Ein lokal überlinear konvergentes Verfahren zur Bestimmung von Rückkehrpunkten implizit definierter Raumkurven |
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Authors: | Gerd Pönisch Hubert Schwetlick |
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Affiliation: | (1) Sektion Mathematik, Technische Universität Dresden, 8027 Dresden, GDR;(2) Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, 4010 Halle, GDR |
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Abstract: | Summary A numerical technique is described for computing turning points of a space curveL implicitly defined by a nonlinear system ofn equations inn+1 variables. The basic idea is a local parametrization ofL where the parameter that gives the next iterate is determined by applying one step of the well-known method for minimizing a real function using cubic Hermite interpolation with two nodes. The method is shown to convergeQ-super-linearly and withR-order of at least two. A numerical example concerning the analysis of nonlinear resistive circuits shows the algorithm to work effectively on real life problems. |
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Keywords: | AMS(MOS): 65H10, 47H17 CR: 5.15 |
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