Pathological Functions for Newton's Method

Two functions that exhibit "false convergence" phenomenon are derived. Pathological functions for Newton's method are presented.

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Bibliographische Detailangaben
Veröffentlicht in:	The American mathematical monthly 1993-01, Vol.100 (1), p.53-58
Hauptverfasser:	Donovan, George C., Miller, Arnold R., Moreland, Timothy J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Exact sciences and technology Mathematical functions Mathematics Newton approximation methods Newtons method Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Pathology Roots of functions Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	Two functions that exhibit "false convergence" phenomenon are derived. Pathological functions for Newton's method are presented.
ISSN:	0002-9890 1930-0972
DOI:	10.1080/00029890.1993.11990365