Ruey-Lin Sheu

Professor

  • 366 Citations
  • 9 h-Index
1992 …2020
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Personal profile

Education

  • 1992 PhD, Department of Mathematics, North Carolina State University

Research Interests

  • Algorithms
  • Fractional Progamming
  • Nonconvex Quadratic Programming
  • Nonlinear Analysis
  • Operations Research

Experience

  • 1999~present Professor, National Cheng Kung University

Fingerprint Dive into the research topics where Ruey-Lin Sheu is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Fractional Programming Mathematics
Duality Gap Mathematics
Quadratic Function Mathematics
Quadratic Constraint Mathematics
Min-max Problem Mathematics
Generalized Fractional Programming Mathematics
Interior Point Method Mathematics
Quadratic Programming Mathematics

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Projects 1995 2020

刻劃實空間二次式聯合數值域的凸性

Sheu, R.

19-08-0120-07-31

Project: Research project

以解析方法求解 Celis-Dennis-Tapia 問題

Sheu, R.

17-08-0118-07-31

Project: Research project

以解析方法求解 Celis-Dennis-Tapia 問題

Sheu, R.

16-08-0117-07-31

Project: Research project

Research Output 1992 2020

  • 366 Citations
  • 9 h-Index
  • 30 Article
  • 2 Comment/debate
  • 1 Conference contribution
  • 1 Editorial

Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma

Nguyen, H. Q., Sheu, R-L. & Xia, Y., 2020 Jan 1, Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. Le Thi, H. A., Le, H. M. & Pham Dinh, T. (eds.). Springer Verlag, p. 221-227 7 p. (Advances in Intelligent Systems and Computing; vol. 991).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Polynomials

Geometric properties for level sets of quadratic functions

Nguyen, H. Q. & Sheu, R-L., 2019 Feb 15, In : Journal of Global Optimization. 73, 2, p. 349-369 21 p.

Research output: Contribution to journalArticle

Quadratic Function
Level Set
Intermediate value theorem
Control theory
Sensitivity analysis

Minimum variance allocation among constrained intervals

Sun, H. M. & Sheu, R-L., 2019 May 15, In : Journal of Global Optimization. 74, 1, p. 21-44 24 p.

Research output: Contribution to journalArticle

Minimum Variance
Interval
Divisible
Uniform distribution
Efficient Algorithms
1 Citation (Scopus)

Double well potential function and its optimization in the n-dimensional real space - Part II

Xla, Y., Sheu, R-L., Fang, S. C. & Xing, W., 2017 Jul 1, In : Journal of Industrial and Management Optimization. 13, 3, p. 1307-1328 22 p.

Research output: Contribution to journalArticle

Double-well Potential
Potential Function
n-dimensional
Local Minimizer
Optimization

Theory and application of p-regularized subproblems for p>2

Hsia, Y., Sheu, R-L. & Yuan, Y. X., 2017 Sep 3, In : Optimization Methods and Software. 32, 5, p. 1059-1077 19 p.

Research output: Contribution to journalArticle

Minimizer
Combinatorial optimization
Trust Region Subproblem
Linear systems
Necessary and Sufficient Optimality Conditions

Thesis

A Complete Solution to Quadratic Programming with One Inequality Quadratic Constraint

Author: 剛玄, 林., 2018 Feb 7

Supervisor: Sheu, R. (Supervisor)

Student thesis: Doctoral Thesis

An Illustrative Example to Study Games in Extensive Form and Its Nash Equilibrium

Author: 珮瑜, 曾., 2015 Aug 26

Supervisor: Sheu, R. (Supervisor)

Student thesis: Master's Thesis

An SDP approach for non-convex quadratic fractional programming problems

Author: 文蓬, 阮., 2015 Jun 17

Supervisor: Sheu, R. (Supervisor)

Student thesis: Doctoral Thesis

Duality Gap Estimation for Box Constrained Quadratic Programs via Weighted Distance Measures

Author: 之翊, 翁., 2014 Jul 25

Supervisor: Sheu, R. (Supervisor)

Student thesis: Master's Thesis

Fully comprehensive analysis with illustrative examples to code upper bounds by Delsarte and by Schrijver

Author: 兆敏, 劉., 2018 Aug 29

Supervisor: Sheu, R. (Supervisor)

Student thesis: Master's Thesis