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Veröffentlichungen am Institut für Mathematik seit 1990

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Knobloch, Jürgen; Marx, Bernd; El Morsalani, Mohamed
Characterization of homoclinic points bifurcation from degenerate homoclinic orbits. - Ilmenau : Techn. Univ., Inst. für Mathematik, 1997. - 14 S. = 184,1 KB, Text. . - (Preprint. - M97,13)
http://www.db-thueringen.de/servlets/DocumentServlet?id=6205
Hichert, Jens; Hoffmann, Armin; Phú, Hoàng Xuân
Convergence speed of an integral method for computing the essential supremum. - In: Developments in global optimization. - Dordrecht [u.a.] : Kluwer Academic, (1997), S. 153-170

We give an equivalence between the tasks of computing the essential supremum of a summable function and of finding a certain zero of a one-dimensional convex function. Interpreting the integral method as Newton-type method we show that in the case of objective functions with an essential supremum that is not spread the algorithm can work very slowly. For this reason we propose a method of accelerating the algorithm which is in some respect similar to the method of Aitken/Steffensen.



Ginchev, Ivan; Hoffmann, Armin
On the best approximation of set-valued functions. - In: Recent advances in optimization. - Berlin [u.a.] : Springer, (1997), S. 61-74

Let M be a Hausdorff compact topological space, let C(M) be the Banach space of the continuous on M functions supplied with the supremum norm and let V be a finite dimensional subspace of C(M). The problem of the Chebyshev approximation of a function f of C(M) by functions from V is generalized to two Chebyshev kind approximations of a point-to set mapping by a single valued continuous function from V using suitable distances between a point and a set. The first problem occur e.g. in curve fitting with noisy data or in approximating spatial bodies by circular cylinders with respect to a proper distance. The second problem is useful for calculating continuous selections with special uniform distance properties.



Henning, Andreas;
Nichtlineare autoregressive Modelle der Zeitreihenanalyse. - In: Beiträge aus dem wissenschaftlichen Leben. - Ilmenau : Univ., Bd. 2 (1997), S. 18-21

Unger, Herwig; Böhme, Thomas
Ein multikriterielles, fuzzybasiertes Lastverteilungssystem. - In: Informatik und Automatisierung im Zeitalter der Informationsgesellschaft ; Bd. 1:[Vortragsreihen / Gens, Wolfgang *1933-*. - Ilmenau : Technische Univ., 1997, (1997), S. 269-274

Hildenbrandt, Regina;
Methoden aus ganzzahliger Optimierung und Verbandstheorie zur Behandlung eines stochastischen dynamischen Transportproblems. - Stützerbach : [Libri Books on Demand]. - 164 S.. Zugl.: Ilmenau : Techn. Univ., Habil.-Schr., 1997
ISBN 3898118797
- Hergestellt on demand

Nehse, Reinhard;
[Rezension von: Dontchev, Asen L., 1948-, Well-posed optimization problems]. - In: OR spectrum. - Berlin : Springer, ISSN 1436-6304, 1, S. 28
, Rezension von : Dontchev, Asen L., 1948-: Well-posed optimization problems. - Berlin [u.a.] : Springer, 1993
https://doi.org/10.1007/BF01539877
Nehse, Reinhard;
[Rezension von: Sakawa, Masatoshi, 1947-, Fuzzy sets and interactive multiobjective optimization]. - In: OR spectrum. - Berlin : Springer, ISSN 1436-6304, 4, S. 230
, Rezension von : Sakawa, Masatoshi, 1947-: Fuzzy sets and interactive multiobjective optimization. - New York, NY [u.a.] : Plenum Press, 1993
https://doi.org/10.1007/BF01540161
Nehse, Reinhard;
[Rezension von: Gregory, Geoffrey, Decision analysis]. - In: OR spectrum. - Berlin : Springer, ISSN 1436-6304, 4, S. 208
, Rezension von : Gregory, Geoffrey: Decision analysis. - New York [u.a.] : Plenum Press, 1988
https://doi.org/10.1007/BF01540157
John, Peter E.; Mallion, Roger B.;
Calculating the number of spanning trees in a labeled planar molecular graph whose inner dual is a tree. - In: International journal of quantum chemistry. - New York, NY : Wiley, ISSN 1097-461X, Bd. 60 (1996), 1, S. 59-66

https://doi.org/10.1002/(SICI)1097-461X(1996)60:1<59::AID-QUA6>3.0.CO;2-4