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A higher order method for determining nonisolated solutions of a system of nonlinear equations

Eine Methode höherer Ordnung zur Bestimmung nicht-isolierter Lösungen eines nichtlinearen Gleichungssystems

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Abstract

In this note, we obtain a method of order at least four to solve a singular system of nonlinear algebraic equations. This is achieved by enlarging the system to a higher dimensional one whose solution is isolated. For the larger system we use a method developed by B. Neta.

Zusammenfassung

In dieser kurzen Mitteilung gewinnen wir eine Methode mindestens vierter Ordnung zur Lösung eines singulären Systems nichtlinearer algebraischer Gleichungen. Dies wird durch eine Vergrößerung des Gleichungssystems zu einem höherdimensionalen Gleichungssystem, dessen entsprechende Lösung isoliert ist, erreicht. Dessen Lösung kann durch eine von B. Neta entwickelte Methode bestimmt werden.

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Authors and Affiliations

  1. Department of Mathematics, 79409, Lubbock, Texas Tech University, TX, USA

    B. Neta & H. D. Victory Jr.

Authors
  1. B. Neta
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  2. H. D. Victory Jr.
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Additional information

This work was supported by the U.S. National Science Foundation under the NSF Grant No. CPE-8007396.

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Neta, B., Victory, H.D. A higher order method for determining nonisolated solutions of a system of nonlinear equations. Computing 32, 163–166 (1984). https://doi.org/10.1007/BF02253690

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  • DOI: https://doi.org/10.1007/BF02253690

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