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Suche nach „[Grabmeier] [Johannes]“ hat 37 Publikationen gefunden
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    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier

    Computeralgebra - eine Säule des Wissenschaftlichen Rechnens

    it+ti - Informationstechnik und Technische Informatik, vol. 37, no. 6, pp. 5-20

    1995

    Angewandte Wirtschaftswissenschaften

    Beitrag (Sammelband oder Tagungsband)

    Johannes Grabmeier

    An Application of a Symbolic Version of the Raleigh-Ritz Method to the Design of Aircraft Turbines

    Computer algebra in science and engineering, Singapore; River Edge, N.J

    1995

    ISBN: 978-981-02-2319-9

    Angewandte WirtschaftswissenschaftenExtern

    Beitrag (Sammelband oder Tagungsband)

    J. Fleischer, Johannes Grabmeier, et al.

    Computer Algebra in Science and Engineering

    Konferenzband der Konferenz am Zentrum für interdisziplinäre Forschung (ZiF) Bielefeld, Singapur, Singapur

    1995

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    A. Duer, Johannes Grabmeier

    Applying Coding Theory to Interpolation

    SIAM Journal on Computing, vol. 22, no. 4, pp. 695-704

    1993

    Angewandte Wirtschaftswissenschaften

    Beitrag (Sammelband oder Tagungsband)

    Johannes Grabmeier, R. Wisbauer

    Computations in Algebras of Finite Rank

    Computational Algebra; Lectures Notes in Pure and Applied Mathematics, New York, NY, USA, vol. 151

    1993

    Angewandte Wirtschaftswissenschaften

    Buch (Monographie)

    R. Jenks, R. Sutor, Johannes Grabmeier

    Axiom

    The scientific computation system

    1992

    ISBN: 0-387-97855-0

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier, A. Scheerhorn

    Finite Fields in AXIOM

    AXIOM Technical Report Series, no. ATR 5

    1992

    Abstract anzeigen

    Finite fields play an important role for many applications (e.g. coding theory, cryptography). There are different ways to construct a finite field for a given prime power. The paper describes the different constructions implemented in AXIOM. These are polynomial basis representation, cyclic group representation, and normal basis representation. Furthermore, the concept of the implementation, the used algorithms and the various datatype coercions between these representations are discussed.

    Angewandte Wirtschaftswissenschaften

    Buch (Monographie)

    Johannes Grabmeier, K. Huber, U. Krieger

    Das Computeralgebrasystem AXIOM bei kryptologischen und verkehrstheoretischen Untersuchungen des Forschungsinstituts der Deutschen Bundespost TELEKOM

    1991

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    M. Clausen, A. Dress, Johannes Grabmeier, M. Karpinski

    On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields

    Theoretical Computer Science, vol. 84, no. 2, pp. 151-164

    1991

    DOI: 10.1016/0304-3975(91)90157-W

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    A. Dress, Johannes Grabmeier

    The Interpolation Problem for k-sparse Polynomials and Character Sums

    Advances in Applied Mathematics, vol. 12, no. 1, pp. 57-75

    1991

    Abstract anzeigen

    Motivated by a remarkable result of D. Y. Grigoriev and M. Karpinski, the interpolation problem for k-sparse multivariate polynomials has received some attention in recent years. In this note we want to show that essentially all of the results obtained so far hold more generally for k-sparse sums of characters of abelian monoids, thereby providing a useful unified approach to this active field of research. As it turns out, there are basically two different situations, in the first one reduction to the (rather trivial) case of cyclic monoids is possible, in the general case we can handle direct products of abelian monoids by using informations about the factors. Basic ingredients of these approaches are the construction of distinction sets for characters and zero-test sets for k-sparse character sums.

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    H. Gollan, Johannes Grabmeier

    Algorithms in Representation Theory and their Realization in the Computer Algebra

    Bayreuther Mathematische Schriften, no. 33, pp. 1-23

    1990

    Angewandte Wirtschaftswissenschaften

    Buch (Monographie)

    G. Dueck, Johannes Grabmeier, G. Jaeschke

    VLSI Complexity of Basic Arithmetic Operations

    1988

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier

    On the socle of Weyl modules

    Archiv der Mathematik, vol. 50, no. 4, pp. 319-322

    1988

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier, A. Kerber

    The evaluation of irreducible polynomial representations of the general linerar groups and of the unitary groups over fields of characteristic 0

    Acta Applicandae Mathematicae, no. 8, pp. 271-291

    1987

    Abstract anzeigen

    We describe an efficient method for the computer evaluation of the ordinary irreducible polynomial representations of general linear groups using an integral form of the ordinary irreducible representations of symmetric groups. In order to do this, we first give an algebraic explanation of D. E. Littlewood's modification of I. Schur's construction. Then we derive a formula for the entries of the representing matrices which is much more concise and adapted to the effective use of computer calculations. Finally, we describe how one obtains — using this time an orthogonal form of the ordinary irreducible representations of symmetric groups — a version which yields a unitary representation when it is restricted to the unitary subgroup. In this way we adapt D. B. Hunter's results which heavily rely on Littlewood's methods, and boson polynomials come into the play so that we also meet the needs of applications to physics.

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier

    Kombinatorische Probleme aus der Darstellungstheorie der GLm(k)

    Publications de l'I.R.M.A., Seminaire Lotharingien de Combinatoire, no. 314/S-12, pp. 131-136

    1986

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier

    Unzerlegbare Moduln mit trivialer Youngquelle und Darstellungstheorie der Schuralgebra

    Bayreuther Mathematische Schriften, no. 20, pp. 9-152

    1985

    Angewandte Wirtschaftswissenschaften

    Zeitschriftenartikel

    Johannes Grabmeier

    Young-Alternation und Garnir-Relationen

    Bayreuther Mathematische Schriften, no. 8, pp. 23-37

    1981