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Prof. Dr. Michael Stiebitz

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Publications

Publications at the institute since 1990

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Liebscher, Eckhard; Schäbe, Hendrik
A generalization of the Kaplan-Meier estimator to Harris-recurrent Markov chains. - In: Statistical papers. - Berlin : Springer, ISSN 1613-9798, Bd. 38 (1997), 1, S. 63-75

http://dx.doi.org/10.1007/BF02925215
Heinrich, Lothar; Liebscher, Eckhard
Strong convergence of kernel estimators for product densities of absolutely regular point processes. - In: Journal of nonparametric statistics. - Abingdon : Taylor & Francis, ISSN 1048-5252, Bd. 8 (1997), 1, S. 65-96

Neundorf, Werner; Ortlepp, Thomas
Unvollständige LU-Zerlegung und approximative Inverse von Blocktridiagonalmatrizen. - Ilmenau : Techn. Univ., Inst. für Mathematik, 1997. - 17 S. = 268,2 KB. . - (Preprint. - M97,05)
http://www.db-thueringen.de/servlets/DocumentServlet?id=6105
Büntig, Wolfgang G.; Vogt, Werner
Numerical simulation of subharmonically reacting nonlinear electrical circuits. - Ilmenau : Techn. Univ., Inst. für Mathematik, 1997. - 14 S. = 509,8 KB. . - (Preprint. - M97,10)
http://www.db-thueringen.de/servlets/DocumentServlet?id=6103
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