chen, and P. Tseng, Analysis of nonsmooth vector-valued functions associated with second-order cone, Mathematical Programming, vol. 101, no. 1, pp. 95-117, 2004.
  156. Y-H Chang and J-S Chen, The almost periodic solutions of nonautonomous abstract differential equations, Chinese Journal of Mathematics, vol. 23, no. 3, pp. 257-274, 1995.

Working papers/Proceedings papers

  1. V.M. Tam and J-S Chen, Estimating error bounds for differential systems involving coupled variational-hemivariational inequalities with applications, preprint, 2024.
  2. C-Y Yang, Y-L Chang, C-C Hu, and J-S Chen, Novel constructions for closed convex cones through inequalities and support functions, submitted, 2024.
  3. Y-L Chang, W-C Hu, C-Y Yang, and J-S Chen, Mean inequalities associated with circular cones, submitted, 2024.
  4. B. Saheya, J. Hu, T. Zhanlav, and J-S Chen, A third-order-convergence improved Newton method and its numerical performance, submitted, 2024.
  5. X. Chi, Y. Yang, and J-S Chen, A novel corrector-predictor interior-point algorithm for sufficient weighted linear complementarity problems based on an AET function, submitted, 2024.
  6. V.M. Tam, J-S Chen, J-L Chern, and A Takeda, A fractional-order dynamical approach to vector equilibrium problems with partial order induced by a polyhedral cone, submitted, 2024.
  7. X. Chi, L. Gan, Z. Gao, and J-S Chen, A feasible interior-point method with full-Newton step for P*(k)-weighted linear complementarity problem via the algebraically equivalent transformation, submitted, 2024.
  8. X. Chi and J-S Chen, Sufficient weighted second-order cone complementarity problems, submitted, 2024.
  9. Y-L Chang, C-C Hu, C-Y Yang, and J-S Chen, On a new equation: greatest integer value equation, submitted, 2024.
  10. C. Wu, C-Y, Yang, and J-S Chen, An improvement on the q-FR conjugate gradient method, submitted, 2022.
  11. J-S Chen, Neural networks for solving second-order cone programs based on complementarity functions, Proceedings of NAO-Asia2016 (held in Niigata, August 1-6, 2016), May, 2018. (the proceeding is published by JNCA, so it also appears in Journal of Nonlinear and Convex Analysis, vol. 19, no. 10, pp. 1621-1641, 2018)
  12. J-S Chen, The developments of discrete-types of NCP-functions, Proceedings of the RIMS Workshop on Nonlinear Analysis and Convex Analysis (2015), RIMS Kokyuroku Series 2011, Research Institute for Mathematical Sciences, Kyoto University, pp. 83-99, December, 2016.
  13. X-H Miao and J-S Chen, From symmetric cone optimization to nonsymmetric cone optimization: Projections onto nonsymmetric cones, Proceedings of the Twenty-Eighth RAMP Symposium, Niigata University, pp. 25-34, October, 2016.
  14. J-S Chen, On merit functions for the second-order cone complementarity problem, Proceedings of the RIMS Workshop on Nonlinear Analysis and Convex Analysis (2006), RIMS Kokyuroku Series 1544, Research Institute for Mathematical Sciences, Kyoto University, pp. 153-162, April, 2007.