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Nguyen Dinh, Dr. Sc.

 

Associate Professor
Department of Mathematics
International University,
Vietnam National University-HoChiMinh City
Linh Trung Ward, Thu Duc district,
Ho Chi Minh City, Vietnam
Tel. (84)-(8)- 37 24 21 81 Ext. 3435
Fax. (84) - (8) - 37.242.195.
E-mail: ndinh@hcmiu.edu.vn

Education

Education

  • PhD: Hanoi Institute of Mathematics, 1994.
  • M.Sc (Dynamical systems): Mathematical Research Institute, University of Utrecht, The Netherlands, June 1993.
  • M.Sc (Mathematics): Hanoi University of Pedagogy I, 1985.
  • BSc.: Department of Mathematics, College of Education, Hue University, 1980.

Senior Lecturer: 1995
Associate Professor: 2002
HDR (Habilitation à Diriger des Researches): 2010

Employment

  • Senior lecturer, Department of Mathematics, University of Pedagogy, Hue University, Hue city, Vietnam (September 1980 - June 2001)
  • Associate Professor, Department of Mathematics-Informatics, Ho Chi Minh City University of Pedagogy (June 2001 - June 2005)
  • Head of Department of International Relations, Ho Chi Minh City University of Pedagogy (June 2005 - February 2006)
  • Department of Mathematics, International University, Vietnam National University-Ho Chi Minh city (March 2006 – present)

Teaching

For undergraduate students (College of Education, Hue University; Ho Chi Minh City University of Pedagogy; University of Natural Sciences, and International University, VNU-HCM):
• Calculus I, II; Engineering Mathematics; Mathematics for Bio-technology;
• Operations research;
• Theory of measure and integration; Functional analysis;
• Elements of convex analysis and theory extremal problems.

For post-graduate students (College of Education, Hue University; Ho Chi Minh City University of Pedagogy; University of Natural Sciences):
• Modern analysis I, II;
• Variational and optimal control problems;
• Advanced Functional Analysis;
• Variational and optimal control problems (solving methods and existence);
• Nonlinear programming;
• modern convex programming.
o M.Sc. thesis supervisor of 8 students.
o Ph.D. thesis supervisor of 2 students (1 defended PhD thesis in July. 2008)

Scientific Activities

Research topics

• Methods for solving optimal control problems with phases restrictions,
• Existence for variational and optimal control problems in the absence of convexity,
• Farkas lemmas for convex and non-convex systems and applications,
• Theory of general optimization problems: optimality, duality, stability and well-posedness (convex, non-convex, nonsmooth problems).
• Variational inequalities and equilibrium problems: optimality conditions and duality

Awards

• Grant for short-term advanced research: Hanoi Institute of Mathematics: October to December, 2000.
• Postdoctoral Fellowship from the Korea Science and Engineering Foundation (KOSEF), Feb., 2002 to Feb., 2003 (Pukyong National University, Korea).

Projects

  • Head of the project: “Some Farkas-type results  and nonlinear  optimization”,  NAFOSTED Vietnam,  2011 – 2012.
  • Head of the project “Characterizations of convex/nonconvex inequalities and applications to optimization theory”, Vietnam National University-HCM city, 2011.
  • Head of the project “On DC and bilevel optimization problems”, Vietnam National University-HCM city, 2010.
  • Head of the project “Qualitative study of some classes of single and multi-objective optimization problems with infinitely many constraints”, Vietnam National University-HCM city, 2009.
  • Head of the project “On the study of some classes of optimization problems with DC functions and applications”, Ministry of Education and Training, 2008.
  • Head of the project “Dual constraint qualifications and its applications to optimization theory” , Ministry of Education and Training, 2007.
  • Head of the project “Farkas-type results for nonconvex systems ans its applications to optimization theory”, International University, Vietnam National University-Ho Chi Minh city, 2006.
  • Head of the project CS.2005.23.77:  “Extended version of Farkas lemma for systems involving reverse-convex constraints and applications” (2005-2006), Ho Chi Minh city University of Pedagogy, Vietnam.
  • Co-Head of the National Basic Research Project 1.1.10/98: “Optimal algorithms and applications” (1998-2000) (with Dr. H.T. Phung, Hue University).

Member of some projects

  • Rough Analysis and Scientific Computing (National Foundation for Sciences & Technology Development, NAFOSTED, Vietnam, 2010-2011; Head:  Prof. Dr.Sc. Hoang Xuan Phu),
  • Rough analysis and its applications (National Basic Research Project, Hanoi Institute of Mathematics, 2006-2007, 2008-2009; Head: Prof. Dr.Sc. Hoang Xuan Phu)
  • Existence of optimal solutions for some classes of problems in nonlinear analysis (B2005.23.68; Ministry of Sciences, Technology, and Environment, 2005-2006, Head: Assoc. Prof. Le Hoan Hoa, HCM City Univ. of Pedagogy),
  • Rough analysis and its applications (National Basic Research Project, Hanoi Institute of Mathematics, 2003-2005 (National Basic Research Project, Hanoi Institute of Mathematics, Head: Prof. Dr.Sc. Hoang Xuan Phu),
  • Analysis of non-smooth maps and  its application to optimal control theory and optimization (National Basic Research  Project, Hanoi Institute of Mathematics, 1998-2002, Head: Prof. Dr.Sc. Pham Huu Sach),
  • Theory of dynamical systems (National Basic Research Project, National Center of Science and Technology of Vietnam, 1993-1995, Head: Prof. Dr.Sc. Nguyen Khoa Son),
  • Methods of analysis of set-valued maps in non-smooth optimization and in dynamical system (National Basic Research Project, Hanoi Institute of Mathematics, 1992-1995)

Conferences

  • Member of Organizing Committee: International Conference in Mathematics and Applications, UEL, VNU-HCMC, Dec. 2011.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Ba vi (Vietnam), April, 2011.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Ba vi (Vietnam), April, 2010.
  • Member of Scientific Committee of the 8th International School/Workshop on Optimization and Its Applications, Nhatrang (Vietnam), March 1-3, 2010.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Ba vi (Vietnam), April, 2009.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Ba vi (Vietnam), April, 2008.
  • Member of Scientific Committee of The 6th CUD Spring School on Optimization and Applied Mathematics, Hanoi, July, 2008.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Ba vi (Vietnam), April, 2007.
  • Member of Scientific Committee of The 6th CUD Spring School on Optimization and Applied Mathematics, Ho Chi Minh city, March 4-10, 2007.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Ba vi (Vietnam), April 26 - 29, 2006.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Hanoi, May 18 - 22, 2005.
  • Member of Organizing Committee of Workshop on Optimization and Scientific Computing, Hanoi Institute of Mathematics, Hanoi, May 5 - 9, 2004.
  • Member of  Scientific Committee of  The 4 Vietnam-Korea Workshop on Mathematical Optimization Theory and Applications, Ho Chi Minh city, February 18 - 20, 2004

Scientific Visits

  • Institute of Mathematics, University of Utrecht, The Netherlands: June to November 1993.
  • Institute of Mathematics, University of Utrecht, The Netherlands: November 1994 to February 1995.
  • Jean Monet University, Saint-Etienne, France: January to May 1999.
  • Hanoi Institute of Mathematics: October to December 2000 (a grand for short term advanced research).
  • Pukyong National University, Pusan, Korea: February 2002 to February 2003 (Postdoctoral Fellowship from the Korea Science and Engineering Foundation).
  • Mahidol University, Bangkok, Thailand: August 2003.
  • School of Mathematics, University of New South Wales, Sydney, Australia: October to November 2003.
  • Laboratory of Applied Mathematics, University of PAU, France: May -June, 2004.
  • Center for Inter-discipline Scientific Computing, University of Heidelberg, Germany: August to September, 2004.
  • Department of Operations Research and Statistics, University of Alicante, Spain: October, 2004.
  • Department of Operation Research and Statistics, University of Alicante, Spain: December, 2005.
  • Department of Applied Mathematics, Faculty of Sciences, Pukyong National University, Pusan, Korea: February, 2005.
  • Laboratory of Applied Mathematics, University of PAU, France: September, 2006
  • Department of Operation Research and Statistics, University of Alicante, Spain: June, 2007.
  • Department of Mathematics, Faculty of Sciences, University of Namur, Belgium, July-August, 2007.
  • Department of Mathematics, Faculty of Sciences, Pukyong National University, Pusan, Korea: February 3- Feb.18, 2008.
  • Department of Applied Mathematics, Faculty of Laboratory of Applied Mathematics, University of PAU, France: June, 2008.
  • Department of Operation Research and Statistics, University of Alicante, Spain: July, 2008.
  • Department of Mathematics, Faculty of Science, University of Namur, Belgium, August, 2008.
  • Department of Applied Mathematics, University of Metz, France, July, 2009.
  • Department of Operation Research and Statistics, University of Alicante, Spain: July, 2009.
  • Centre de Recerca de Mathematica, Universitat Autonom de Barcelona, Spain, September, 201

Publications

  1. N. Dinh and H.X. Phu, Solving a class of regular optimal control problems with state constraints by the Method of Orienting Curves. Optimization, 25, 1992, pp. 231 -- 247.
  2. N. Dinh and H.X. Phu, Solving a class of optimal control problems which are linear in the control variable by the Method of Orienting Curves, Acta Mathematica Vietnamica, 17, 1992, pp. 115 -- 134.
  3. N. Dinh and H.X. Phu, Method of Orienting Curves and its application to an optimal control problem of a hydroelectric power plant. VN Journal of Mathematics, 20, 1992, pp. 40 -- 53.
  4. N. Dinh, Solving a class of linear optimal control problems with several control variables by the Method of Orienting Curves. Optimization, 30, 1994, pp. 269 - 271.
  5. H.X. Phu and N. Dinh, Some remarks on the Method of Orienting Curves. Numerical Functional Analysis and Optimization, 16 (5\& 6), 1995, pp. 755 - 763.
  6. 6. E.J. Balder and N. Dinh, Some extensions of Berliocchi - Lasry theorem and extremum principles for classes of mathematical programming problems, VN Journal of Mathematics, 27 (1), 1999, pp. 23 - 31.
  7. N. Dinh and L.A. Tuan, Directional Kuhn-Tucker conditions and duality for quasidifferentiable programs, Acta Mathematica Vietnamica, 28(1), 2003, 17 - 38.
  8. V. Jeyakumar, G.M. Lee, and N. Dinh, New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs, SIAM Journal on Optimization, 14(2),2003, 534 - 547.
  9. V. Jeyakumar, G.M. Lee, and N. Dinh, Lagrange multiplier conditions characterizing optimal solution sets of convex programs, Journal of Optimization Theory and Application, 123(1), 2004, 83 - 103.
  10. N. Dinh, V. Jeyakumar, and G.M. Lee, Sequential Lagrangian duality for abstract convex programs without regularity condition, Journal of Optimization Theory and Application, 123, No. 1, 2005, 85-112.
  11. N. Dinh, G. M. Lee, and L. A. Tuan, Generalized Lagrange multipliers for non-convex directionally differentiable programs. In Continuous Optimization: current trends and modern applications, Edts. V. Jeyakumar and B. M. Glover, Springer, (September) 2005.
  12. N. Dinh, M.A. Goberna, and M.A. Lopez, From linear to convex systems: Consistency, Farkas' lemma and applications, Journal of Convex Analysis, 13, No. 1, 2006, 133-133.
  13. V. Jeyakumar, Z.Y. Wu, G.M. Lee, and N. Dinh, Liberating the subgradient optimality conditions from constraint qualifications, Journal of Global Optimization, 36, 2006, 127-137.
  14. M.A. Goberna, V. Jeyakumar, and N. Dinh, Dual Characterizations of set containments with strict convex inequalities, Journal of Global Optimization, 34, 2006, 33 - 54.
  15. V. Jeyakumar, G.M. Lee, and N. Dinh, Characterization of solution sets of convex vector minimization problems, European Journal of Operational Research, 174, 2006, 1380 – 1395.
  16. N. Dinh, V. Jeyakumar, and G.M. Lee, Lagrange multiplier characterizations of solution sets of constrained pseudo-linear optimization problems, Optimization, No. 3, 55, 2006, 241 - 250.
  17. N. Dinh, M.A. Goberna, M.A. Lopez, and T.Q. Son, New Farkas type constraint qualifications in convex infinite programming, ESAIM Control, Optimisation and calculus of Variations, Vol. 13, No. 3, 2007, 580-597.
  18. N. Dinh, G. Vallet,  and T.T.A. Nghia, Farkas-type results and duality for DC programs with convex constraints, Journal of Convex Analysis, Vol. 15, No. 2, 2008, 235 – 262.
  19. N. Dinh, On qualification conditions and Farkas’ lemma: Generalization and applications. Proceeding of the Sixth Vietnam-Korea Joint Workshop, Feb. 25-29, 2008, pp. 1- 22 (Editors: V.N. Phat and D.S. Kim), Publishing House for Sciences and Technology, Hanoi, 2008.
  20. T.Q. Son, N. Dinh, Characterizations of solution sets of convex infinite problems, TOP, 16, 2008, 147 – 163.   
  21. N. Dinh, B. Mordukhovich, and T.T.A. Nghia, Qualification and optimality conditions for DC programs with infinite constraints. Acta Mathematica Vietnamica,  34(1), 2009, 123 – 153.
  22. N. Dinh,  B. Mordukhovich, and T.T.A. Nghia, Subdifferentials of value functions and optimality conditions for some classes of DC and bilevel infinite and semi-infinite programs.  Mathematical Programming, Vol. 123, Issue 1 (2010),  101-138.
  23. N. Dinh, J.-J. Strodiot, V.H., Nguyen, Duality and Optimality Conditions for Generalized Equilibrium Problems Involving DC Functions.  Journal of Global Optimization, Vol. 48, 2010, 183-208.
  24. N. Dinh, T.T.A. Nghia, and G. Vallet, A closedness condition and its applications to DC programs with convex constraints. Optimization, Vol. 59, No. 4, 2010, 541-560
  25. S.Dempe, N. Dinh, J. Dutta, Optimality conditions for a simple convex bilevel programming problem. Preprint series, Dept. Math. of International University, VNU-HCM city  2009/76 (Proceeding of ISVAO, Taiwan 2008, Springer-Verlag,  2010, to appear).
  26. N. Dinh, M.A. Goberna, and M.A. Lopez, On the stability of the feasible set in mathematical programming.   SIAM J. Optim., Vol. 20, No. 5, 2010, 2254-2280.       
  27. N. Dinh, M.A. Lopez, M. Volle, Functional inequalities in the absence of convexity and lower semicontinuity with applications to optimization. SIAM J. Optim., Vol. 20, No. 5, 2010, 2540-2559.  
  28. N. Dinh, M.A. Goberna, M.A. Lopez, M. Volle, Solving convex inequalities without constraint qualification nor closedness conditions. Set-valued and variational Analysis, Vol. 18, 2010, 423-445.
  29. N. Dinh, M.A. Goberna, M.A. Lopez, On the stability of the optimal value and the optimal set in optimization problems.  Journal of Convex Analysis 19 (2012), No. 4.
  30. G.M. Lee, G.S. Kim, N. Dinh, Optimality conditions for approximate solutions of convex semi-Infinite vector optimization problems optimality conditions for approximate solutions. In “Recent developments in vector optimization”.  Eds.: Q.H. Ansari, J.-C Yao, Springer, 2012, pp. 275-328.  

Internal reports/preprints - University’s Bulletins

1. N. Dinh, Relaxation by way of Young measures for a class of nonconvex variational problems, Bulletin of Science and Education, Hue University of Education, 9/1996, pp. 53 - 58.

2. N. Dinh, Relaxation and the existence of relaxed and chattering solutions for a class of optimal control problems without convexity assumptions. Bulletin of Science and Education, Hue University of Education, 3/1997, pp. 29 - 36.

3. N. Dinh and L.A. Tuan, Necessary and sufficient optimality conditions for locally Lipschitz programs with equality constraints, The Hue University Journal of Research, No.4, 2000, pp. 11- 17 (in Vietnamese).

4. N. Dinh and N.M. Nam, On weak stability by perturbations of an optimization problem, The Hue University Journal of Research, No. 10, 2002, pp. 21-28 (in Vietnamese).

5. V. Jeyakumar and N. Dinh, Avoiding duality gaps in convex semi-definite programming without Slater's condition, Applied Mathematics Research Report AMR04/6, 2004, School of Mathematics, University of New South Wales, Sydney, Australia (unpublished paper).

6. V. Jeyakumar, N. Dinh, and G.M. Lee, A new closed cone constraint qualification for convex optimization. Applied Mathematics Research Report AMR04/8, 2004, School of Mathematics, University of New South Wales, Sydney, Australia (unpublished paper).

7. N. Dinh, On results of Farkas type and its applications to convex optimization problems, Bulletin of Sciences, Ho Chi Minh City University of Pedagogy, 6, No. 40, 2005, 3 - 25 (in Vietnamese).

8. N. Dinh and T.T.A, Nghia, Farkas lemma for systems involving convex and DC-functions, Bulletin of Sciences, Ho Chi Minh City University of Pedagogy, 6, No. 40, 2005, 41 - 52 (in Vietnamese).

9. V. Jeyakumar, W. Song, N. Dinh, and G.M. Lee, Stable strong duality in convex optimization, Applied Mathematics Research Report AMR05/22, 2005, School of Mathematics, University of New South Wales, Sydney, Australia (unpublished paper).

10. N. Dinh and T.Q. Son, Approximate optimality conditions and duality for convex infinite programming problems. Journal of Science and Technology Development, Vietnam National University-Ho Chi Minh city, 2008.

 

Textbooks and Lecture Notes

1. Nguyen Trong Chien, Phan van Danh, Nguyen Dinh, Nguyen Hoang, and Hoang Tron, Activities in teaching mathematics in high school - Analysis (in Vietnamese, document for teachers in high school to update mathematical knowledge, period 1997 - 2000), Hue University of Pedagogy, 1999.

2. Phan Van Danh, Nguyen Dinh, Le Van Hap, Nguyen Hoang, Problems in Higher mathematics: Analysis of functions of one variable (in Vietnamese). Publishing House of Education, Hanoi, 1999.

3. N. Dinh and N. Hoang, Real Analysis (topology and theory of measures and integration) (in Vietnamese). Publishing House of Education, Hanoi, 1999.

4. N. Dinh and N. N. Hai, Theorems and Problems in Real Analysis (in Vietnamese). Publishing House of Education, Hanoi, 1999.

5. Phan Van Danh, Nguyen Dinh, Le Van Hap, Nguyen Hoang, and Le V. Ngu, Higher Mathematics II: Analysis of functions of one variable (in Vietnamese). Publishing House of Education, Hanoi, 1998.

6. N. Dinh, Modern Analysis I (in Vietnamese, Lecture for Master students), Hue University of Pedagogy, 1997.

Conference reports

1. N. Dinh (invited lecture), Generalized Lagrange multipliers for non-convex optimization. The First Korea-Japan Joint Symposium on Nonlinear Functional Analysis and Convex Analysis, Kyongju, Korea August 2-5, 2002.

2. N. Dinh, Generalized conditions and duality for nonconvex optimization problems. Conference on Operator Theory, Functional Analysis, and Finite Element Method, Bangkok, August 28, 2003.

3. N. Dinh, Sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Workshop on Optimization and Scientific Computing, Hanoi-Quangninh July 14-18, 2003.

4. N. Dinh (invited lecture) On results of Farkas type and applications. The 4th Vietnam-Korea Workshop on Mathematical Optimization Theory and Applications, HoChiMinh city, February 18-20, 2004.

5. N. Dinh, From linear to convex systems: Consistency, Farkas lemma and applications. Workshop on Optimization and Scientific Computing, Hanoi, April 20-24, 2005.

6. N. Dinh (invited lecture), Farkas-type results and constraint qualifications in convex infinite programming. The Fifth Korea-Vietnam Joint Seminar on Mathematical Optimization Theory and Applications, Busan, Korea, February 8-11, 2006.

7. N. Dinh, Approximate subdifferentials for a class of convex functions and applications. Workshop on Optimization and Scientific Computing, Bavi-Hatay, April 26-29, 2006.

8. N. Dinh, A result on the stability of a class of parametric convex optimization problems, Workshop on Optimization and Scientific Computing, Bavi-Hatay, May 16-19, 2007.

9. N. Dinh (invited lecture), On Farkas-Minkovski constraint qualification and Farkas lemma: Generalization and applications, The 6th CUD Spring School on Optimization and Applied mathematics, Ho Chi Minh city, March 4-10, 2007.

10. N. Dinh (invited lecture), Duality for generalized equilibrium problems involving DC functions, International Symposium on Nonlinear Analysis and Optimization, Pukyong National University, Pusan, Korea, Feb. 16-18, 2008.

11. N. Dinh (invited lecture), Closedness conditions and Farkas-type results: Generalizations and applications to convex and DC optimization problems, The sixth Korea-Vietnam Joint Seminar on Mathematical Optimization Theory and Applications, Nhatrang, Vietnam, February, 2008.

12. N. Dinh (invited lecture) Qualification conditions and the stability of convex optimization problems. Workshop on Optimization and Scientific Computing, Bavi, Hanoi, April 22-25, 2009.

13. N. Dinh, Qualification, optimality conditions and subdifferentials of optimal value functions for DC infinite and semi-infinite programs. European Conference on Operations Research 23rd (EURO XXIII), Bonn, July 5-9, 2009

14. N. Dinh, Optimality conditions for a simple class of bilevel optimization problem. Workshop on Optimization and Scientific Computing, Bavi-Hatay, April 20-23, 2010.

15. N. Dinh (invited lecture), Convex inequalities without constraint qualification nor closedness condition and their applications in optimization. The 8th International Spring School/Workshop on Optimization and Its Applications, March 1-3, 2010, Nhatrang Vietnam.

16. N. Dinh, Stability of optimal values and optimal sets in optimization problems.  Workshop on Optimization and Scientific Computing, Bavi-Hatay, April 20-24, 2011.

17. N. Dinh (invited talk), Some new Farkas-type results and their applications to optimization. International Conference in Mathematics and Applications, UEL, VNU-HCMC, Dec. 2011.

  Copyright 2006, Department of Mathematics - International University - HCMC