People

Education

2016-2019: PhD student, Institute of Mathematics (Vietnam Academy of Science and Technology), Hanoi, Vietnam.

PhD Thesis: Some Contributions to the Theory of Generalized Polyhedral Optimization Problems

Supervisor:  Prof. Dr.Sc. Nguyen Dong Yen, Institute of Mathematics (Vietnam Academy of Science and Technology).

2007-2009: Master student, Institute of Mathematics (Vietnam Academy of Science and Technology), Hanoi, Vietnam. (Joint Master program with Thai Nguyen University). 

Master Thesis: Piecewise Linear Multiobjective Optimization Problems

Supervisor:  Prof. Dr.Sc. Nguyen Dong Yen, Institute of Mathematics (Vietnam Academy of Science and Technology).

2002-2006: University student, Hanoi National University of Education, Hanoi, Vietnam.

Supervisor:  Prof. Dr.Sc. Nguyen Minh Chuong, Institute of Mathematics (Vietnam Academy of Science and Technology), and Dr. Nguyen Van Khai, Hanoi National University of Education.

Teaching

• Optimzation Theory

• Linear Programming

• Introduction to Social Statistics 

• Numerical Analysis

• Probability & Statistics 

Publications

11. Duong Thi Viet An, Nguyen Ngoc Luan, Nguyen Dong Yen, Differential stability in convex optimization via generalized polyhedrality, accepted for publication in Vietnam Journal of Mathematics, 2024.

10. Nguyen Ngoc Luan, Nguyen Dong Yen, Refinements and extensions of some strong duality theorems in conic linear programming, accepted for publication in Acta Mathematica Vietnamica, 2024.

9. Nguyen Ngoc Luan, Nguyen Dong Yen, Strong duality and solution existence under minimal assumptions in conic linear programming, Journal of Optimization Theory and Applications, Online, https://doi.org/10.1007/s10957-023-02318-w, 2023. 

8. Nguyen Ngoc Luan, Nguyen Mau Nam, Nguyen Nang Thieu, Nguyen Dong Yen, Relationships between polyhedral convex sets and generalized polyhedral convex sets, Journal of Optimization Theory and Applications, Vol. 199 (2023), 766-786.

7. Nguyen Ngoc Luan, Do Sang Kim, Nguyen Dong Yen, Two optimal value functions in parametric conic linear programming, Journal of Optimization Theory and Applications,  Vol. 193 (2022), 574–597.

6. Nguyen Ngoc Luan, Nguyen Dong Yen, A representation of generalized convex polyhedra and applications, Optimization, Vol. 69 (2020), No. 3, 471-492.

5. Nguyen Thi Thu Huong, Nguyen Ngoc Luan, Nguyen Dong Yen, Xiaopeng Zhao, The Borwein proper efficiency in linear fractional vector optimization, Journal Nonlinear and Convex Analysis, Vol. 20 (2019), No. 12, 2579-2595.

4. Nguyen Ngoc Luan, Jen-Chih Yao, Generalized polyhedral convex optimization problems, Journal of Global Optimization, Vol. 75 (2019), No. 3, 789-811.

3. Nguyen Ngoc Luan, Efficient solutions in generalized linear vector optimization. Applicable Analysis, Vol. 98 (2019), No. 9, 1694-1704.

2. Nguyen Ngoc Luan, Jen-Chih Yao, Nguyen Dong Yen, On some generalized polyhedral convex constructions, Numerical Functional Analysis and Optimization, Vol. 39 (2018), No. 5, 537-570.

1. Nguyen Ngoc Luan, Piecewise linear vector optimization problems on locally convex Hausdorff topological vector spaces,  Acta Mathematica Vietnamica, Vol. 43 (2018), No. 2, 289-308.

Research Projects

A - Head of the project:  

1. Research on the Qualitative Properties of the Conic Linear Programming Problem, funded by Vietnam Ministry of Education and Training (National Key Program for Mathematics Development 2020-2030) under grant number B2022-CTT-06.

2.  Using Duality Relationships to Study Qualitative Properties of Some Mathematical Programming Problems, funded by the Postdoctoral Scholarship Programme of Vingroup Innovation Foundation (VINIF) code VINIF.2022.STS.41.

3. Generalized Polyhedral Convex Sets and Applications in Vector Optimization, funded by Hanoi National University of Education under grant number SPHN17-2.

4. Differential Stability in Conic Linear Programming, funded by Hanoi National University of Education under grant number SPHN20-07.

B - Member of the project: 

1. Variational Analysis and Some Problems in Optimization Theory, funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.01-2018.38, Head of the project: Prof. Dr.Sc. Nguyen Dong Yen.

2. Variational Analysis and Some Problems in Optimization Theory, funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.01-2014.37, Head of the project: Prof. Dr.Sc. Nguyen Dong Yen.

3. Nonsmooth Optimization and Nonconvex Duality, funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2012.03, Head of the project: Assoc. Prof.  Dr. Nguyen Quang Huy.

Scientific Distinctions

1. Prize of  National Program for the Development of Mathematics until 2020, Vietnam, for a research paper published in 2018 (the paper was written jointly with Prof. Jen-Chih Yao and Prof. Nguyen Dong Yen).

2. Awarded a merit certificate and a prize from Institute of Mathematics, VAST 

Scientific Visits

7/2016-12/2016: Research stay at Research Center for Nonlinear Analysis and Optimization and General Education Center, Kaohsiung Medical University  (Taiwan). Scientific advisor: Prof. Jen-Chih Yao and Prof. Ching-Feng Wen.

7/2017-9/2017: Research stay at Research Center for Nonlinear Analysis and Optimization and General Education Center, Kaohsiung Medical University  (Taiwan). Scientific advisor: Prof. Jen-Chih Yao and Prof. Ching-Feng Wen.

10/2021-12/2021: Research stay at Vietnam Institute of Advanced Study in Mathematics (VIASM)

Referee and Reviewer of Journals

  1. SIAM Journal on Optimization

  2. Journal of Optimization Theory and Applications

3. Acta Mathematica Vietnamica 

4. Mathematical Reviews

5. Optimization Letters