Abstract
We will consider an extension of a direct method due to Griewank and Reddien for the characterization and computation of double singular points with corank 2. Singular points which satisfy certain type of symmetry will also be considered. The method used will produce an extended system which does not introduce the null vectors as variables, but gives a good idea bout them. Several numerical examples are presented to demonstrate that the method is efficient.
Zusammenfassung
Wir betrachten eine Verallgemeinerung eines direkten Verfahrens nach Griewank und Reddien zur Charakterisierung und Berechnung von zweifachen singulären Stellen vom Korang 2. Singuläre Stellen mit einer bestimmten Symmetrie werden ebenfalls behandelt. Das Verfahren generiert ein erweitertes System, das zwar nicht die Nullvektoren als Variable einführt, aber Information über sie liefert. An mehreren numerischen Beispielen wird die Effizienz des Vorgehens gezeigt.
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Attili, B.S. A direct method for the characterization and computation of bifurcation points with corank 2. Computing 48, 149–159 (1992). https://doi.org/10.1007/BF02310530
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DOI: https://doi.org/10.1007/BF02310530