PAPERS:

• Mádi-Nagy, G. and A. Prékopa (2015). Bivariate Bonferroni-type inequalities based on multivariate Lagrange interpolation. Studia Scientiarum Mathematicarum Hungarica 52 (1), 21-39

click here to see the paper

• Füzi, Á. and G. Mádi-Nagy (2014). Flow-based Capacity Allocation in the CEE Electricity Market: Sensitivity Analysis, Multiple Optima, Total Revenue. Social and Management Sciences 22 (2)

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• Füzi Á. és Mádi-Nagy, G. (2013). Villamosenergia beszerzést támogató modellek (Electricity purchasing strategy tools: models and software with English abstract). Szigma XLIII. (1-2), 15-41.

click here to see the paper (pdf)

• Bukszár, J., G. Mádi-Nagy and T. Szántai (2012). Computing bounds for the probability of the union of events by different methods. Annals of Operations Research 201 (1), pp 63-81.

(Impact factor: 0.840)

click here to see the preprint of paper (pdf)

link to the published paper

• Bernáth, A., T. Király, E. R. Kovács, G. Mádi-Nagy, G. Pap, J. Pap, J. Szabó and L. Végh (2012). Algorithms for multiplayer multicommodity flow. Central European Journal of Operations Research, Online First. DOI: 10.1007/s10100-012-0255-6

(Impact factor: 0.484)

click here to see the preprint of paper (pdf)

link to the published paper

• Mádi-Nagy, G. (2012). Polynomial bases on the numerical solution of the multivariate discrete moment problem. Annals of Operations Research 200 (1), pp 75-92.

(Impact factor: 0.840)

click here to see the preprint of paper (pdf)

link to the published paper

• Mádi-Nagy, G. and A. Prékopa (2011). Bounding Expectations of Functions of Random Vectors with Given Marginals and some Moments: Applications of the Multivariate Discrete Moment Problem. Mathematical Inequalities and Applications 14 (1), pp. 101-122.

(Impact factor: 0.493)

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• Mádi-Nagy, G. (2010). Application of the Solution of the Univariate Discrete Moment Problem for the Multivariate Case. Studia Scientiarum Mathematicarum Hungarica 47 (4), pp. 485-504.

(Impact factor: 0.280)

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• Mádi-Nagy, G. (2008). On Multivariate Discrete Moment Problems: Generalization of the Bivariate Min Algorithm for Higher Dimensions. SIAM Journal on Optimization 19 (4), pp. 1781-1806.

(Impact factor: 1.554)

click here to see the paper (pdf)

The algorithm of the paper has already been implemented in C++. The source code and binary files (windows/linux) can be found here.

• Prékopa, A. and G. Mádi-Nagy (2008). A Class of Multiattribute Utility Functions. Economic Theory 34 (3) , pp. 591-602.

(Impact factor: 0.755)

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• Mádi-Nagy, G. (2005). A method to find the best bounds in a multivariate discrete moment problem if the basis structure is given. Studia Scientiarum Mathematicarum Hungarica 42 (2), pp. 207 - 226.

(Impact factor: 0.254)

click here to see the paper (pdf)

The algorithm of the paper has already been implemented in C++. The source code and binary files (windows/linux) can be found here.

• Mádi-Nagy, G. and A. Prékopa (2004).On Multivariate Discrete Moment Problems and their Applications to Bounding Expectations and Probabilities. Mathematics of Operations Research 29(2), pp. 229-258.

(Impact factor: 1.044)

click here to see the paper (pdf)

The algorithm of the paper has already been implemented in C++. The source code and binary files (windows/linux) can be found here.

• Mádi-Nagy G. és Prékopa A. (2004). Egy többváltozós hasznossági függvény (.pdf). (A Mulitivariate Utility Function, with english abstract) Alkalmazott Matematikai Lapok 21, 23-34.

• Nagy G. és Prékopa A. (2000). Többváltozós diszkrét függvények féloldalas approximációja polinomokkal (.pdf). (One-sided Approximation of Multivariate Discrete Functions by Polynomials, with english abstract) Alkalmazott Matematikai Lapok 20, 195-215.

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THESES:

• Mádi-Nagy G. (2002) Többváltozós diszkrét momentum problémák (.pdf) (Multivariate Discrete Moment Problems, in Hungarian), Ph.D. Dissertation, Eötvös University, Budapest, Hungary. English summary (.pdf)
• Mádi-Nagy G. (1997) Kvadratikus programozás alkalmazása a portfólió problémára (.pdf) (Application of Quadratic Programming for the Portfolio Problem, in Hungarian), M.Sc. Degree Thesis, Eötvös University, Budapest, Hungary.

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RESEARCH REPORTS, CONFERENCE PROCEEDINGS:

• Varga, L. and G. Mádi-Nagy (2013). Joint Operation for Mitigating the Power Variability in Balance Circles included Wind and Cogeneration Units using Heat Storage Tank (.pdf). (WIW13-1042) 12th Wind Integration Workshop, 22-24 October, 2013, London, UK.
• Mádi-Nagy G. and Z-Cs. Nagy (2013). Sharp Bounds of the Multivariate Discrete Moment Problem: Approximations of CDF Values and Reliability Levels (.pdf) RUTCOR Research Report 6-2013.
• Füzi, Á. and G. Mádi-Nagy (2012). Flow-based Capacity Allocation in the CEE Region: Sensitivity Analysis, Multiple Optima, Real Income (.pdf) RUTCOR Research Report 8-2012.
• Bukszár, J., G. Mádi-Nagy and T. Szántai (2011). Computing Bounds for the Probability of Union of Events by Different Methods (.pdf) RUTCOR Research Report 10-2011.
• Mádi-Nagy, G. (2010). Empirical Analysis of Polynomial Bases on the Numerical Solution of the Multivariate Discrete Moment Problem (.pdf) RUTCOR Research Report 8-2010.
• Mádi-Nagy, G. (2009). Az események uniójának valószínűsége – becslés a többváltozós diszkrét momentum probléma segítségével (in Hungarian) ÁVF Tudományos Közlemények 22, pp. 147-154.
• Mádi-Nagy, G. and A. Prékopa (2009). Method of Multivariate Lagrange Interpolation for Generating Bivariate Bonferroni-Type Inequalities (.pdf) RUTCOR Research Report 10-2009.
• Mádi-Nagy, G. (2008). Application of the solution of the univariate discrete moment problem for the multivariate case (.pdf). RUTCOR Research Report 9-2008.
• Mádi-Nagy, G. (2007). On Multivariate Discrete Moment Problems: Generalization of the Bivariate Min Algorithm for Higher Dimensions (.ps). RUTCOR Research Report 13-2007.
• Mádi-Nagy, G. and A. Prékopa (2007). Bounding Expectations of Functions of Random Vectors with Given Marginals and some Moments: Applications of the Multivariate Discrete Moment Problem (.ps). RUTCOR Research Report 11-2007.
• Mádi-Nagy, G. (2003). Decomposition Method for Bounding Multivariate Discrete Moment Problems (.ps). RUTCOR Research Report 4-2003.
• Nagy, G. and S. Romagnoli, Z. Varga, L. Venzi (2002). Le condizioni di ottimalitá per la determinazione delle di pesce (.pdf). XXXIX Convegno annuale della SIDEA, Societé Italiana di Economia Agraria, Firenze 12-14 settembre 2002, Conference proceedings, to appear.
• Nagy, G. and A. Prékopa (2000). On Multivariate Discrete Moment Problems and their Applications to Bounding Expectations and Probabilities (.ps). RUTCOR Research Report 41-2000.

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CONFERENCE TALKS:

• Mádi-Nagy G és Nagy Z-Cs. Többváltozós eloszlásfüggvények becslése momentumokon alapuló éles korlátokkal, XXX. Magyar Operációkutatási Konferencia, Balatonõszöd, 2013. június 10-13.
• Mádi-Nagy G. Optimalizálási problémák a liberalizált energiapiacon, XIX. Magyar Operációkutatási Konferencia, Balatonõszöd, 2011. szeptember 28-30.
• G. Mádi-Nagy. Polynomial bases on the numerical solution of the multivariate discrete moment, Bolyai 150, János Bolyai Memorial Conference, Budapest-Marosvásárhely/Targu Mures, August 30-September 4, 2010.
• Mádi-Nagy G. és Prékopa A. Többváltozós Bonferroni-típusú korlátok generálása, XXVIII. Magyar Operációkutatási Konferencia, Balatonõszöd, 2009. június 8-10.
• G. Mádi-Nagy. Bounds on the Probability of the Union of Events by the Use of the Binomial MDMP, VOCAL 2008, December 15 - 17, 2008, Veszprém, Hungary
• A. Prékopa and G. Mádi-Nagy Bounding Expectations of Functions of Random Vectors with Given Marginals and some Moments: Applications of the Multivariate Discrete Moment Problem, 11th Conference on Stochastic Programming, August 27 - 31, 2007, Vienna, Austria
• G. Mádi-Nagy. On Multivariate Discrete Moment Problems: New Bounds on Probabilities, 22^nd European Conference of Operational Research, July 8 - 11, 2007, Prague, Czech Republic (invited speaker)
• Mádi-Nagy G. és Prékopa A. Valószínuségi vektorváltozók függvényei várható értékének becslése a peremeloszlások és néhány vegyes momentum ismeretében: a többváltozós diszkrét momentum probléma alkalmazásai XXVII. Magyar Operációkutatási Konferencia, Balatonõszöd, 2007. június 7-9.
• A. Prékopa and G. Mádi-Nagy A Class of Multivariate Strong Utility Functions, 17th EURO Mini Conference: Continuous Optimization in Industry, June 29 - July 1, 2005, Pécs, Hungary
• Mádi-Nagy G. Az egyváltozós diszkrét momentum probléma módszereinek alkalmazása a többváltozós esetre, XXVI. Operációkutatási Konferencia, Gyõr, Széchenyi István Egyetem, 2004. május 26-28.
• G. Mádi-Nagy. Multivariate Lagrange Interpolation and its Application for Bounding Multivariate Discrete Moment Problems, Operations Research 2003, International Conference on Operations Research, University of Heidelberg, Germany, September 3-5, 2003
• G. Nagy. Decomposition Method for Bounding Expectations of Multivariate Higher Order Convex Functions of Discrete Random Variables Based on Moment Information, Operations Research 2002, International Conference on Operations Research, University of Klagenfurt, Austria, September 2-5, 2002
• A. Prékopa and G. Nagy. Bounding expectations of multivariate higher order convex functions of discrete random variables based on moment information, 17^th European Conference of Operational Research, Budapest, Hungary, July 16-19, 2000

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TEXTBOOKS:

• Mádi-Nagy, G. Mathematics in Economics I. (textbook), Tomori Pál College, Kalocsa, Hungary, to appear.
• Mádi-Nagy G. Gazdasági matematika I. (főiskolai jegyzet), Tomori Pál Főiskola, Kalocsa, 2005.