Find Research outputs

Search results

• 2021

  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
• 2020

  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

• 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 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

• 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

• The decompositions with respect to two core non-symmetric cones

  Lu, Y., Yang, C. Y., Chen, J. S. & Qi, H. D., 2020 Jan 1, In: Journal of Global Optimization. 76, 1, p. 155-188 34 p.

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

  • Cones
  • Decomposition
  • Cone
  • Decompose
  • Convex Optimization

• The P-class and Q-class functions on symmetric cones

  Huang, C. H., Chang, Y. L. & Chen, J. S., 2020, In: Journal of Nonlinear and Variational Analysis. 4, 2, p. 273-284 12 p.

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

  Open Access

  • Symmetric Cone
  • Cones
  • Monotone Function
  • Class
  • Relationships
• 2019

  Algorithmic applications

  Chen, J. S., 2019 Jan 1, Springer Optimization and Its Applications. Springer International Publishing, p. 101-158 58 p. (Springer Optimization and Its Applications; vol. 143).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Convexity
  • Performance
  • Characterization

• 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)

• 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)

• 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

• 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 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)

• Possible extensions

  Chen, J. S., 2019 Jan 1, Springer Optimization and Its Applications. Springer International Publishing, p. 189-200 12 p. (Springer Optimization and Its Applications; vol. 143).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Convexity
  • Generalized Convexity
  • Optimization Theory
  • Generalization
  • Economics

• Preface

  Chen, J. S., 2019 Jan 1, In: Springer Optimization and Its Applications. 143, p. v-vi

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

• 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)

• SOC-convexity and SOC-monotonity

  Chen, J. S., 2019 Jan 1, Springer Optimization and Its Applications. Springer International Publishing, p. 39-99 61 p. (Springer Optimization and Its Applications; vol. 143).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Monotone Function
  • Monotonicity
  • Convexity
  • Matrix Function
  • Natural Extension

• SOC functions

  Chen, J. S., 2019 Jan 1, Springer Optimization and Its Applications. Springer International Publishing, p. 1-37 37 p. (Springer Optimization and Its Applications; vol. 143).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Second-order Cone
  • Merit Function
  • Complementarity
  • Complementarity Problem
  • KKT Conditions

• SOC functions and their applications

  Chen, J. S., 2019 Jan 1, Springer Optimization and Its Applications. Springer International Publishing, p. 1-201 201 p. (Springer Optimization and Its Applications; vol. 143).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter
  1 Citation (Scopus)

• SOC means and SOC inequalities

  Chen, J. S., 2019 Jan 1, Springer Optimization and Its Applications. Springer International Publishing, p. 159-188 30 p. (Springer Optimization and Its Applications; vol. 143).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Minkowski's inequality
  • Weighted Mean
  • Convergence Analysis
  • Monotonicity
  • Convexity

• The Schatten p-norm on Rⁿ

  Hunag, C. H., Chen, J. S. & Hu, C. C., 2019, In: Journal of Nonlinear and Convex Analysis. 21, 1, p. 21-29 9 p.

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

  • Algebra
  • Norm
  • Euclidean Jordan Algebra
  • Relationships
  • Concepts

• The variational geometry, projection expression and decomposition associated with ellipsoidal cones

  Lu, Y. & Chen, J. S., 2019 Jan 1, In: Journal of Nonlinear and Convex Analysis. 20, 4, p. 715-738 24 p.

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

  • Cones
  • Cone
  • Projection
  • Decomposition
  • Decompose
  1 Citation (Scopus)

• Trace versions of young inequality and its applications

  Huang, C. H., Chen, J. S. & Hu, C. C., 2019 Jan 1, In: Journal of Nonlinear and Convex Analysis. 20, 2, p. 215-228 14 p.

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

  • Young's Inequality
  • Cones
  • Trace
  • Minkowski's inequality
  • Second-order Cone
  3 Citations (Scopus)

• Unified smoothing functions for absolute value equation associated with second-order cone

  Nguyen, C. T., Saheya, B., Chang, Y. L. & Chen, J. S., 2019 Jan 1, In: Applied Numerical Mathematics. 135, p. 206-227 22 p.

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

  • Smoothing Function
  • Second-order Cone
  • Absolute value
  • Cones
  • Engineering
  2 Citations (Scopus)
• 2018

  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)

• 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

• 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 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)

• Some inequalities for means defined on the lorentz cone

  Chang, Y. L., Huang, C. H., Chen, J. S. & Hu, C. C., 2018 Oct 1, In: Mathematical Inequalities and Applications. 21, 4, p. 1015-1028 14 p.

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

  Open Access

  • Cones
  • Cone
  • Logarithmic Mean
  • Trace Inequality
  • Second-order Cone
  2 Citations (Scopus)

• Two smooth support vector machines for ε -insensitive regression

  Gu, W., Chen, W. P., Ko, C. H., Lee, Y. J. & Chen, J. S., 2018 May 1, In: Computational Optimization and Applications. 70, 1, p. 171-199 29 p.

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

  • Support Vector Machine
  • Support vector machines
  • Regression
  • Smoothing Function
  • Newton-Raphson method
  3 Citations (Scopus)
• 2017

  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 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)

• 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)

• 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)

• 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)

• 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)
• 2016

  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)

• 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)

• 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)

• Symmetric cone monotone functions and symmetric cone convex functions

  Chang, Y. L., Chen, J. S. & Pan, S., 2016 Jan 1, In: Journal of Nonlinear and Convex Analysis. 17, 3, p. 499-512 14 p.

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

  • Symmetric Cone
  • Monotone Function
  • Cones
  • Convex function
  • Euclidean Jordan Algebra
  5 Citations (Scopus)
• 2015

  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)

• 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)

• Symmetrization of generalized natural residual function for NCP

  Chang, Y. L., Chen, J. S. & Yang, C. Y., 2015 Jul 1, In: Operations Research Letters. 43, 4, p. 354-358 5 p.

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

  • NCP Function
  • Symmetrization
  • Nonlinear Complementarity Problem
  • Graph
  • Merit Function
  7 Citations (Scopus)

• The H-differentiability and calmness of circular cone functions

  Zhou, J., Chang, Y-L. & Chen, J-S., 2015 Dec 1, In: Journal of Global Optimization. 63, 4, p. 811-833 23 p.

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

  • Circular cone
  • Differentiability
  • Calmness
  • Cones
  • Spectral Decomposition
  2 Citations (Scopus)

• Variational analysis of circular cone programs

  Zhou, J., Chen, J. S. & Mordukhovich, B. S., 2015 Jan 2, In: Optimization. 64, 1, p. 113-147 35 p.

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

  • Circular cone
  • Variational Analysis
  • Cones
  • Derivatives
  • Conic Programming
  14 Citations (Scopus)
• 2013

  Advances in nonlinear analysis and optimization

  Chen, J. S., Lee, G. M. & Tawhid, M. A., 2013, In: Abstract and Applied Analysis. 2013, 439012.

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