Alexandru Németh

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Alexandru Nemeth, fost membru al Institutului de Calcul, intre 1960-1990.

Membru remarcant al Scolii de Analiza Numerica si Teoria Aproximarii.

Membru extern al Academiei Ungare de Stiinte.

Născut la Cluj, 31 decembrie, 1938.

Studii:

Gimnaziu ṣi liceu: din 1950, la Liceul Mixt Maghiar, ulterior Şcoala Medie Nr. 3, bacalaureat 1956.
Studii universitare: din 1956 Facultatea de Matematică ṣi Fizică a Universităṭii Bolyai, ulterior Facultatea de Matematică ṣi Fizică a Universităṭii Babeṣ-Bolyai; licenṭiat în Matematică ṣi Fizică în 1960.

Cariera profesională:

Din 1960 pȃnă în 1990 cercetător stagiar, cercetător ṣi cercetător principal III la Institutul de Calcul al Academiei RSR, Filiala Cluj.
Din 1990 pȃnă în 1995 conferenṭiar, apoi profesor pȃnă în 2006 la Catedra de Teoria Funcṭiilor, Facultatea de Matematică ṣi Informatică a Universităṭii Babeṣ-Bolyai din Cluj.

Grade ṣtiinṭifice:

Doctor în matematici.
Teza de doctorat: Transformări ale sistemelor lui Cebîṣev,
Susṭinut în 1971 la Institutul de Calcul. Conducător T. Popoviciu.
Academician: din 2007 membru extern al Academiei de Ştiinṭe Maghiare.

Rezultate ṣi publicaṭii ṣtiinṭifice în domeniile:

Teoria jocurilor matriciale;
Teoria celei mai bune aproximaṭii;
Ecuaṭii diferenṭiale ordinare;
Geometrie convexă;
Proiecṭii pe conuri ṣi teoria complementarităṭii;
Geometrie liniară;
Minimizare neconvexă;
Topologie generală;
Algebre Jordan.

In jur de nouăzeci de lucrări publicate în ṭară ṣi în străinătate, referate în reviste referate, Referativnii Jurnal, Mathematical Reviews, Zentrallblatt für Mathematik.

Activitatea didactică:

Cursuri universitare în domeniul algebrei liniare, teoria probabilităṭilor ṣi statistică, topologie generală, teoria funcṭiilor reale, teoria funcṭiilor complexe, teoria funcṭiilor convexe, optimizare vectorială, teoria aproximării.
Trei cursuri universitare tipărite, ṣi mai multe capitole în monografii.

(sursa: A. Németh)

A.B.Németh, Characterization of the ∂-Dedekind complete Riesz space by the subadditivity of its positive part mapping. Preprint, arXiv: 2304.04594 (2023)
A.B.Németh, Geometry of the proper asymmetric norm. Preprint, arXiv: 2101.05680 (2021)
A.B.Németh, Mutually polar retractions on convex cones. Preprint, arXiv: 2012.04530 (2020)
A.B. Németh, S.Z. Németh, Subadditive retractions on cones and asymmetric vector norms, 2020, preprint arXiv:2005.10508
A.B. Németh, S.Z. Németh, Order isotonicity of the metric projection onto a closed convex cone, preprint arXiv 1602.04743, 2016 – arxiv.org
A.B. Németh, S.Z. Németh, Linear complementarity on simplicial cones and the congruence orbit of matrices, preprint arXiv 1608.08895, 2016 – arxiv.org
Kramer, A.B. Németh, Family of closed convex sets covering the faces of a simplex, preprint arXiv 1510.05877, 2015 – arxiv.org
A.B. Németh, Sphere covering by minimal number of caps and short closed sets, preprint arXiv 1512.06361, 2015 – arxiv.org
A.B.Németh; S.Z.Németh, Self-dual cones, generalized lattice operations and isotone projections. Preprint, arXiv: 1210.2324 (2012)
A.B. Németh, S.Z. Németh, Isotonicity of the projection onto the monotone cone, preprint arXiv 1201.4677, 2012 – arxiv.org
A.B. Németh, S.Z. Németh, How to project onto the monotone cone using Pool Adjacent Violators type algorihms, preprint arXiv 1201.2343, 2012 – arxiv.org
Ekárt, A.B. Németh, S.Z. Németh, Rapid heuristic projection on simplicial cones, preprint arXiv 1001.1928, 2010 – arxiv.org
Németh, A. B.; Németh, S. Z. Lattice-like subsets of Euclidean Jordan algebras. Essays in mathematics and its applications, 159–179, Springer, [Cham], 2016. MR3526919
Németh, A. B.; Németh, S. Z. Isotonic regression and isotonic projection. Linear Algebra Appl. 494 (2016), 80–89. MR3455687
Németh, A. B.; Németh, S. Z. Isotone retractions onto the positive cone of the ordered Euclidean space. Mathematics without boundaries, 381–396, Springer, New York, 2014. MR3330710
Guyader, Arnaud; Jégou, Nicolas; Németh, Alexander B.; Németh, Sándor Z. A geometrical approach to iterative isotone regression. Appl. Math. Comput. 227 (2014), 359–369. MR3146323
Németh, A. B.; Németh, S. Z. Lattice-like operations and isotone projection sets. Linear Algebra Appl. 439 (2013), no. 10, 2815–2828. MR3116394
Németh, A. B.; Németh, S. Z. A duality between the metric projection onto a convex cone and the metric projection onto its dual. J. Math. Anal. Appl. 392 (2012), no. 2, 171–178. MR2917295
Németh, S. Z.; Németh, A. B. About the existence of an isotone retraction onto a convex cone. J. Convex Anal. 18 (2011), no. 3, 707–720. MR2858090
Németh, A. B.; Németh, S. Z. How to project onto an isotone projection cone. Linear Algebra Appl. 433 (2010), no. 1, 41–51. MR2645063
Kramer, Horst; Németh, A. B. Supporting sphere for a special family of compact convex sets in the Euclidean space. Math. Pannon. 19 (2008), no. 1, 3–12. MR2426779
Isac, G.; Németh, A. B. A relation between nuclear cones and full nuclear cones. Aust. J. Math. Anal. Appl. 2 (2005), no. 2, Art. 13, 10 pp. MR2188226
Németh, A. B. The Fenchel-Young duality and the best approximation problem. Pure Math. Appl. 15 (2004), no. 1, 55–62 (2005). MR2145411
Németh, A. B. Regular ordering and existence of minimum points in uniform spaces and topological groups. Positivity 8 (2004), no. 3, 305–313. MR2120125
Németh, A. B. The facial structure of the finite dimensional latticial cone. Math. Pannon. 15 (2004), no. 2, 175–198. MR2098673
Németh, A. B. Ordered uniform spaces and variational problems. Ital. J. Pure Appl. Math. No. 16 (2004), 183–192. MR2091725
Németh, A. B. Characterization of a Hilbert vector lattice by the metric projection onto its positive cone. J. Approx. Theory 123 (2003), no. 2, 295–299. MR1990103
Németh, A. B. On the interpolation shadow of a finite dimensional subspace of a normed space. East J. Approx. 8 (2002), no. 2, 145–150. MR1983846 MR1891716 Reviewed
Németh, A. B. Ekeland’s variational principle in ordered abelian groups. Nonlinear Anal. Forum 6 (2001), no. 2, 299–312. (Reviewer: A. Göpfert) 58E17 (49J53 58E30)
Németh, A. B. Geometry of regular plane sets and Chebyshev system theory. Math. Pannon. 11 (2000), no. 1, 63–76. MR1740737
Németh, A. B. A Chebyshev system approach to the boundary behaviour of the sublinear functions. Studia Univ. Babeş-Bolyai Math. 43 (1998), no. 4, 71–83. MR1858936
Németh, A. B. Augmentation to a periodic Chebyshev system of three functions. Mathematica 40(63) (1998), no. 2, 259–267. MR1746529
Németh, A. B. A Chebyshev system approach to the boundary behaviour of the sublinear functions. Approximation and optimization, Vol. I (Cluj-Napoca, 1996), 323–326, Transilvania, Cluj-Napoca, 1997. MR1487114
Németh, A. B. On two notions of generalized convexity and the boundary behaviour of the bivariate convex functions. Pure Math. Appl. 6 (1995), no. 2-3, 251–271. MR1430276
Németh, A. B. The axiom of Archimedes, hemispaces, hypercones and ϵ-efficiency. Seminar on Mathematical Analysis (Cluj-Napoca, 1993–1994), 79–94, Preprint, 94-7, Babeş-Bolyai Univ., Cluj-Napoca, 1994. MR1439549
Németh, A. Convex operators: some subdifferentiability results. Optimization 23 (1992), no. 4, 275–301. MR1238430
Isac, George; Németh, Alexandru B. Isotone projection cones in Euclidean spaces. Ann. Sci. Math. Québec 16 (1992), no. 1, 35–52. MR1173932
Isac, G.; Németh, A. B. Isotone projection cones in Hilbert spaces and the complementarity problem. Boll. Un. Mat. Ital. B (7) 4 (1990), no. 4, 773–802. MR1086704
Isac, G.; Németh, A. B. Projection methods, isotone projection cones, and the complementarity problem. J. Math. Anal. Appl. 153 (1990), no. 1, 258–275. MR1080130
G. Isac, A.B. Németh, Every generating isotone projection cone is latticial and correct. J. Math. Anal. Appl. 147 (1990), no. 1, 53–62. MR1044685
Németh, A. B. A summation criterion for normal cones in Fréchet spaces. Seminar on Optimization Theory, 81–90, Preprint, 89-8, Univ. Babeş-Bolyai, Cluj-Napoca, 1989. MR1130197
Németh, A. B. Ordered Fréchet spaces with universal subdifferentiability properties. Seminar on Functional Analysis and Numerical Methods, 85–94, Preprint, 89-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1989. MR1043697
Németh, A. B. Normality, regularity, latticiality and order completeness of ordered Fréchet spaces. Seminar on Mathematical Analysis (Cluj-Napoca, 1988–1989), 93–98, Preprint, 89-7, Univ. Babeş-Bolyai, Cluj-Napoca, 1989. MR1043191
Németh, A. B. Between Pareto efficiency and Pareto ϵ-efficiency. Optimization 20 (1989), no. 5, 615–637. MR1015432
Németh, A. B. The Dini theorem and normal cones in Banach spaces. Seminar on Mathematical Analysis (Cluj-Napoca, 1987–1988), 113–124, Preprint, 88-7, Univ. Babeş-Bolyai, Cluj-Napoca, 1988. MR0989607
Németh, A. B. Regularity of sets in ordered locally convex spaces and the existence of Pareto efficient points. Seminar on Optimization Theory, 81–90, Preprint, 87-8, Univ. Babeş-Bolyai, Cluj-Napoca, 1987. MR0977094
Németh, A. B. Subdifferentiability of convex operators ranging in latticially ordered Banach spaces. Seminar on Functional Analysis and Numerical Methods, 115–120, Preprint, 87-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1987. MR0977082
Németh, A. B. Domination of cones and subdifferentiability of convex operators. Seminar on Functional Analysis and Numerical Methods, 103–114, Preprint, 87-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1987. MR0977081
Isac, G.; Németh, A. B. Corrigendum to: “Monotonicity of metric projections onto positive cones of ordered Euclidean spaces” [Arch. Math. (Basel) 46 (1986), no. 6, 568–576; MR0849864]. Arch. Math. (Basel) 49 (1987), no. 4, 367–368. MR0913170
Németh, A. B. On Alfred Haar’s original proof of his theorem on best approximation. A. Haar memorial conference, Vol. I, II (Budapest, 1985), 651–659, Colloq. Math. Soc. János Bolyai, 49, North-Holland, Amsterdam, 1987. MR0899565
A.B. Németh, On the subdifferentiability of convex operators. J. London Math. Soc. (2) 34 (1986), no. 3, 552–558. MR0864457
A.B. Németh, A nonconvex vector minimization problem. Nonlinear Anal. 10 (1986) no. 7, pp. 669–678. MR0849956
G. Isac, A.B. Németh, Monotonicity of metric projections onto positive cones of ordered Euclidean spaces. Arch. Math., 46 (1986) no. 6, 568–576. MR0849864
A.B. Németh, A necessary condition for subdifferentiability of convex operators. Preprint, “Babeş-Bolyai” Univ., Fac. Math., Res. Semin. 1, 104-126 (1986)
A.B. Németh, Known and new equivalent forms of the archimedean property of ordered vector apaces. Preprint, “Babeş-Bolyai” Univ., Fac. Math., Res. Semin. 1, 93-103 (1986)
Németh, A. B., Monotone sequence property and directional minorability of convex operators are equivalent. Proceedings of the colloquium on approximation and optimization (Cluj-Napoca, 1985), 303–306, Univ. Cluj-Napoca, Cluj-Napoca, 1985. MR0847282
Németh, A. B., On some universal subdifferentiability properties of ordered vector spaces. Seminar of functional analysis and numerical methods, 93–116, Preprint, 85-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1985. MR0832507
Németh, A. B., Simultaneous transformation of the order and of the topology by nonlinear operators. Seminar of functional analysis and numerical methods, 135–158, Preprint, 84-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1984. MR0785379
Németh, A. B., Sequential regularity and the directional differentiability of convex operators are equivalent. Seminar of functional analysis and numerical methods, 123–134, Preprint, 84-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1984. MR0785378
Németh, A. B., Linear operators that transform a normal cone in completely regular cones. Studia Univ. Babeş-Bolyai Math. 28 (1983), 3–15. MR0743567
Németh, A. B., Vector minimization principles with and without the axiom of choice. Seminar of functional analysis and numerical methods, 155–166, Preprint, 83-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1983. MR0719400
Németh, A. B., Normal cone valued metrics and nonconvex vector minimization principle. Seminar of functional analysis and numerical methods, 117–154, Preprint, 83-1, Univ. Babeş-Bolyai, Cluj-Napoca, 1983. MR0719399
Németh, A. B., Summation criteria for regular cones with applications. Seminar of Functional Analysis and Numerical Analysis, pp. 99–124, Preprint 1981, 4, Univ. Babeş-Bolyai, Cluj-Napoca, 1981. MR0671749
Németh, A. B., Near to minimality in ordered vector spaces. Mathematica (Cluj) 23(46) (1981), no. 2, 239–243 (1982). MR0670536
Németh, A. B., The nonconvex minimization principle in ordered regular Banach spaces. Mathematica (Cluj) 23(46) (1981), no. 1, 43–48. MR0649383
Németh, A. B., The nonconvex minimization principle in ordered regular Banach spaces. Seminar of Functional Analysis and Numerical Methods, pp. 51–59, Preprint 1980, 1, Univ. Babeş-Bolyai, Cluj-Napoca, 1980. MR0658498
Németh, A. B., Near to minimality in ordered vector spaces. Seminar of Functional Analysis and Numerical Methods, pp. 44–50, Preprint 1980, 1, Univ. Babeş-Bolyai, Cluj-Napoca, 1980. MR0658497
Németh, A. B., Nonlinear operators that transform a wedge. Studia Univ. Babeş-Bolyai Math. 25 (1980), no. 4, 55–69. MR0631846
Németh, A. B., Nonlinear operators that transform a wedge. Seminar of Functional Analysis and Numerical Methods, pp. 21–43, Preprint 1980, 1, Univ. Babeş-Bolyai, Cluj-Napoca, 1980. MR0658496
Németh, A. B., The comparison of the Michal-Bastiani and of the Clarke subdifferential. Studia Univ. Babeş-Bolyai Math. 25 (1980), no. 3, 60–65. MR0619533
Németh, A. B., Some differential properties of the convex mappings. Mathematica (Cluj) 22(45) (1980), no. 1, 107–114. MR0618035
Németh, A. B., Existence of Pareto subgradients of finite-dimensional range. Proceedings of the Third Colloquium on Operations Research (Cluj-Napoca, 1978), pp. 188–193, Univ. Babeş-Bolyai, Cluj-Napoca, 1979. MR0622039
Németh, A. B., Existence of algebraic subgradients for convex mappings. Mathematica (Cluj) 21(44) (1979), no. 2, 155–161. MR0594876
A. B. Németh, Strictly positive linear functionals and Pareto subgradients of minimal range. Arch. Math. 33 (1979/80) no. 5, 466–469. MR0567368
A.B. Németh, A geometrical approach to conjugate point classification for linear differential equations. Rev. Anal. Numér. Théor. Approx. 4 (1975), no. 2, 137–152 . MR0594943
Kramer, H., Németh, A. B., The application of Brouwer’s fixed point theorem to the geometry of convex bodies. (Romanian) An. Univ. Timişoara Ser. Şti. Mat. 13 (1975), no. 1, 33–39 (1977). MR0467528
A.B. Németh, Conjugate point classification with application to Chebyshev systems. Rev. Anal. Numér. Théorie Approximation 3 (1974), no. 1, 73–78. MR0377387
H. Kramer, A.B. Németh, Equally spaced points for families of compact sets in Euclidean spaces. Arch. Math. (Basel) 25 (1974), 198–202. MR0348632
Németh, A. B., Unrestricted differential n-parameter families. II. Relation with disconjugacy. Mathematica (Cluj) 15(38) (1973), 89–100. MR0508436
A.B. Németh, Approximation theory and imbedding problems. Rev. Anal. Numér. Théorie Approximation 2 (1973), 61–67. MR0380226
Kramer, Horst; Németh, A. B., Equally spaced points for families of compact convex sets in Minkowski spaces. Mathematica (Cluj) 15(38) (1973), 71–78. MR0362062
Németh, A. B., Disconjugacy of an equation by the disconjugacy of its equations in variation. Glasnik Mat. Ser. III 8(28) (1973), 229–245. MR0330626
H. Kramer, A.B. Németh, Supporting spheres for families of independent convex sets. Arch. Math. (Basel) 24 (1973), 91–96. MR0315590
H. Kramer, A.B. Németh, Triangles inscribed in smooth closed arcs, Rev. Anal. Numér. Théorie Approximation 1 (1972), 63–71. MR0375195
Németh, A. B., Unrestricted differential n-parameter families. I. Characterization and transformation theorems. Mathematica (Cluj) 14(37) (1972), 95–105. MR0335719
Németh, A. B., The homotopical characterization of the set of unrestricted Chebyshev spaces. Mathematica (Cluj) 13(36) 1971, 235–249. MR0343231
Németh, A. B., Continuous transformations of Čebyšev spaces and of Čebyšev spaces having the property I∗n. (Romanian) Stud. Cerc. Mat. 23 (1971), 1125–1136. MR0328446
Németh, A. B., Nonlinear differential n-parameter families. Rev. Roumaine Math. Pures Appl. 15 1970 111–118. MR0264285
Németh, A. B., About an imbedding conjecture for k-independent sets. Fund. Math. 67 1970 203–207. MR0261576
Németh, A. B., An iterative method of solving normal finite n-person games. (Romanian) Stud. Cerc. Mat. 21 1969 439–450. MR0274047
Németh, A. B., About the extension of the domain of definition of the Chebyshev systems defined on intervals of the real axis. Mathematica (Cluj) 11 (34) 1969 307–310. MR0265830
Németh, A. B., Korovkin’s theorem for nonlinear 3-parameter families. Mathematica (Cluj) 11 (34) 1969 135–136. MR0259447
Németh, A. B., Homeomorphic projections of k-independent sets and Chebyshev subspaces of finite dimensional Chebyshev spaces. Mathematica (Cluj) 9 (32) 1967 325–333. MR0235367
Németh, A. B., Transformations of the Chebyshev systems. Mathematica (Cluj) 8 (31) 1966 315–333. MR0213787
Németh, A. B., A theorem on the solvability of the problem of lacunary interpolation. (Romanian) Stud. Cerc. Mat. 17 1965 1411–1413. MR0228885
Nemet, A. B., Games formed with the aid of one and the same matrix. (Russian) Mathematica (Cluj) 6 (29) 1964 81–85. MR0205701
A.B. Németh, Lacunary interpolation on distinct nodes. (Romanian) Acad. R. P. Romîne Fil. Cluj Stud. Cerc. Mat. 14 1963 111–122. MR0184013
A.B. Németh, Interpolating polynomial of type (0,n,2n,⋯,kn) and generalization for the general aspect of interpolation with lacunae. (Romanian) Acad. R. P. Romîne Fil. Cluj Stud. Cerc. Mat. 14 1963 103–110. MR0184012
A.B. Németh, Some aspects of the theory of convex cones in Hilbert space from the point of view of the notion of polar. (Romanian) Com. Acad. R. P. Romîne 14 1963 no. 2. 341–353. MR0180833
Alexandru B. Németh, On some properties of completely weighted and completely mixed matrices. (Romanian) Acad. R. P. Romîne Fil. Cluj Stud. Cerc. Mat. 13 1962 no. 1, 129–134. MR0178976
L. Negrescu, A. Németh, T. Rus, Positive solutions of a system of linear equations. (Romanian) Acad. R. P. Romîne Fil. Cluj Stud. Cerc. Mat. 13 1962 no. 1, 123–127. MR0178003
Alexandru B. Németh, Sur quelques propriétés des matrices complètement pondérées et complètement mixtes. Mathematica (Cluj) 4 (27) 1962 71–76. MR0172724
L. Negrescu, A. Németh, T. Rus, Sur les solutions d’un système d’équations linéaires. (French) Mathematica (Cluj) 4 (27) 1962 65–69. MR0156860
Alexandru B. Németh, On the structure of real matrices from the point of view of the theory of games. (Romanian) Acad. R. P. Romîne Fil. Cluj Stud. Cerc. Mat. 13 1962 no. 1, 135–145. MR0152537

versiune: 29 iulie 2020.