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BIT 32 (1992). 334-344. SOME EFFICIENT METHODS FOR ENCLOSING
 

Summary: -
BIT 32 (1992). 334-344.
SOME EFFICIENT METHODS FOR ENCLOSING
SIMPLE ZEROS OF NONLINEAR EQUATIONS
GÖTZ E. ALEFELD and FLORIAN A. POTRA1
1nstitutfür Angewandte Mathematik
Universität Karlsruhe
Kaiserstrasse 12, Postfach 6380
D-W-7500 Karlsruhe, Germany
Department of Mathematics
University of 10wa
Jowa City, JA 52242
USA
Abstract.
In the present paper wepropose three newmethods forcomputing sequencesofenclosingintervals for
a zero of areal function without convexityassumptions.
The new methods have been tested on aseries ofpublished examples.The numericalexperimentsshow
that our methods are comparable in terms of efficiencywith the welJ-knownalgorithms of Dekker and
Brent.
AMS Subject Classijications:65H05.

  

Source: Alefeld, Götz - Institut für Angewandte und Numerische Mathematik & Fakultät für Mathematik, Universität Karlsruhe

 

Collections: Mathematics