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• Article

  A continuation approach for solving binary quadratic program based on a class of NCP-functions

  Chen, J-S., Li, J. F. & Wu, J., 2012 Dec 15, In: Applied Mathematics and Computation. 219, 8, p. 3975-3992 18 p.

  Research output: Contribution to journal › Article › peer-review

  • NCP Function
  • Quadratic Program
  • Continuation
  • Binary
  • Global Minimizer
  2 Citations (Scopus)

• An alternative approach for a distance inequality associated with the second-order cone and the circular cone

  Miao, X. H., Lin, Y. R. & Chen, J. S., 2016 Dec 1, In: Journal of Inequalities and Applications. 2016, 1, 291.

  Research output: Contribution to journal › Article › peer-review

  • Circular cone
  • Second-order Cone
  • Cones
  • Alternatives
  • Second-order Cone Programming

• A neural network based on the generalized FB function for nonlinear convex programs with second-order cone constraints

  Miao, X., Chen, J-S. & Ko, C. H., 2016 Aug 26, In: Neurocomputing. 203, p. 62-72 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Neural Networks (Computer)
  • Cones
  • Neural networks
  • Asymptotic stability
  • Demonstrations
  5 Citations (Scopus)

• A Note on the Paper “The Algebraic Structure of the Arbitrary-Order Cone”

  Miao, X. H., Lin, Y. C. R. & Chen, J. S., 2017 Jun 1, In: Journal of Optimization Theory and Applications. 173, 3, p. 1066-1070 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Algebraic Structure
  • Scalar, inner or dot product
  • Cones
  • Cone
  • Arbitrary
  3 Citations (Scopus)

• A novel generalization of the natural residual function and a neural network approach for the NCP

  Alcantara, J. H. & Chen, J. S., 2020 Nov 6, In: Neurocomputing. 413, p. 368-382 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Neural networks
  • Computer simulation
  • Experiments

• A proximal point algorithm for the monotone second-order cone complementarity problem

  Wu, J. & Chen, J. S., 2012 Apr, In: Computational Optimization and Applications. 51, 3, p. 1037-1063 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Proximal Point Algorithm
  • Complementarity Problem
  • Cones
  • Monotone
  3 Citations (Scopus)

• A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints

  Miao, X., Chen, J-S. & Ko, C. H., 2014 Jun 1, In: Information Sciences. 268, p. 255-270 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Cone Constraints
  • Second-order Cone
  • Convex Program
  • Neural Networks
  • Cones
  12 Citations (Scopus)

• A smoothing Newton method for absolute value equation associated with second-order cone

  Miao, X. H., Yang, J. T., Saheya, B. & Chen, J. S., 2017 Oct, In: Applied Numerical Mathematics. 120, p. 82-96 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Smoothing Newton Method
  • Second-order Cone
  • Newton-Raphson method
  • Absolute value
  • Cones
  5 Citations (Scopus)

• A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs

  Chen, J. S. & Pan, S., 2012 Jan 1, In: Pacific Journal of Optimization. 8, 1, p. 33-74 42 p.

  Research output: Contribution to journal › Article › peer-review

  • Complementarity
  • Merit Function
  • Smoothing Newton Method
  • Second-order Cone Programming
  • Semismooth Newton Method
  37 Citations (Scopus)

• Characterizations of solution sets of cone-constrained convex programming problems

  Miao, X. H. & Chen, J. S., 2015 Oct 22, In: Optimization Letters. 9, 7, p. 1433-1445 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Convex Programming
  • Solution Set
  • Cone
  • Characterization
  • Convex Program
  3 Citations (Scopus)

• Circular cone convexity and some inequalities associated with circular cones

  Zhou, J., Chen, J. S. & Hung, H. F., 2013 Dec, In: Journal of Inequalities and Applications. 2013, 571.

  Research output: Contribution to journal › Article › peer-review

  • Circular cone
  • Cones
  • Convexity
  • Differentiability
  • Determinant
  18 Citations (Scopus)

• Constructions of complementarity functions and merit functions for circular cone complementarity problem

  Miao, X. H., Guo, S., Qi, N. & Chen, J. S., 2016 Mar 1, In: Computational Optimization and Applications. 63, 2, p. 495-522 28 p.

  Research output: Contribution to journal › Article › peer-review

  • Circular cone
  • Merit Function
  • Complementarity
  • Complementarity Problem
  • Cones
  10 Citations (Scopus)

• Convexity of symmetric cone trace functions in euclidean Jordan algebras

  Chang, Y. L. & Chen, J. S., 2013 Jan, In: Journal of Nonlinear and Convex Analysis. 14, 1, p. 53-61 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Euclidean Jordan Algebra
  • Trace Function
  • Symmetric Cone
  • Algebra
  • Cones
  7 Citations (Scopus)

• Differentiability v.s. convexity for complementarity functions

  Huang, C. H., Chen, J. S. & Martinez-Legaz, J. E., 2017 Jan 1, In: Optimization Letters. 11, 1, p. 209-216 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Complementarity
  • Complementarity Problem
  • Nonlinear Complementarity Problem
  • Differentiability
  • Convexity
  2 Citations (Scopus)

• Discovery of new complementarity functions for NCP and SOCCP

  Ma, P. F., Chen, J. S., Huang, C. H. & Ko, C. H., 2018 Nov 1, In: Computational and Applied Mathematics. 37, 5, p. 5727-5749 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Complementarity
  • Complementarity Problem
  • Second-order Cone
  • Nonlinear Complementarity Problem
  • Cones
  4 Citations (Scopus)

• Error bounds for symmetric cone complementarity problems

  Miao, X. H. & Chen, J. S., 2013 Oct, In: Numerical Algebra, Control and Optimization. 3, 4, p. 627-641 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Symmetric Cone
  • Complementarity Problem
  • Merit Function
  • Cones
  • Error Bounds
  2 Citations (Scopus)

• Exact formula for the second-order tangent set of the second-order cone complementarity sET^∗

  Chen, J. S., Ye, J. J., Zhang, J. & Zhou, J., 2019, In: SIAM Journal on Optimization. 29, 4, p. 2986-3011 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Complementarity
  • Tangent line
  • Cones
  • Set theory
  2 Citations (Scopus)

• Further relationship between second-order cone and positive semidefinite matrix cone

  Zhou, J., Tang, J. & Chen, J. S., 2016 Dec 1, In: Optimization. 65, 12, p. 2115-2133 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Positive Semidefinite Matrix
  • Cones
  • Matrix
  • Cone
  1 Citation (Scopus)

• Geometric views of the generalized Fischer-Burmeister function and its induced merit function

  Tsai, H. Y. & Chen, J. S., 2014 Jun 15, In: Applied Mathematics and Computation. 237, p. 31-59 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Merit Function
  • Visualization
  • Descent
  • Intuitive
  4 Citations (Scopus)

• Lipschitz continuity of the solution mapping of symmetric cone complementarity problems

  Miao, X. H. & Chen, J. S., 2012, In: Abstract and Applied Analysis. 2012, 130682.

  Research output: Contribution to journal › Article › peer-review

  • Symmetric Cone
  • Complementarity Problem
  • Lipschitz Continuity
  • Cones
  • Algebra

• Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

  Zhou, J. & Chen, J. S., 2017 Jun 1, In: Set-Valued and Variational Analysis. 25, 2, p. 211-232 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Circular cone
  • Cones
  • Monotonicity
  • Second-order Cone
  • Scalar, inner or dot product
  2 Citations (Scopus)

• Neural network based on systematically generated smoothing functions for absolute value equation

  Saheya, B., Nguyen, C. T. & Chen, J. S., 2019 Oct 1, In: Journal of Applied Mathematics and Computing. 61, 1-2, p. 533-558 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Smoothing Function
  • Absolute value
  • Neural Networks
  • Neural networks
  • Neural Network Model

• Neural Network for Solving SOCQP and SOCCVI Based on Two Discrete-Type Classes of SOC Complementarity Functions

  Sun, J., Wu, X. R., Saheya, B., Chen, J. S. & Ko, C. H., 2019 Jan 1, In: Mathematical Problems in Engineering. 2019, 4545064.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Second-order Cone
  • Complementarity
  • Cones
  • Neural Networks
  • Variational Inequalities
  1 Citation (Scopus)

• Neural networks based on three classes of NCP-functions for solving nonlinear complementarity problems

  Alcantara, J. H. & Chen, J. S., 2019 Sep 24, In: Neurocomputing. 359, p. 102-113 12 p.

  Research output: Contribution to journal › Article › peer-review

  • Neural Networks (Computer)
  • Efficiency
  • Neural networks
  • Growth
  • Set theory
  6 Citations (Scopus)

• Neural networks for solving second-order cone constrained variational inequality problem

  Sun, J., Chen, J. S. & Ko, C. H., 2012 Mar, In: Computational Optimization and Applications. 51, 2, p. 623-648 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Variational Inequality Problem
  • Cones
  • Neural Networks
  • Neural networks
  36 Citations (Scopus)

• Neural networks for solving second-order cone programs based on complementarity functions

  Chen, J. S., 2018 Jan 1, In: Journal of Nonlinear and Convex Analysis. 19, 10, p. 1621-1641 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Complementarity
  • Cones
  • Neural Networks
  • Cone Constraints

• No Gap Second-Order Optimality Conditions for Circular Conic Programs

  Lu, Y., Chen, J. S. & Zhang, N., 2019 Jul 27, In: Numerical Functional Analysis and Optimization. 40, 10, p. 1113-1135 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Optimality Conditions
  • Cones
  • Conic Optimization
  • Circular cone
  • Optimization Problem

• Nonsingularity conditions for FB system of reformulating nonlinear second-order cone programming

  Pan, S., Bi, S. & Chen, J. S., 2013, In: Abstract and Applied Analysis. 2013, 602735.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone Programming
  • Strong Regularity
  • Karush-Kuhn-Tucker Conditions
  • Second-order Sufficient Conditions
  • Nonsingularity
  4 Citations (Scopus)

• Numerical comparisons based on four smoothing functions for absolute value equation

  Saheya, B., Yu, C. H. & Chen, J. S., 2018 Feb 1, In: Journal of Applied Mathematics and Computing. 56, 1-2, p. 131-149 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Smoothing Function
  • Numerical Comparisons
  • Absolute value
  • Nonsmooth Equations
  • Smoothing
  10 Citations (Scopus)

• On construction of new NCP functions

  Alcantara, J. H., Lee, C. H., Nguyen, C. T., Chang, Y. L. & Chen, J. S., 2020 Mar, In: Operations Research Letters. 48, 2, p. 115-121 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonlinear Complementarity Problem
  • Semismoothness
  • Convexity
  • Complementarity
  • Research Directions

• On four discrete-type families of NCP-functions

  Huang, C. H., Weng, K. J., Chen, J. S., Chu, H. W. & Li, M. Y., 2019, In: Journal of Nonlinear and Convex Analysis. 20, 2, p. 283-236 48 p.

  Research output: Contribution to journal › Article › peer-review

  • NCP Function
  • Family
  • Brick
  • Background
  2 Citations (Scopus)

• On matrix characterizations for P-property of the linear transformation in second-order cone linear complementarity problems

  Miao, X. H. & Chen, J. S., 2020, (Accepted/In press) In: Linear Algebra and Its Applications. 613, p. 271-294 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Linear transformations
  • Linear Complementarity Problem
  • Linear transformation
  • Cones

• On merit functions for p-order cone complementarity problem

  Miao, X. H., Chang, Y. L. & Chen, J. S., 2017 May 1, In: Computational Optimization and Applications. 67, 1, p. 155-173 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Merit Function
  • Complementarity Problem
  • Cones
  • Cone
  • Unconstrained Minimization
  1 Citation (Scopus)

• On set-valued complementarity problems

  Zhou, J., Chen, J. S. & Lee, G. M., 2013, In: Abstract and Applied Analysis. 2013, 105930.

  Research output: Contribution to journal › Article › peer-review

  • Complementarity Problem
  • Set theory
  • Merit Function
  • Solution Set
  • Dependent
  2 Citations (Scopus)

• On the existence of saddle points for nonlinear second-order cone programming problems

  Zhou, J. & Chen, J. S., 2015 Nov 6, In: Journal of Global Optimization. 62, 3, p. 459-480 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone Programming
  • Saddlepoint
  • Nonlinear Programming
  • Programming
  • Cones
  4 Citations (Scopus)

• On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem

  Pan, S., Kum, S., Lim, Y. & Chen, J. S., 2014 May 1, In: Mathematics of Computation. 83, 287, p. 1143-1171 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Second-order Cone
  • Merit Function
  • Complementarity Problem
  • Cones
  • Coerciveness
  10 Citations (Scopus)

• On the H-differentiability of löwner function with application in symmetric cone complementarity problem

  Chang, Y. L., Chen, J. S. & Gu, W., 2013 Apr, In: Journal of Nonlinear and Convex Analysis. 14, 2, p. 231-243 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Symmetric Cone
  • Complementarity Problem
  • Differentiability
  • Cones
  • Merit Function
  1 Citation (Scopus)

• On the self-duality and homogeneity of ellipsoidal cones

  Lu, Y. & Chen, J. S., 2018 Jan 1, In: Journal of Nonlinear and Convex Analysis. 19, 8, p. 1355-1367 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Self-duality
  • Homogeneity
  • Cones
  • Cone
  • Circular cone
  3 Citations (Scopus)

• On unitary elements defined on Lorentz cone and their applications

  Huang, C. H. & Chen, J. S., 2019 Mar 15, In: Linear Algebra and Its Applications. 565, p. 1-24 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Cones
  • Unitary transformation
  • Cone
  • Triangle inequality
  • Majorization
  1 Citation (Scopus)

• Optimal grasping manipulation for multifingered robots using semismooth newton method

  Ko, C. H. & Chen, J. S., 2013, In: Mathematical Problems in Engineering. 2013, 681710.

  Research output: Contribution to journal › Article › peer-review

  • Grasping
  • Semismooth Newton Method
  • Robot
  • Newton-Raphson method
  • Manipulation
  15 Citations (Scopus)

• Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones

  Zhou, J., Tang, J. & Chen, J. S., 2017 Mar 1, In: Journal of Optimization Theory and Applications. 172, 3, p. 802-823 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Directional Differentiability
  • Circular cone
  • Differentiability
  • Vector-valued Functions
  • Cones
  4 Citations (Scopus)

• Projection formula and one type of spectral factorization associated with p-order cone

  Miao, X., Qi, N. & Cheny, J. S., 2017 Jan 1, In: Journal of Nonlinear and Convex Analysis. 18, 9, p. 1699-1705 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Spectral Factorization
  • Factorization
  • Cones
  • Cone
  • Projection
  3 Citations (Scopus)

• Properties of circular cone and spectral factorization associated with circular cone

  Zhou, J. & Chen, J. S., 2013 Oct, In: Journal of Nonlinear and Convex Analysis. 14, 4, p. 807-816 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Circular cone
  • Spectral Factorization
  • Factorization
  • Cones
  • Second-order Cone
  35 Citations (Scopus)

• Proximal point algorithm for nonlinear complementarity problem based on the generalized fischer-burmeister merit function

  Chang, Y. L., Chen, J. S. & Wu, J., 2013, In: Journal of Industrial and Management Optimization. 9, 1, p. 153-169 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonlinear Complementarity Problem
  • Merit Function
  • Proximal Point Algorithm
  • Approximate Solution
  • Generalized Newton Method
  1 Citation (Scopus)

• Signal reconstruction by conjugate gradient algorithm based on smoothing l₁ -norm

  Wu, C., Zhan, J., Lu, Y. & Chen, J. S., 2019 Dec 1, In: Calcolo. 56, 4, 42.

  Research output: Contribution to journal › Article › peer-review

  • Signal Reconstruction
  • Signal reconstruction
  • Conjugate Gradient Algorithm
  • L1-norm
  • Smoothing
  2 Citations (Scopus)

• Smoothan analysis on cone function associated with ellipsoidal cone

  Li, Y. & Chen, J. S., 2020, In: Journal of Nonlinear and Convex Analysis. 21, 6, p. 1327-1347 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Cones
  • Cone
  • Differentiability
  • Directional Differentiability
  • Conic Programming

• Smooth and nonsmooth analyses of vector-valued functions associated with circular cones

  Chang, Y. L., Yang, C. Y. & Chen, J. S., 2013, In: Nonlinear Analysis, Theory, Methods and Applications. 85, p. 160-173 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Circular cone
  • Vector-valued Functions
  • Differentiability
  • Cones
  • Semismoothness
  14 Citations (Scopus)

• Smoothing Strategy Along with Conjugate Gradient Algorithm for Signal Reconstruction

  Wu, C., Wang, J., Alcantara, J. H. & Chen, J. S., 2021 Apr, In: Journal of Scientific Computing. 87, 1, 21.

  Research output: Contribution to journal › Article › peer-review

  • Signal Reconstruction
  • Signal reconstruction
  • Conjugate Gradient Algorithm
  • Smoothing
  • Strategy

• SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions

  Pan, S., Chiang, Y. & Chen, J. S., 2012 Sep 1, In: Linear Algebra and Its Applications. 437, 5, p. 1264-1284 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Monotone Matrix
  • Second-order Cone
  • Matrix Function
  • Cones
  • Convex function
  5 Citations (Scopus)

• Solution properties and error bounds for semi-infinite complementarity problems

  Zhou, J., Xiu, N. & Chen, J. S., 2013 Mar 26, In: Journal of Industrial and Management Optimization. 9, 1, p. 99-115 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Error Bounds
  • Complementarity Problem
  • Complementarity
  • Solution Set
  • Semismoothness
  4 Citations (Scopus)