Employee Information

Prof. Altangerel, Lkhamsuren

Dean / Professor of Mathematics

209

70232089 (int. 209)

altangerel@gmit.edu.mn

Wednesdays (9:00 - 17:00), Fridays (9:00 - 4:00)

2006      Dr. rer. nat. in Mathematics, Faculty of  Mathematics, Chemnitz University of Technology, Germany

Doctoral thesis: A duality approach to gap functions for variational inequalities and equilibrium problems

1999       M.Sc. in Mathematics, School of Mathematics and Computer Science, National University of Mongolia

1997       B.Sc. in Mathematics, Faculty of Mathematics, National University of Mongolia

Since 2013          Professor of Mathematics, German-Mongolian Institute for Resources and Technology

2013                    Professor, Department of Mathematical Modeling, School of Mathematics and Computer Science, National University of Mongolia

2009 – 2013         Dean, School of Mathematics and Computer Science of Mongolian National University

2007 – 2013         Head, Department of Mathematical Modeling, National University of Mongolia

2006 – 2009         Assistant Professor, School of Mathematics and Computer Science, National University of Mongolia

2004 – 2006         Research Associate, Mathematical Institute, National University of Mongolia

2002 – 2006         Research Assistant, Faculty of Mathematics, Chemnitz University of Technology

1998 – 2000         Assistant Lecturer, School of Mathematics and Computer Science, National University of Mongolia

1997 – 1998         Lecturer, Computer Science Institute "Tsahim"

  • Convex Analysis
  • Mathematics for Economists
  • Linear and Nonlinear Programming
  • Numerical Mathematics
  • Financial Mathematics
  • Multicriteria Optimization and Conjugate Duality Theory
  • Linear Portfolio Selection Models (Student Seminar)
  • Engineering Mathematics
  • Statistics and Numerics
  • Convex Analysis
  • Duality Theory in Scalar and Multicriterial Optimization
  • Variational Inequalities and Equilibrium Problems
  • Generalized Nash Equilibrium Problems
  • Portfolio Selection and Risk Measures
  • Algorithmic developments for generalized Nash equilibrium problems with applications, financed by Asian Development Bank, Higher Education Reform Project, 2015 – 2017
  • Research and Technology Transfer Building up a Technology Transfer Centre at the National University of Mongolia, Project coordinator, DIES-Partnerships with Higher Education Institutions in Developing Countries, DAAD, Germany, 2014 – 2017
  • On Some Algorithms related to Conjugate Duality Theory, The Asia Research center in Mongolia and the Korea Foundation for Advanced Studies, Korea, 2008 – 2009
  • Estimating Financial Risk Measures and Applications, The Asia Research center in Mongolia and the Korea Foundation for Advanced Studies, Korea, 2009 – 2010

Refereed Journal Papers, Articles in Proceedings and Preprints:

L. Altangerel, G. Wanka, O. Wilfer, 2013: An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities, in: A. Chinchuluun, P.M. Pardalos, R. Enkhbat, et al., editors, 2013: , Optimization, Simulation, and Control, Springer Optimization and Its Applications 76, p. 17 – 34

L. Altangerel, G. Battur, 2012: Perturbation Approach to Generalized Nash Equilibrium Problems with shared Constraints, in: Optimization Letters 6, No. 7, p. 1379 – 1391

L. Altangerel, G. Wanka, O. Wilfer,  2011: An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 18

L. Altangerel, G. Wanka, 2010: Gap Functions for Vector Equilibrium Problems via Conjugate Duality, in: A. Chinchuluun, P.M. Pardalos, R. Enkhbat, editors, 2010: Optimization and Optimal Control, Springer Optimization and Its Applications 39, p. 185 – 197

L. Altangerel, G.Battur, 2009: An Application of Splitting Methods to Convex Partially Separable Optimization Problems, in: Mongolian Mathematical Journal 13, p. 2 – 15

L. Altangerel, R. I. Bot, G. Wanka, 2007: Conjugate Duality in Vector Optimization and some Applications to the Vector Variational Inequality, in: Journal of Mathematical Analysis and Applications 329 (2), p. 1010 – 1035

L. Altangerel, R. I. Bot, G. Wanka, 2007: On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality, in: Asia-Pacific Journal of Operational Research 24, No. 3, p. 353 – 371

L. Altangerel, R. I. Bot, G. Wanka, 2007: Variational Principles for Vector Equilibrium Problems related to Conjugate Duality, in: Journal of Nonlinear and Convex Analysis 8, No. 2, p. 179 – 196

L. Altangerel, G. Wanka, 2007: Gap Functions for Vector Equilibrium Problems via Conjugate Duality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 26

L. Altangerel, 2007: Scalarized Gap Functions for Vector Variational Inequalities via Conjugate Duality, in: Mongolian Mathematical Journal 11, p. 46 – 54

L. Altangerel, R. I. Bot, G. Wanka, 2006: Conjugate Duality in Vector Optimization and some Applications to the Vector Variational Inequality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 4

L. Altangerel, R. I. Bot, G. Wanka, 2006: Variational Principles for Vector Equilibrium Problems related to Conjugate Duality, in:  Faculty of Mathematics, Chemnitz University of Technology, Preprint 3

L. Altangerel, R. I. Bot, G. Wanka, 2006: On Gap Functions for Equilibrium Problems via Fenchel Duality, in: Pacific Journal of Optimization 2 (3), p. 667 – 678

L. Altangerel, Ch. Altannar, R. Enkhbat, 2005: A note on the Connection of Variational Unequalities with Convex and Concave Programming, in: Mongolian Mathematical Journal 9, p. 2 – 8

L. Altangerel, 2005: Some Equivalent Problems arising in Conjugate Duality for Convex Optimization, in: Mongolian Mathematical Journal 9, p. 36 – 47

L. Altangerel, R. I. Bot, G. Wanka, 2005: On the Construction of Gap Functions for Variational Inequalities via Conjugate Duality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 1

L. Altangerel, R. I. Bot, G. Wanka, 2005: On Gap Functions for Equilibrium Problems via Fenchel Duality, in: Faculty of Mathematics, Chemnitz University of Technology, Preprint 8

 Edited Books (in Mongolian):

L. Altangerel, 2011: Estimation Methods in Financial Risk.

L. Altangerel, R. Enkhbat, 2010: Mathematical Modeling for Economics and Optimal Control, Vol. 78, Mongolian Academy of Sciences, 2010L. Altangerel, R.I. Bot, G. Wanka, 2003: Duality for Convex Partially Separable Optimization Problems, in: Mongolian Mathematical Journal 7, p. 1 – 18.

L. Altangerel, T. Zhanlav, 1999: Asymptotics of Solution of Sturm-Liouville Problems, in: Scientific Journal of National University of Mongolia, Vol.3 (154), p. 32 – 46.

Translated books:

R.D. Precht: Wer bin ich - und wenn ja, wie viele?, translated with ”MIND” club from German into Mongolian, 2013.

B. Luderer: Starthilfe Finanzmathematik, translated with B. Bolormaa from German into Mongolian, 2009.

B. Luderer, V. Nollau, K. Vetters, 2005: Mathematical Formulas for Economists, translated with R. Enkhbat from English into Mongolian, 2008.

Conference and Seminar talks:

L. Altangerel: An extension of the one period model in non-life insurance markets, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 18, 2017

L. Altangerel: Gap function approach for generalized Nash equilibrium problems, in: ICOTA-10, Ulaanbaatar, July 23-26, 2016

L. Altangerel: Gap function approach for generalized Nash equilibrium problems via duality in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 27, 2016

L. Altangerel: Invited talk: Weak sharp minima in optimization problems and variational inequalities, in: the 3rd Russian-Mongolian conference for young scientists on mathematical modelling, computing technologies and control, June 23-30, 2015, Irkutsk (Russia)-Khankh (Mongolia)

L. Altangerel: Invited talk: Gap functions for variational inequalities based on conjugate duality, in: the 3rd Russian-Mongolian conference for young scientists on mathematical modelling, computing technologies and control, June 23-30, 2015, Irkutsk (Russia)-Khankh (Mongolia)

L. Altangerel: Penalty function approach and conjugate duality for Generalized Nash Equilibrium Problems, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, May 7, 2014

L. Altangerel: Weak sharp minima in optimization problems and variational inequalities, in: Annual Conference on Mathematics and Computer Science, Ulaanbaatar, March 22, 2013

L. Altangerel: Weak sharp minima in optimization problems and variational inequalities, in: The 4th International Conference on Optimization, Simulation and Control in Ulaanbaatar, Mongolia, July 1 – 4, 2013

L. Altangerel: Generalized Nash equilibrium problems and conjugate duality, Seminar at CIMPA-UNESCO-SCHOOL INDIA, Generalized Nash Equilibrium Problems, Bilevel programming and MPEC New Delhi, November 25 – December 6, 2013

L. Altangerel: An application of the oriented distance function to vector variational inequalities, in: Annual Conference on Mathematics and Computer Science, Ulaanbaatar, March 23, 2012

L. Altangerel: Generalized Nash equilibrium problems with shared constraints and conjugate duality, in: Research Seminar Mathematical Programming, Humboldt University of Berlin, Germany, November 21, 2012

L. Altangerel: Generalized Nash equilibrium problems and conjugate duality, in: Research Seminar Mathematics, Brandenburg University of Technology Cottbus, Germany, November 30, 2012

L. Altangerel: Remarks on weak sharpness for gap functions in scalar and vector variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, December 5, 2012

L. Altangerel: Generalized Nash equilibrium problems and conjugate duality, in: Russian-Mongolian Conference on Mathematical Modeling, Information Technology and Control of Young Scientists in Khanh, Mongolia, June 17 - 21, 2011.

L. Altangerel: An application of the oriented distance function to vector variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 6, 2010

L. Altangerel: An oriented distance function application to gap functions for vector variational inequalities, in: The International Conference on Optimization, Simulation and Control in Ulaanbaatar, Mongolia, July 25 – 28, 2010

L. Altangerel: On some results of conjugate duality in vector optimization, in: V. International Symposium ”Generalized Statements and Solutions of Control Problems” in Ulaanbaatar, Mongolia, September 13 – 17, 2010

L. Altangerel: Perturbation approach to generalized Nash equilibrium problems, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, November 11, 2009

L. Altangerel: Variational principles for vector equilibrium problems via conjugate duality, in: The Second International Conference on Nonlinear Programming with Applications, Beijing, China, April 7 – 9, 2008

L. Altangerel: Scalarized gap functions for vector variational inequalities via conjugate duality, in: International Symposium ”Generalized Solutions in Control Problems”, Ulan-Ude/Lake Baikal, Russia, June 23 – 28, 2008

L. Altangerel: Gap functions for vector equlibrium problems via conjugate duality, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, June 13, 2007

L. Altangerel: Conjugate duality in vector optimization and some applications to the vector variational inequality, in: The Second International Conference on Optimization and Optimal Control in Ulaanbaatar, Mongolia, July 17 – 20, 2007

L. Altangerel: A duality approach to gap functions for variational inequalities and equilibrium problems, in: Defence of the Ph.D. thesis, Chemnitz University of Technology, Germany, July 25, 2006

L. Altangerel: Conjugate duality in vector optimization and its applications to vector variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, January 26, 2005

L. Altangerel: Variational principles for vector equilibrium problems related to the conjugate duality, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, May 11, 2005

L. Altangerel: On gap functions for equilibrium problems, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, November 9, 2005

L. Altangerel: On gap functions for equilibrium problems, in: The Workshop of the Ph.D. Students in Optimization, Freiberg, Germany, November 30, 2005

L. Altangerel: On relations between the conjugate duality and gap functions for variational inequalities, in: Research Seminar Optimization and Approximation, Chemnitz University of Technology, Germany, November 10, 2004