- J-S Chen,
*SOC Functions and Their Applications*, Springer Optimization and Its Applications 143, Springer Nature, Singapore, 2019. - J-S Chen,
*Complementarity Functions in Optimization*, in preparation, 2023.

- 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - C-H Huang, J-S Chen, and C-C Hu,
The Schatten p-norm on R
^{n},*Journal of Nonlinear and Convex Analysis*, vol. 21, no. 1, pp. 21-29, 2020. - 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. - 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. - C. Wu, J. Zhan, Y. Lu, and J-S Chen,
Signal reconstruction by conjugate gradient algorithm based on smoothing ℓ
_{1}-norm,*Calcolo*, vol. 56, no. 4, Article 42, 26 pages, December, 2019. - 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. - 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. - 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)** - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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]** - 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. - 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. - 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. - 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. - 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. - 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. - 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)** - 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. - 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. - 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. - 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. - 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)** - 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. - 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. - 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. - 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. - 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. - 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. - 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)** - 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. - 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. - 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]** - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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)** - 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. - 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. - 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. - 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. - 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. - 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. - 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]** - 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. - 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. - 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. - 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)** - 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]** - 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. - 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. - 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]** - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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]** - 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. - 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. - 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. - 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. - 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. - 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. - 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]** - 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. - 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]** - 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]** - 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. - 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. - 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]** - 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. - 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. - 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. - 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. - S-H Pan and J-S Chen,
A regularization method for the second-order cone complementarity problems with
the Cartesian P
_{0}-property,*Nonlinear Analysis: Theory, Methods and Applications*, vol. 70, no. 4, pp. 1475-1491, 2009. - 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. - J-S Chen and S-H Pan,
A regularization semismooth Newton method based on the generalized
Fischer-Burmeister function for P
_{0}-NCPs,*Journal of Computational and Applied Mathematics*, vol. 220, no. 1-2, pp. 464-479, 2008. - 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]** - 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. - 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. - 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. - 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]** - 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. - 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]** - 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. - 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)** - 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. - 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. - J-S Chen,
The convex and monotone functions associated with second-order cone,
*Optimization*, vol. 55, no. 4, pp. 363-385, 2006. - 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. - 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. - 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. - 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. - 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.

- C.T. Nguyen, Z. Hao, and J-S Chen, A p-power penalty approach for solving second-order cone complementarity problems, preprint, 2022.
- X-H Miao, J.H. Alcantara, and J-S Chen,
Two kinds of methods for solving ℓ
_{p}-type optimization problems with p in (0, 1], preprint, 2022. - 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.
- V.M. Tam and J-S Chen, Upper bounds for vector equilibrium problems associated with a p-order cone on Hadamard manifolds, submitted, 2022.
- 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.
- V.M. Tam and J-S Chen, Holder continuity and upper bound results for generalized parametric elliptical variational-hemivariational inequalities, submitted, 2022.
- L.T. Nguyen, Y-L Chang, C-C Hu, and J-S Chen, Interval optimization problems on Hadamard manifolds, submitted, 2022.
- 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.
- C. Wu, C-Y, Yang, and J-S Chen, An improvement on the q-FR conjugate gradient method, submitted, 2022.
- 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.
- 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.
- Y-L Chang, C-Y Yang, C.T. Nguyen, and J-S Chen, Novel constructions of complementarity functions associated with symmetric cones, submitted, 2022.
- 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) - 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. - 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. - 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.