Department of Mathematics

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A class of interior proximal-like algorithms for convex second-order cone programming

Pan, S. & Chen, J. S., 2008 Jun 1, In : SIAM Journal on Optimization. 19, 2, p. 883-910 28 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

A combinatorial proof of the cyclic sieving phenomenon for faces of Coxeterhedra

Eu, S. P., Fu, T. S. & Pan, Y. J., 2013 May 1, In : Journal of Combinatorial Optimization. 25, 4, p. 617-638 22 p.

Research output: Contribution to journalArticle

A common maximal element of condensing mappings

Chu, L. J. & Huang, C. H., 2020, In : Fixed Point Theory. 21, 1, p. 125-132 8 p.

Research output: Contribution to journalArticle

Open Access

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 journalArticle

2 Citations (Scopus)

A continuation approach for the capacitated multi-facility weber problem based on nonlinear SOCP reformulation

Chen, J. S., Pan, S. & Ko, C. H., 2011 Aug 1, In : Journal of Global Optimization. 50, 4, p. 713-728 16 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate

Chang, S. M., Kuo, Y. C., Lin, W. W. & Shieh, S-F., 2005 Dec 10, In : Journal of Computational Physics. 210, 2, p. 439-458 20 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

A damped Gauss-Newton method for the second-order cone complementarity problem

Pan, S. & Chen, J-S., 2009 Jun 1, In : Applied Mathematics and Optimization. 59, 3, p. 293-318 26 p.

Research output: Contribution to journalArticle

38 Citations (Scopus)

A descent method for a reformulation of the second-order cone complementarity problem

Chen, J. S. & Pan, S., 2008 Apr 1, In : Journal of Computational and Applied Mathematics. 213, 2, p. 547-558 12 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

A family of NCP functions and a descent method for the nonlinear complementarity problem

Chen, J. S. & Pan, S., 2008 Jul 1, In : Computational Optimization and Applications. 40, 3, p. 389-404 16 p.

Research output: Contribution to journalArticle

65 Citations (Scopus)

A finite element based fast eigensolver for three dimensional anisotropic photonic crystals

Chou, S. H., Huang, T. M., Li, T., Lin, J. W. & Lin, W. W., 2019 Jun 1, In : Journal of Computational Physics. 386, p. 611-631 21 p.

Research output: Contribution to journalArticle

A fixed point theorem with application to abstract economy

Huang, C. H. & Chu, L-J., 2016 Jan 1, In : Journal of Nonlinear and Convex Analysis. 17, 1, p. 177-184 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

A framework for analysing textbooks based on the notion of abstraction

Yang, K. L., 2013 Jan 1, In : For the Learning of Mathematics. 33, 1, p. 33-39 7 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A Framework for Assessing Reading Comprehension of Geometric Construction Texts

Yang, K. L. & Li, J. L., 2018 Jan 1, In : International Journal of Science and Mathematics Education. 16, 1, p. 109-124 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

A general criterion for factorial designs under model uncertainty

Tsai, P. W. & Gilmour, S. G., 2010 May 1, In : Technometrics. 52, 2, p. 231-242 12 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

A generalization of d'Alembert formula

Chang, Y. H. & Hong, C. H., 2007 Aug 1, In : Proceedings of the Indian Academy of Sciences: Mathematical Sciences. 117, 3, p. 411-427 17 p.

Research output: Contribution to journalArticle

A generalization of the primitive normal basis theorem

Hsu, C-N. & Nan, T. T., 2011 Jan 1, In : Journal of Number Theory. 131, 1, p. 146-157 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

A generalized structure-preserving doubling algorithm for generalized discrete-time algebraic Riccati equations

Hwang, T. M., Chu, E. K. W. & Lin, W. W., 2005 Sep 20, In : International Journal of Control. 78, 14, p. 1063-1075 13 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
5 Citations (Scopus)

A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations

Kuo, Y. C., Lin, W. W., Shieh, S. F. & Wang, W., 2010 May 1, In : Applied Numerical Mathematics. 60, 5, p. 513-526 14 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A Large Sieve Inequality for rational function fields

Hsu, C. N., 1996 Jun, In : Journal of Number Theory. 58, 2, p. 267-287 21 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

A least-square semismooth Newton method for the second-order cone complementarity problem

Pan, S. & Chen, J. S., 2011 Feb, In : Optimization Methods and Software. 26, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Algebraic identification for optimal nonorthogonality 4 × 4 complex space-time block codes using tensor product on quaternions

Chen, M. Y., Li, H. C. & Pei, S. C., 2005 Jan 1, In : IEEE Transactions on Information Theory. 51, 1, p. 324-330 7 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Algorithms on parametric decomposition of monomial ideals

Liu, J. C., 2002 Jul 1, In : Communications in Algebra. 30, 7, p. 3435-3456 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

A linearly convergent derivative-free descent method for the second-order cone complementarity problem

Pan, S. & Chen, J. S., 2010 Oct 29, In : Optimization. 59, 8, p. 1173-1197 25 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

A mathematical model of bimodal epigenetic control of MIR-193a in ovarian cancer stem cells

Cheng, F. H. C., Aguda, B. D., Tsai, J. C., Kochańczyk, M., Lin, J. M. J., Chen, G. C. W., Lai, H. C., Nephew, K. P., Hwang, T. W. & Chan, M. W. Y., 2014 Dec 29, In : PloS one. 9, 12, e116050.

Research output: Contribution to journalArticle

7 Citations (Scopus)

A merit function method for infinite-dimensional SOCCPs

Chiang, Y., Pan, S. & Chen, J. S., 2011 Nov 1, In : Journal of Mathematical Analysis and Applications. 383, 1, p. 159-178 20 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations

Kuo, Y. C., Lin, W. W., Shieh, S. F. & Wang, W., 2009 Nov 20, In : Journal of Computational Physics. 228, 21, p. 7941-7956 16 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

A model of reading comprehension of geometry proof

Yang, K. L. & Lin, F. L., 2008 Jan 1, In : Educational Studies in Mathematics. 67, 1, p. 59-76 18 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)

An almost-linear time and linear space algorithm for the longest common subsequence problem

Guo, J. Y. & Hwang, F. K., 2005 May 16, In : Information Processing Letters. 94, 3, p. 131-135 5 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Analysis of nonsmooth vector-valued functions associated with second-order cones

Chen, J. S., Chen, X. & Tseng, P., 2004 Sep 1, In : Mathematical Programming. 101, 1, p. 95-117 23 p.

Research output: Contribution to journalArticle

75 Citations (Scopus)

Analysis of paired comparison data using Mx

Tsai, R. C. & Wu, T. L., 2004 Jan 1, In : Structural Equation Modeling. 11, 1, p. 73-91 19 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
4 Citations (Scopus)
2 Citations (Scopus)

An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations

Huang, T. M., Wang, W. & Lee, C. T., 2010 Jun, In : Taiwanese Journal of Mathematics. 14, 3 A, p. 999-1021 23 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues

Li, T., Huang, T. M., Lin, W. W. & Wang, J. N., 2017 Feb 7, In : Inverse Problems. 33, 3, 035009.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Anemia and iron deficiency in pregnant Ghanaian women from urban areas

Engmann, C., Adanu, R., Lu, T. S., Bose, C. & Lozoff, B., 2008 Apr, In : International Journal of Gynecology and Obstetrics. 101, 1, p. 62-66 5 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
5 Citations (Scopus)

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 journalArticle

5 Citations (Scopus)

A neural network based on the generalized Fischer-Burmeister function for nonlinear complementarity problems

Chen, J-S., Ko, C. H. & Pan, S., 2010 Mar 1, In : Information Sciences. 180, 5, p. 697-711 15 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

A new class of penalized NCP-functions and its properties

Chen, J. S., Huang, Z. H. & She, C. Y., 2011 Sep 1, In : Computational Optimization and Applications. 50, 1, p. 49-73 25 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

A new potential reduction algorithm for smooth convex programming

Chu, L. J., 1998 Jan 1, In : Optimization. 44, 3, p. 235-262 28 p.

Research output: Contribution to journalArticle

A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations

Huang, T. M., Huang, W. Q., Li, R. C. & Lin, W. W., 2016 Mar 1, In : Numerical Linear Algebra with Applications. 23, 2, p. 291-313 23 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
1 Citation (Scopus)

An extension of Mehta theorem with applications

Wu, Y. L., Huang, C. H. & Chu, L. J., 2012 Jul 15, In : Journal of Mathematical Analysis and Applications. 391, 2, p. 489-495 7 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

An extension of michael's selection theorem

Chu, L-J. & Huang, C. H., 2011 Dec 1, In : Acta Mathematica Vietnamica. 36, 1, p. 105-112 8 p.

Research output: Contribution to journalArticle

A nonlocal parabolic problem arising in linear friction welding

Guo, Y. J. L., 2010 Mar 1, In : Osaka Journal of Mathematics. 47, 1, p. 33-40 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

An ordinary differential equation arising in the ricci flow on the plane

Quo, J. S. & Lin Guo, Y. J., 2001 Dec 1, In : ANZIAM Journal. 42, 3, p. 438-444 7 p.

Research output: Contribution to journalArticle

A note on similarity solutions for boundary layer flows with prescribed heat flux

Tsai, J-C. & Wang, C. A., 2007 Aug 1, In : Mathematical Methods in the Applied Sciences. 30, 12, p. 1453-1466 14 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)