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Zeitschrift für Analysis und ihre Anwendungen

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Volume 3, Issue 6, 1984, pp. 489–502
DOI: 10.4171/ZAA/124

Published online: 1984-12-31

Zur numerischen Bestimmung des Abbildungsgrades im $\mathbb R^n$ II

Wolfgang Kliesch

In this part of the paper, special formulas are deduced from the representations of the topological degree introduced in the first part. Partially, these formulas are generalizations of well-known formulas. Thus, possible means are given for unified approach to the computational formulas for the topological degree used in numerical analysis. Further it is shown how, using Kuhnsimplices, the topological degree can be used for existence proofs and error estimations for zeros of nonlinear equations. Results of some computational tests are given in the last section.

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Kliesch Wolfgang: Zur numerischen Bestimmung des Abbildungsgrades im $\mathbb R^n$ II. Z. Anal. Anwend. 3 (1984), 489-502. doi: 10.4171/ZAA/124