Proving the convergence of the iterative methods by using symbolic computation in Maple

Proving the convergence of the iterative methods by using symbolic computation in Maple

The proofs of the convergence for some high-order methods for solving nonlinear equations, by using symbolic computation in Maple, is presented. Also, the convergence error for some Newton-type methods is evaluated by symbolic computation.

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Veröffentlicht in:Carpathian Journal of Mathematics 2012-01, Vol.28 (1), p.1-8
1. Verfasser: Ardelean, Gheorghe
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Error rates
Human error
Iterative methods
Mathematical functions
Newtons method
Nonlinear equations
Perceptron convergence procedure
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Beschreibung
Zusammenfassung:The proofs of the convergence for some high-order methods for solving nonlinear equations, by using symbolic computation in Maple, is presented. Also, the convergence error for some Newton-type methods is evaluated by symbolic computation.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2012.01.20