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, 2023.

Journal papers

  1. J.H. Alcantara, J-S Chen, and M. Tam, Method of alternating projections for the general absolute value equation, to appear in Journal of Fixed Point Theory and Applications, 2023.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. 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)
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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.
  42. 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.
  43. 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]
  44. 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.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. 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.
  50. 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)
  51. 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.
  52. 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.
  53. 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.
  54. 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.
  55. 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)
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. 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.
  61. 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.
  62. 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)
  63. 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.
  64. 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.
  65. 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]
  66. 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.
  67. 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.
  68. 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.
  69. 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.
  70. 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.
  71. 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.
  72. 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.
  73. 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.
  74. 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.
  75. 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)
  76. 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.
  77. 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.
  78. 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.
  79. 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.
  80. 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.
  81. 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.
  82. 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]
  83. 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.
  84. 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.
  85. 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.
  86. 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)
  87. 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]
  88. 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.
  89. 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.
  90. 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]
  91. 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.
  92. 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.
  93. 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.
  94. 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.
  95. 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.
  96. 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.
  97. 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.
  98. 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.
  99. 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.
  100. 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.
  101. 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.
  102. 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.
  103. 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]
  104. 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.
  105. 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.
  106. 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.
  107. 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.
  108. 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.
  109. 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.
  110. 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]
  111. 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.
  112. 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]
  113. 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]
  114. 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.
  115. 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.
  116. 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]
  117. 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.
  118. 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.
  119. 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.
  120. 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.
  121. 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.
  122. 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.
  123. 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.
  124. 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]
  125. 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.
  126. 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.
  127. 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.
  128. 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]
  129. 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.
  130. 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]
  131. 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.
  132. 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)
  133. 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.
  134. 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.
  135. J-S Chen, The convex and monotone functions associated with second-order cone, Optimization, vol. 55, no. 4, pp. 363-385, 2006.
  136. 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.
  137. 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.
  138. 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.
  139. 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.
  140. 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. C.T. Nguyen, Z. Hao, and J-S Chen, A p-power penalty approach for solving second-order cone complementarity problems, preprint, 2022.
  2. X-H Miao, J.H. Alcantara, and J-S Chen, Two kinds of methods for solving ℓp-type optimization problems with p in (0, 1], preprint, 2022.
  3. J.H. Alcantara and J-S Chen, An efficient and accurate solver for large-scale sparse recovery problems using a conjugate gradient algorithm for a class of smooth nonconvex regularizers, preprint, 2022.
  4. V.M. Tam and J-S Chen, Upper bounds for vector equilibrium problems associated with a p-order cone on Hadamard manifolds, submitted, 2022.
  5. J-Y Tang, J-C Zhou, J.H. Alcantara, and J-S Chen, A family of smooth NCP functions and an inexact1 Levenberg-Marquardt method for nonlinear complementarity problems, submitted, 2022.
  6. V.M. Tam and J-S Chen, Holder continuity and upper bound results for generalized parametric elliptical variational-hemivariational inequalities, submitted, 2022.
  7. L.T. Nguyen, Y-L Chang, C-C Hu, and J-S Chen, Interval optimization problems on Hadamard manifolds, submitted, 2022.
  8. Y. Lu, H-M Ma, D-Y Xue, and J-S Chen, On the local convergence of augmented Lagrangian method for nonlinear circular conic programs, submitted, 2022.
  9. C. Wu, C-Y, Yang, and J-S Chen, An improvement on the q-FR conjugate gradient method, submitted, 2022.
  10. C.T. Nguyen, J.H. Alcantara, T. Okuno, A. Takeda, and J-S Chen, Unified smoothing approach for best hyperparameter selection problem using a bilevel optimization strategy, submitted, 2021.
  11. C.T. Nguyen, J.H. Alcantara, Y. Lu, and J-S Chen, Penalty and barrier methods for convex and nonconvex second-order cone programming, in revision, 2021.
  12. Y-L Chang, C-Y Yang, C.T. Nguyen, and J-S Chen, Novel constructions of complementarity functions associated with symmetric cones, submitted, 2022.
  13. 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)
  14. 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.
  15. 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.
  16. 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.