Department of Mathematics

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2017

從教學事件分析國中數學教科書與備課用書之設計脈絡-以三角形性質單元為例

左台益(Tai-Yih T & 李健恆, 2017, In : 教科書研究. 10, 2, p. 67-97 31 p.

Research output: Contribution to journalArticle

閱讀策略教學對高二學生數學學習表現的影響

蘇慧珍(Hui-Chen S, 楊凱琳(Kai-Lin Y & 陳佳陽(Chia-Yang C, 2017, In : Journal of Research in Education Sciences. 62, 1, p. 33-58 26 p.

Research output: Contribution to journalArticle

2016

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)
5 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

2 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 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)

Change-Point Detection for Shifts in Control Charts Using em Change-Point Algorithms

Chang, S-T. & Lu, K. P., 2016 Apr 1, In : Quality and Reliability Engineering International. 32, 3, p. 889-900 12 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Change-point detection for shifts in control charts using fuzzy shift change-point algorithms

Lu, K. P., Chang, S-T. & Yang, M. S., 2016 Mar 1, In : Computers and Industrial Engineering. 93, p. 12-27 16 p.

Research output: Contribution to journalArticle

10 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 journalArticle

8 Citations (Scopus)

Delay-induced mixed-mode oscillations in a 2D hindmarsh-rose-type model

Chen, S. S. & Cheng, C. Y., 2016 Jan, In : Discrete and Continuous Dynamical Systems - Series B. 21, 1, p. 37-53 17 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
3 Citations (Scopus)

Estimates of the mean field equations with integer singular sources: Non-simple blowup

Kuo, T. J. & Lin, C. S., 2016 Jul, In : Journal of Differential Geometry. 103, 3, p. 377-424 48 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Estimation of Generalized DINA Model with Order Restrictions

Hong, C. Y., Chang, Y. W. & Tsai, R. C., 2016 Oct 1, In : Journal of Classification. 33, 3, p. 460-484 25 p.

Research output: Contribution to journalArticle

3 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 journalArticle

1 Citation (Scopus)

Groups with Certain Normality Conditions

Liu, C. H. & Passman, D. S., 2016 Aug 2, In : Communications in Algebra. 44, 8, p. 3308-3323 16 p.

Research output: Contribution to journalArticle

Hamiltonian system for the elliptic form of Painlevé VI equation

Chen, Z., Kuo, T. J. & Lin, C. S., 2016 Sep 1, In : Journal des Mathematiques Pures et Appliquees. 106, 3, p. 546-581 36 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
3 Citations (Scopus)

Liouville properties for p-harmonic maps with finite q-energy

Chang, S. C., Chen, J. T. & Wei, S. W., 2016 Feb, In : Transactions of the American Mathematical Society. 368, 2, p. 787-825 39 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

New families of qb-optimal saturated two-level main effects screening designs

Tsai, P. W. & Gilmour, S., 2016 Apr, In : Statistica Sinica. 26, 2, p. 605-617 13 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling

Huang, T. M., Lin, W. W. & Mehrmann, V., 2016 Jan 1, In : SIAM Journal on Scientific Computing. 38, 2, p. B191-B218

Research output: Contribution to journalArticle

4 Citations (Scopus)

Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control

Fan, H. Y., Weng, P. C. Y. & Chu, E. K. W., 2016 Feb 1, In : Numerical Algorithms. 71, 2, p. 245-272 28 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Q-less QR decomposition in inner product spaces

Fan, H. Y., Zhang, L., Chu, E. K. W. & Wei, Y., 2016 Feb 15, In : Linear Algebra and Its Applications. 491, p. 292-316 25 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Ramification filtrations of certain abelian Lie extensions of local fields

Hsia, L-C. & Li, H-C., 2016 Nov 1, In : Journal of Number Theory. 168, p. 135-153 19 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Stability analysis in delayed within-host viral dynamics with both viral and cellular infections

Chen, S. S., Cheng, C. Y. & Takeuchi, Y., 2016 Oct 15, In : Journal of Mathematical Analysis and Applications. 442, 2, p. 642-672 31 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)

Stochastic growth dynamics and composite defects in quenched immiscible binary condensates

Liu, I. K., Pattinson, R. W., Billam, T. P., Gardiner, S. A., Cornish, S. L., Huang, T. M., Lin, W. W., Gou, S. C., Parker, N. G. & Proukakis, N. P., 2016 Feb 18, In : Physical Review A. 93, 2, 023628.

Research output: Contribution to journalArticle

Open Access
20 Citations (Scopus)

Structure-preserving flows of symplectic matrix pairs

Kuo, Y. C., Lin, W. W. & Shieh, S. F., 2016 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 37, 3, p. 976-1001 26 p.

Research output: Contribution to journalArticle

3 Citations (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 journalArticle

4 Citations (Scopus)

Unlikely intersection for two-parameter families of polynomials

Ghioca, D., Hsia, L. C. & Tucker, T. J., 2016 Jan 1, In : International Mathematics Research Notices. 2016, 24, p. 7589-7618 30 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2015

A null space free Jacobi-Davidson iteration for Maxwell's operator

Huang, Y. L., Huang, T. M., Lin, W. W. & Wang, W. C., 2015 Jan 1, In : SIAM Journal on Scientific Computing. 37, 1, p. A1-A29

Research output: Contribution to journalArticle

5 Citations (Scopus)

A robust numerical algorithm for computing Maxwell's transmission eigenvalue problems

Hwang, T-M., Huang, W. Q. & Lin, W. W., 2015 Jan 1, In : SIAM Journal on Scientific Computing. 37, 5, p. A2403-A2423

Research output: Contribution to journalArticle

8 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 journalArticle

3 Citations (Scopus)
4 Citations (Scopus)

DIF Detection Using Multiple-Group Categorical CFA With Minimum Free Baseline Approach

Chang, Y. W., Huang, W. K. & Tsai, R-C., 2015 Jun 1, In : Journal of Educational Measurement. 52, 2, p. 181-199 19 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Exploring the educative power of an experienced mathematics teacher educator-researcher

Yang, K. L., Hsu, H. Y., Lin, F. L., Chen, J. C. & Cheng, Y. H., 2015 May 1, In : Educational Studies in Mathematics. 89, 1, p. 19-39 21 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Fuzzy Change-Point Algorithms for Regression Models

Chang, S-T., Lu, K. P. & Yang, M. S., 2015 Dec 1, In : IEEE Transactions on Fuzzy Systems. 23, 6, p. 2343-2357 15 p., 7081744.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Homotopy for rational riccati equations arising in stochastic optimal control

Zhang, L., Fan, H. Y., Chu, E. K. W. & Wei, Y., 2015 Jan 1, In : SIAM Journal on Scientific Computing. 37, 1, p. B103-B125

Research output: Contribution to journalArticle

2 Citations (Scopus)

Identification of co-seismic ground motion due to fracturing and impact of the Tsaoling landslide, Taiwan

Kuo, C. Y., Chang, K. J., Tsai, P. W., Wei, S. K., Chen, R. F., Dong, J. J., Yang, C. M., Chan, Y. C. & Tai, Y. C., 2015 Sep 8, In : Engineering Geology. 196, p. 268-279 12 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Multigroup testing for items with real-valued status under standard arithmetic

Chang, F. H., Chen, H. B., Guo, J. Y. & Huang, Y. P., 2015 Feb 1, In : IEEE Transactions on Information Theory. 61, 2, p. 1084-1092 9 p., 6991596.

Research output: Contribution to journalArticle

On-line choice number of complete multipartite graphs: An algorithmic approach

Chang, F. H., Guo, J. Y., Chen, H. B. & Huang, Y. P., 2015 Jan 2, In : Electronic Journal of Combinatorics. 22, 1

Research output: Contribution to journalArticle

Open Access

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 journalArticle

3 Citations (Scopus)
2 Citations (Scopus)

Singular value decompositions for single-curl operators in three-dimensional Maxwell's equations for complex media

Chern, R. L., Hsieh, H. E., Huang, T. M., Lin, W. W. & Wang, W., 2015 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 36, 1, p. 203-224 22 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Stationary waves on the sphere

Bialecki, S., Kazmierczak, B. & Tsai, J-C., 2015 Jan 1, In : SIAM Journal on Applied Mathematics. 75, 4, p. 1761-1788 28 p.

Research output: Contribution to journalArticle

3 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 journalArticle

5 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 journalArticle

1 Citation (Scopus)

The Second-Order L 2-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane

Lin, C. C., Lue, Y. K. & Schwetlick, H. R., 2015 Apr 1, In : Journal of Elasticity. 119, 1-2, p. 263-291 29 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The sorting index on colored permutations and even-signed permutations

Eu, S. P., Lo, Y. H. & Wong, T. L., 2015 Jul 1, In : Advances in Applied Mathematics. 68, p. 18-50 33 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Two refined major-balance identities on 321-avoiding involutions

Eu, S. P., Fu, T. S., Pan, Y. J. & Ting, C. T., 2015 Oct 1, In : European Journal of Combinatorics. 49, p. 250-264 15 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)