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Solving nonlinear equation systems via global partition and search: Some experimental results

Auflösung nichtlinearer Gleichungssysteme mittels globaler Zerlegung und Suche: Einige experimentelle Ergebnisse

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Abstract

A general framework is proposed for the solution of nonlinear equation systems, applying multiextremal (global) optimization methodology. Following a brief presentation of the background needed, numerical results are reported for two classes of easily reproducible pseudo-random test problems.

Zusammenfassung

Es wird ein allgemeiner Rahmen für die Lösung nichtlinearer Gleichungssysteme vorgeschlagen, der auf Prinzipien der globalen Optimierung beruht. Nach einer kurzen Darstellung der benötigten Grundlagen werden numerische Testergebnisse für zwei Klassen von leicht reproduzierbaren Pseudo-Random-Testproblemen vorgestellt.

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Pintér, J. Solving nonlinear equation systems via global partition and search: Some experimental results. Computing 43, 309–323 (1990). https://doi.org/10.1007/BF02241652

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  • DOI: https://doi.org/10.1007/BF02241652

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