Tamás Rapcsák  1947-2008

D. Sci., Prof. dr. Habil
Adviser in Science, Head of Laboratory and Department

Computer and Automation Research Institute, Hungarian Academy of Sciences
Laboratory and Department of Operations Research and Decision Systems
 
 
Downloadable publications:
Books:
  1. Nonlinear optimization, Aula Kiadó, Budapest, 2006. (in Hungarian)
  2. Special Issue in European Journal of Operational Research, eds.: T. Illés, T. Rapcsák and T. Terlaky 143 (2) (2002).
  3. Lectures delivered at Assembly Meeting 2000, Millennium at the Academy, Operations Research,
    eds.:A Prékopa and T. Rapcsák, Hungarian Academy of Sciences (2001).
  4. Optimization theory, Recent developments from Mátraháza, eds.: F. Giannessi, P. Pardalos and T. Rapcsák, Kluwer Academic Publishers (2001). (278 p) 
  5. Special Issue in Central European Operations Research, eds.: T. Csendes and T. Rapcsák 8 (1) 2000. 
  6. New trends in mathematical programming, eds.: F. Giannessi, S. Komlósi and T. Rapcsák, Kluwer Academic Publishers (1998). (314 p)
  7. Smooth nonlinear optimization in Rn, Kluwer Academic Publishers (1997). (374 p)
  8. Biodiversity monitoring in Hungary, I. Informatics foundation, eds.: F. Horváth, T. Rapcsák and G. Szilágyi, Hungarian Natural History Museum, 1997. (164 p) (in Hungarian)
  9. Generalized convexity, eds.: S. Komlósi, T. Rapcsák and S. Schaible, Lecture Notes in Economics and Mathematical Systems 405, Proceedings, Pécs, Hungary, 1992, Springer-Verlag, Berlin, Heidelberg, New York (1994). (404 p) 
Publications:
  1. On Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices, Journal of Global Optimization 42 (2008) 157-175. (joint publication with S. Bozóki)
  2. Some results on peseudolinear quadratic fractional functions, Central European Journal of Operations Research 16 (2008) 415-424. (joint publication with M. Ujvári)
  3. Sectional curvatures in nonlinear optimization, Journal of Global Optimization. (in print)
  4. On pseudolinearity of quadratic fractional functions, Optimization Letters 1 (2007) 193-200.
  5. Review on Béla Martos' activity in the field of optimization theory - on the occasion of his being awarded Egerváry commemorative plaque, Alkalmazott Matematikai Lapok 23 (2006) 1-4. (in Hungarian)
  6. Integrability of pseudomonotone differentiable maps and the revealed preference problem, Journal of Convex Analysis 12 (2) (2005) 431-446. (joint publication with J-P. Crouzeix)
  7. Fenchel problem of level sets, Journal of Optimization Theory and Applications 127 (2005) 177-191.
  8. Local convexity on smooth manifolds, Journal of Optimization Theory and Applications 127 (2005) 165-176.
  9. Survey on the Fenchel problem of level sets, in: Variational analysis and applications, eds.: F. Giannessi and A. Maugeri, Springer (2005) 935-950.
  10. Air pollution modelling in action, in: Proceedings of the NATO ARW held in Borovetz, eds.: I. Faragó et al., Springer, Advances in Air Pollution Modeling for Environmental Security, Nato Science Series: IV: Earth and Environmental Sciences 54 (2005) 11-12. (joint publication with K. Balla and S. Márton)
  11. Air pollution transmissions - case-studies, Central European Journal of Operations Research 13 (2005) 271-287. (joint publication with S. Márton)
  12. Evaluation of tenders for developing the economy, Central European Journal of Operations Research 13 (2005) 299-317. (joint publication with S.Z. Németh and J. Temesi)
  13. A remark on: Rudolf Vetschera, Strict preference and sensitivity analysis in additive utility functions with interval data, Central European Journal of Operations Research 13 (2005) 209-210.
    (joint publication with Cs. Mészáros)
  14. Global optimization on Stiefel manifolds - an interesting result of discretization, Alkalmazott Matematiai Lapok 22 (2005) 163-176. (joint publication with J. Balogh and T. Csendes)
  15. Some global optimization problems on Stiefeld manifolds, Journal of Global Optimization 30 (2004) 91-101.
    (joint publication with J. Balogh and T. Csendes)
  16. Some optimization problems in statistics, Journal of Global Optimization 28 (2004) 217-228.
  17. Singular value decomposition in AHP, European Journal of Operational Research 154 (3) (2004) 573-584.
    (joint publication with S.I. Gass)
  18. Mechanical equilibrium and equilibrium systems, in: Equilibrium problems and variational models, eds.: P. Daniele, F. Giannessi and A. Maugeri, Kluwer Academic Publishers (2003) 379-399.
  19. On minimization on Stiefel manifolds, European Journal of Operational Research 143 (2002) 365-376.
  20. Pollution of underground water - a computational case-study by using a transport model, Journal of Hydroinformatics 4 (2002) 255-264. (joint publication with K. Balla and G. Kéri)
  21. IPM 2000. Continuous optimization, European Journal of Operational Research143 (2002) 231-233.
    (joint publication with T. Illés and T. Terlaky)
  22. Path of life and scientific activity of Jenő Egerváry, Szigma 1-2 (2002) 1-12. (in Hungarian)
  23. Modelling efficiency of economic development tenders, Szigma, Corvinus University of Budapest 32 (1-2) (2001) 13-28. (joint publication with S.Z. Németh and J. Temesi) (in Hungarian)
  24. On minimization on Stiefel manifolds, in: Lectures delivered at the Assembly Meeting 2000, Millennium at the Academy, Hungarian Academy of Sciences (2001) 525-537. (in Hungarian)
  25. Smooth nonlinear nonconvex optimization, in: Encyclopedia of Optimization, eds.: C.A. Floudas and P.M. Pardalos, Kluwer Academic Publishers 5 (2001) 234-237.
  26. Convexification of functions by nonlinear coordinate transformations, in: Optimization Theory,
    eds.: F. Giannessi, P. Pardalos and T. Rapcsák, Kluwer Academic Publishers (2001) 179-189.
  27. On minimization of sums of heterogeneous quadratic function on Stiefel manifolds, in: From local to global optimization, eds.: A. Migdalas, P. Pardalos and P. Varbrand, Kluwer Academic Publishers (2001) 277-290.
  28. Statistical characterization of the hidrological data of the Tápió brook, Hidrológiai Közlöny 2 (2001) 73-84.
    (joint publication with I. Zsuffa) (in Hungarian)
  29. The possible effect of a turbine testing plant on the quality of the air, in: A case study for air pollution transmission, ERCIM News 46 (2001) 72-73. (joint publication with S. Márton)
  30. Evaluation of tenders in information technology, Decision Support Systems 30 (2000) 1-10.
    (joint publication with Z. Sági, T. Tóth and L. Kétszeri)
  31. On convex generalized systems, Journal of Optimization Theory and Applications 104 (2000) 605-627.
    (joint publication with G. Mastroeni)
  32. Global Lagrange multiplier rule and smooth exact penalty functions for equality constraints, in: Nonlinear optimization and related topics, eds.: G. Di Pillo and F. Giannessi, Kluwer Academic Publishers (2000) 351-368.
  33. On vector complementarity systems and vector variational inequalities, in: Vector variational inequalities and vector equilibria, Mathematical theories, ed.: F. Giannessi, Kluwer Academic Publishers (2000) 371-380.
  34. Modelling and computing of the possible soil pollution in the area of Nagykáta, Alkalmazott Matematikai Lapok, 20 (2000) 61-73. (joint publication with G. Kéri) (in Hungarian)
  35. Pollution transmission in the air, in: "Large-scale computations in air pollution modelling" eds.: Z. Zlatev et al., NATO Science Series, Kluwer Academic Publishers (1999) 235-247. (joint publication with Cs. Mészáros and Z. Sági)
  36. Multiattribute desicion making for analysing the water quality of the Danube branch at Ráckeve-Soroksár, Szigma 4 (1999) 135-159. (joint publication with K. Balla, G. Kéri, E. Németh, Z. Sági, T. Tóth and Z. Verrasztó) (in Hungarian)
  37. Application of a transport model to examine the possible soil pollution of a waste-material depository (A case-study), Alkalmazott Matematikai Lapok 19 (1999) 169-183.
    (joint publication with G. Kéri and I. Orsovai) (in Hungarian)
  38. Mechanical equilibrium and equilibrium systems, in: New trends of operations research in Hungary; In memoriam Farkas Gyula, eds.: S. Komlósi and T. Szántai, Dialóg Campus Publishers (1999) 32-42. (in Hungarian)
  39. A note on synthesizing group decisions, Decision Support Systems 22 (1998) 59-63.
    (joint publication with S.I. Gass)
  40. On tender evaluations, Journal of Decision Systems 7 (1998) 179-194.
    (joint publication with P. Csáki, F. Fölsz and Z. Sági)
  41. Variable metric methods along geodesics, in: New trends in mathematical programming, eds.: F. Giannessi, S. Komlósi and T. Rapcsák, Kluwer Academic Publishers (1998) 257-275.
  42. On a relation between problems of calculus of variations and mathematical programming, in Proceedings of the 3rd GAMM-IFIP Workshop in: "Stochastic Optimization" ed.: K. Marti, Springer-Verlag (1998) 238-248.
    (joint publication with A. Vásárhelyi)
  43. An unsolved problem of Fenchel, Journal of Global Optimization 11 (1997) 207-217.
  44. Geodesic convexity on R+n, Optimization 37 (1996) 341-355.
  45. A class of polynomial variable metric algorithms for linear programming, Mathematical Programming 74 (1996) 319-331. (joint publication with T.T. Thang)
  46. On sensitivity analysis for a class of decision systems, Decision Support Systems 16 (1996) 231-240.
    (joint publication with Cs. Mészáros)
  47. Transport optimization of gas-cylinders, Zeitschrift für Angewandte Mathematik und Mechanik 46 (1996) 425-426 (joint publication with F. Fölsz and Cs. Mészáros)
  48. TERMET meta-database on monitoring projects: a tool for managing biodiversity monitoring and overviewing the results, in: Proceedings of  "Research, Conservation, Management" Conference, Aggtelek, Hungary, 1-5 May, 1996, eds.: E. Tóth and F. Horváth, Aggtelek National Directorate (1997) 131-137
    (joint publication with F. Horváth and F. Fölsz)
  49. Tensor approximations of smooth nonlinear complementarity systems, in: Variational inequalities and network equilibrium problems, eds: F. Giannessi and A. Maugeri, Plenum Press (1995) 235-249.
  50. Images, separation of sets and extremum problems, in: Recent trends in optimization theory and applications, World Scientific Publishing Company (1995) 79-106. (joint publication with F. Giannessi)
  51. On nonlinear coordinate representations of smooth optimization problems, Journal of Optimization Theory and Applications 86 (1995) 459-489. (joint publication with T.T. Thang)
  52. Distribution of gas cylinders, European Journal of Operational Research 87 (1995) 613-623.
    (joint publication with F. Fölsz and Cs. Mészáros)
  53. On the practice of OR in Hungary, European Journal of Operational Research 87 (1995) 452-455. (joint publication with Zs. Harnos, S. Komlósi and T. Szántai)
  54. A flexible framework for group decision support: WINGDSS Version 3.0, Proceedings of the 2nd APMOD, Annals of Operations Research 58 (1995) 441-453
    (joint publication with P. Csáki, L. Csiszár, F. Fölsz, K. Keller, G. Lóránt, Cs. Mészáros and P. Turchányi)
  55. Research and development for group decision aid in Hungary by WINGDSS, a Microsoft Windows based group decision support system, Decision Support Systems 14 (1995) 205-217.
    (joint publication with P. Csáki, P. Turchányi and M. Vermes)
  56. Visualization in the decision support system WINGDSS 4.0, Proceedings of KOI'95, the 5th Conference on Operational Research, eds.: T. Hunjak, L. Martic and L. Neralic, Croation Operational Research Society (1995) 1-32. (joint publication with P. Csáki, F. Fölsz, K. Keller, L. Lóránt, Cs. Mészáros and Á. Tóth)
  57. Transport optimization from filling stations to sales points, Proceedings of IV. National Conference on GIS, ed.: S. Pethő, (1995) 126-131. (joint publication with F. Fölsz and Cs. Mészáros) (in Hungarian)
  58. Group decision support on PC-s in Microsoft Windows environment for managers, Szigma 4 (1994) 169-190. (joint publication with P. Csáki, L. Csiszár, F. Fölsz, K. Keller, Cs. Mészáros and P. Turchányi) (in Hungarian)
  59. On the connectedness of the solution set to nonlinear complementarity systems, Journal of Optimization Theory and Applications 80 (1994) 619-631.
  60. On the connectedness of the solution set to linear complementarity systems, Journal of Optimization Theory and Applications 80 (1994) 501-512.
  61. Geodesic convexity on Rn, in: Generalized convexity, eds.: S. Komlósi, T. Rapcsák and S. Schaible, Lecture Notes in Economics and Mathematical Systems 405, Proceedings, Pécs, Hungary, 1992, Springer-Verlag, Berlin, Heidelberg, New York (1994) 91-103.
  62. WINGDSS, a group decision support system under MS Windows, in: Proceedings of the 32nd Annual Symposium of AGIFORS, 4-9 October, 1992, Budapest, Hungary (1993) 319-327.
    (joint publication with P. Csáki, P. Turchányi and M. Vermes)
  63. Nonlinear coordinate transformations for unconstrained optimization, II. Theoretical background, Journal of Global Optimization 3 (1993) 359-375. (joint publication with T. Csendes)
  64. Nonlinear coordinate transformations for unconstrained optimization, I. Basic transformations, Journal of Global Optimization, 3 (1993) 213-221. (joint publication with T. Csendes)
  65. A flexible framework for group decision support: WINGDSS Version 3.0, in: Symposium on Applied Mathematical Programming and Modeling, APMOD93, Volume of Extended Abstracts, ed.: I. Maros, Akaprint, Budapest (1993) 102-109. (joint publication with P. Csáki, L. Csiszár, F. Fölsz, K. Keller, Cs. Mészáros and P. Turchányi)
  66. A decision model for appraisal of hotels, in: Proceedings of the Third Conference on Artificial Intelligence, ed.: P. Koch, John von Neumann Society for Computer Sciences, Budapest (1993) 69-78. (joint publication with P. Csáki, L. Csiszár, F. Fölsz, K. Keller, Cs. Mészáros and P. Turchányi)
  67. On expert systems in mathematical programming, Alkalmazott Matematikai Lapok 16 (1992) 217-278. (joint publication with M. Biró J. Mayer and M. Vermes) (in Hungarian)
  68. Geodesic convexity in nonlinear programming, Journal of Optimization Theory and Applications 69 (1991) 169-183.
  69. On pseudolinear functions, European Journal of Operational Research 50 (1991) 353-360.
  70. On building mathematical programming expert systems, in: Proceedings of the Second Conference on Artificial Intelligence, eds.: I. Fekete and P. Koch, John von Neumann Society for Computer Sciences, Budapest 1 (1991) 155-163. (joint publication with M. Biró J. Mayer and M. Vermes)
  71. On weighting of publications, Magyar Tudomány 11 (1991) 1248-1253.
    (joint publication with J. Lehel) (in Hungarian)
  72. On the connection between mechanical force equilibrium and nonlinear programming, Zeitschrift für Angewandte Mathematik und Mechanik 70 (1990) 557-564. (joint publication with J. Szenthe)
  73. On separable product functions, Optimization 21 (1990) 831-41. (joint publication with P. Borzsák)
  74. Tensor optimization, MTA SZTAKI Report 34 (1990) 1-10.
  75. Minimum problems on differentiable manifolds, Optimization 20 (1989) 3-13.
  76. On geodesic convex programming problems, in: Proceedings of the Conference on Differential Geometry and its Applications, June 26-July 3, 1988, Dubrovnik, Yugoslavia, Novi Sad (1989) 315-322.
  77. On generalization of convex programming, Alkalmazott Matematikai Lapok 3-4 (1989) 449-459. (in Hungarian)
  78. Flexible software system DAIDALOS for manufacturing at IKARUS BUSZ I., in: Proceedings of the IV. National Conference of John von Neumann Society for Computer Sciences, John von Neumann Society for Computer Sciences, Budapest (1989) 37-43. (joint publication with L. Helm and A. Tóth) (in Hungarian)
  79. Computer aided design and manufacturing at the IKARUS Works, Ipari Szemle 4 (1988) 8083.
    (joint publication with L. Helm) (in Hungarian)
  80. On the development of operations research and its status in Hungary, Magyar Tudomány 4 (1988) 259-265. (in Hungarian)
  81. On geodesically convex functions, Seminarbericht Nr. 90, Berlin (1987) 98-107.
  82. Arcwise-convex functions on surfaces, Publicationes Mathematicae 34 (1987) 35-41.
  83. Mechanical force equilibrium and nonlinear programming, Alkalmazott Matematikai Lapok 12 (1986) 161-174. (joint publication with J. Szenthe) (in Hungarian)
  84. Convex programming on Riemannian manifolds, in: Proceedings of the 12th IFIP Conference,
    eds.: A. Prékopa, J. Szelezsán and B. Strazicky, Springer-Verlag, Berlin (1986) 733-741.
  85. On concavity domain of product functions, Alkalmazott Matematikai Lapok 11 (1985) 311-318. (joint publication with P. Borzsák) (in Hungarian)
  86. Optimal design of drain-pipe systems, Hidrológiai Közlöny 2 (1985) 119-124.
    (joint publication with T. Szijjártó) (in Hungarian)
  87. On arcwise-convexity, Alkalmazott Matematikai Lapok 10 (1984) 115-123. (in Hungarian)
  88. The optimal power transmission of buses in case of a mechanical speed gear, Advances in Management Studies 2 (1983) 1-22.
  89. Remark on minimization under equalities, Alkalmazott Matematikai Lapok 9 (1983) 387-391. (in Hungarian)
  90. Differential geometrical analysis of optimality conditions in nonlinear programming, Alkalmazott Matematikai Lapok 9 (1983) 73-84. (in Hungarian)
  91. On the differential geometrical aspects of nonlinear programming, Candidate of Sciences Dissertation, Hungarian Academy of Sciences, Budapest, 1983. (in Hungarian)
  92. A linear programming model for the optimal levelling of an irrigation surface, European Journal of Operational Research 13 (1983) 369-373.
  93. On the second-order suffciency conditions, Journal of Information and Optimization Sciences 4 (1983) 183-191.
  94. Global minimum weight optimization of trusses with a decomposition method, Zeitschrift für Angewandte Mathematik und Mechanik 63 (1983) 418-419.
  95. Optimal design of trusses with a decomposition method, Alkalmazott Matematikai Lapok 8 (1982) 237-245. (in Hungarian)
  96. Application of linear programming for the optimal levelling of an irrigation surface, Alkalmazott Matematikai Lapok 7 (1981) 99-105. (in Hungarian)
  97. Design of the statically indeterminate optimal trusses, in: Survey of Mathematical Programming,
    ed.: A. Prékopa, Akadémiai Kiadó 3 (1979) 169-179. (joint publication with E. Halmos)
  98. A new method for serially linked reservoir system design using stochastic programming, in: Studies in application of stochastic programming, ed.: A. Prékopa, MTA SZTAKI Tanulmányok 80 (1978) 75-99. (joint publication with A. Prékopa and I. Zsuffa)
  99. On optimal power transmission of buses in case of mechanical speed gear, Alkalmazott Matematikai Lapok 4 (1978) 229-243. (in Hungarian)
  100. On second-order optimality conditions, Alkalmazott Matematikai Lapok 4 (1978) 109-116. (in Hungarian)
  101. Minimum weight design of the statically indeterminate trusses, Mathematical Programming Study 9 (1978) 109-119. (joint publication with E. Halmos)
  102. Serially linked reservoir system design using stochastic programming, Water Resources Research 14 (1978) 672-678. (joint publication with A. Prékopa and I. Zsuffa)
  103. Application of SUMT method for logconcave functions, MTA SZTAKI Közlemények 19 (1978) 17-29. (in Hungarian)
  104. On minimum weight of statically indeterminate trusses, Alkalmazott Matematikai Lapok 3 (1977) 171-183. (joint publication with E. Halmos) (in Hungarian)
  105. On minimum weight design of statically indeterminate structures, Járművek, Mezőgazdasági Gépek 24 (1977) 361-364. (joint publication with E. Halmos) (in Hungarian)
  106. Some aspects of the minimum weight design of frameworks, Publications of KTMFT 1 (1977) 63-72. (joint publication with E. Halmos) (in Hungarian)
  107. Application of SUMT method for nonconvex programming problems, Alkalmazott Matematikai Lapok 2 (1976) 427-437. (in Hungarian)
  108. A new method for the design of serially linked reservoir systems, Alkalmazott Matematikai Lapok 2 (1976) 189-201. (joint publication with A. Prékopa and I. Zsuffa) (in Hungarian)
  109. Exterior point method for convex nonlinear programming problems, Alkalmazott Matematikai Lapok 1 (1975) 357-364. (in Hungarian)
  110. Remark on logconcave functions, MTA SZTAKI Közlemények 14 (1975) 25-29. (in Hungarian)
  111. Algorithmical and numerical solution of a reservoir model, Ph.D. Dissertation, Lajos Kossuth University of Sciences, Debrecen, 1974. (in Hungarian)

webmaster: Sándor Márton