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Hauptinhalt

Veröffentlichungen

  • C. Fassino, H. M. Möller: Multivariate polynomial interpolation with perturbed data, Numerical Algorithms 71 (2016), 273 - 292.

  • R. Curto, L. Fialkow, H. M. Möller: The extremal truncated moment problem, Integral Equations Operator Theory 52 (2005), 177 - 200.
    Addendum, Integral Equations Operator Theory 61 (2008), 147 - 148

  • H. M. Möller: On square positive extensions and cubature formulas, Journal of Computational and Applied Mathematics 199 (2007), 80 - 88.

  • H. M. Möller: An inverse problem for cubature formulae, Computational Technologies 9 (2004), 13 - 20. pdf

  • H. M. Möller, T. Sauer: Multivariate refinable functions of high approximation order via quotient ideals of Laurent polynomials, Adv. in Comp. Math. 20 (2004), 205 - 228. pdf

  • H. M. Möller, R. Tenberg: Multivariate polynomial system solving using intersections of eigenspaces, J. Symb. Comp. 32 (2001), 513 - 531.pdf

  • H. M. Möller, T. Sauer: H-Bases for polynomial interpolation and system solving, Adv. in Comp. Math. 12 (2000), 335 - 362. pdf

  • H. M. Möller: Good non-zeros of polynomials, SIGSAM Bulletin, Sept 1999. pdf

  • H. M. Möller, T. Sauer: H-bases I: The foundation. In: "Curve and Surface Fitting" (ed. Albert Cohen et al.), Vanderbilt Univ. Press 1999, 325 - 332. pdf

  • H. M. Möller, T. Sauer: H-bases II: Application to numerical problems. In: "Curve and Surface Fitting" (ed. Albert Cohen et al.), Vanderbilt Univ. Press 1999, 333 - 342. pdf

  • H. M. Möller: Exact computation of the generalized inverse and least squares solution, Ergebnisberichte Angewandte Mathematik, Nr. 168, Universität Dortmund,1999. pdf

  • H. M. Möller: Gröbner bases and numerical analysis. In: "Gröbner Bases and Applications" (eds.: B. Buchberger and F. Winkler), London Math. Soc.Lecture Notes Series 251, Cambridge Univ. Press 1998. pdf

  • H. M. Möller: Solving of algebraic equations, an interplay of symbolical and numerical methods, In: Multivariate Approximation, Recent trends and results (eds.: W.Haußmann, K.Jetter, M.Reimer), Math. Research 101, 161-176, Akademie Verlag, Berlin 1997.

  • M.G.Marinari, H. M. Möller, T.Mora: On multiplicities in polynomial system solving. Trans. AMS 348, 3283-3321 (1996).

  • M.G.Marinari, H. M. Möller, T.Mora: Gröbner duality and multiplicities in polynomial system solving, Proceedings of ISSAC 95, 167-179, ACM 1995.

  • H. M. Möller, H.J.Stetter: Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems, Numer. Math. 70, 311-329 (1995).

  • H. M. Möller: Systems of algebraic equations solved by means of endomorphisms, Lecture Notes in Comp. Sci. 673, 43-56, Springer Verlag 1993.

  • H. M. Möller: On decomposing systems of polynomial equations with finitely many solutions, Appl. Alg. in Eng. Comm. and Comp. 4, 217-230 (1993).

  • M.G.Marinari, H. M. Möller, T.Mora: Gröbner bases of ideals defined by functionals with an application to ideals of projective points, Appl. Alg. in Eng. Comm. and Comp. 4, 103-145 (1993).

  • H. M. Möller, T.Mora, C. Traverso: Gröbner bases computation using syzygies, Proceedings of ISSAC 92, 320-328, ACM 1993.

  • M.G.Marinari, H. M. Möller, T.Mora: Gröbner bases of ideals given by dual bases, Proceedings of ISSAC 91, 55-63, ACM 1991.

  • H. M. Möller: Computing syzygies á la Gauß-Jordan, Progress in Mathematics 94, 335-345, Birkhäuser Verlag 1991.

  • H. M. Möller: Multivariate rational interpolation: reconstruction of rational functions, ISNM 90, 249-256, Birkhäuser Verlag 1989.

  • H. Melenk, H. M. Möller, W. Neun: Symbolic solution of large stationary chemical kinetics problems, Impact of Computing in Science and Engeneering 1, 138-167, 1989.

  • R. Gebauer, H. M. Möller: Buchberger's algorithm and staggered linear bases, Proc. of SYMSAC 86, 218-221, ACM 1986.

  • H. M. Möller, F. Mora: New constructive methods in classical ideal theory, J. of Algebra 100, 138-178 (1986).

  • H. M. Möller: A reduction strategy for the Taylor resolution, Lecture Notes in Comp. Sci. 204, 526-534, Springer Verlag 1985.

  • H. M. Möller, F. Mora: Upper and lower bounds for the degree of Gröbner bases, Lecture Notes in Comp. Sci. 174, 172-183, Springer Verlag 1984.

  • H. M. Möller, F. Mora: The computation of the Hilbert function, Lecture Notes in Comp. Sci. 162, 157-167, Springer Verlag 1983.

  • B. Buchberger, H. M. Möller: The construction of multivariate polynomials with preassigned zeros, Lecture Notes in Comp. Sci. 144, 24-31, Springer Verlag 1982.

  • H. M. Möller: An immediate construction of numerical integration and differentiation formulae, ISNM 61, 275-283, Birkhäuser Verlag 1982.

  • H. M. Möller: Gaussian cubature formulae of degree 2 and 3, ISNM 57, 170-176, Birkhäuser Verlag 1982.

  • H. M. Möller: Linear abhängige Punktfunktionale bei zweidimensionalen Interpolations- und Approximationsproblemen, Math. Z. 173, 35-49 (1980).

  • H. M. Möller: The construction of cubature formulae and ideals of principal classes, ISNM 51, 249-264, Birkhäuser Verlag 1979.

  • Axel Grundmann, H. M. Möller: Invariant integration formulas for the n-simplex by combinatorial methods, SIAM J. Numer. Anal. 15, 282-290 (1978).

  • H. M. Möller: Hermite interpolation in several variables using ideal-theoretic methods, Lecture Notes in Mathematics 571, 155-163, Springer Verlag 1976.

  • H. M. Möller: Mehrdimensionale Hermite-Interpolation und numerische Integration, Math. Z. 148, 107-118 (1976).

  • H. M. Möller: Kubaturformeln mit minimaler Knotenzahl, Numer. Math. 25, 185-200 (1976).

  • H. M. Möller: Polynomideale und Kubaturformeln, Dissertation in der Abteilung Mathematik der Universität Dortmund, 1973.