Projects per year

## 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

Quadratic Constraint
Mathematics

Duality Gap
Mathematics

Quadratic Function
Mathematics

Min-max Problem
Mathematics

Generalized Fractional Programming
Mathematics

Interior Point Method
Mathematics

Quadratic Programming
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 1995 2020

## Research Output 1992 2020

## 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 proceeding › Conference 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 journal › Article

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 journal › Article

Minimum Variance

Interval

Divisible

Uniform distribution

Efficient Algorithms

## Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere

Nguyen, V. B., Nguyen, T. N. & Sheu, R. L., 2019 Jan 1, (Accepted/In press) In : Journal of Global Optimization.Research output: Contribution to journal › Article

Strong Duality

Unit Sphere

Quadratic form

Decomposition

Quadratic Constraint

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 journal › Article

Double-well Potential

Potential Function

n-dimensional

Local Minimizer

Optimization

## Thesis

## A Complete Solution to Quadratic Programming with One Inequality Quadratic Constraint

Author: 剛玄, 林., 2018 Feb 7Supervisor: 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 26Supervisor: Sheu, R. (Supervisor)

Student thesis: Master's Thesis

## An SDP approach for non-convex quadratic fractional programming problems

Author: 文蓬, 阮., 2015 Jun 17Supervisor: 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 25Supervisor: 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 29Supervisor: Sheu, R. (Supervisor)

Student thesis: Master's Thesis