Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/8399

Título :	Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots
Autor :	Cadenas Román, Carlos Eduardo
Palabras clave :	Geometric construction Newton’s method Multiple roots Nonlinear equations AMS subject classifications: 65H05 Nonlinear algebraic or transcendental equations Single equations
Issue Date:	2018
Editorial :	Punjab University
Citación :	Cadenas, C. (2018). Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots. Punjab University Journal of Mathematics. Vol. 50(1), 2018. pp. 15-21
Citación :	Punjab University Journal of Mathematics, Vol. 50(1), 2018
Resumen :	In this paper we give some geometric constructions of variations of Newton’s method, based on ideas of Schr¨oder, for the case that roots are multiple. A straight line and a polynomial are used to construct the iteration equation when the multiplicity of the root is known. In the case that the multiplicity is unknown another straight line and a rational function are used. Representative figures of an example are given.
URI:	http://hdl.handle.net/123456789/8399
ISSN :	1016-2526
Appears in Collections:	(Ciencias Básicas) Articulos

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