Convergence regions for the Chebyshev--Halley family

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dc.contributor.author	Campos, Beatriz
dc.contributor.author	Canela Sánchez, Jordi
dc.contributor.author	Vindel, Pura
dc.date	2018
dc.identifier	https://ddd.uab.cat/record/199373
dc.identifier	10.1016/j.cnsns.2017.08.024
dc.identifier	oai:ddd.uab.cat:199373
dc.identifier	4710
dc.identifier	10075704v56p508
dc.identifier	85029077860
dc.identifier	000412682700038
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Ministerio de Economía y Competitividad MTM2014-52016-C02-2-P
dc.relation	Ministerio de Economía y Competitividad MTM2014-55580-REDT
dc.relation	Communications in nonlinear science and numerical simulation ; Vol. 56 (March 2018), p. 508-525
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.title	Convergence regions for the Chebyshev--Halley family
dc.type	Article
dc.description.abstract	In this paper, we study the dynamical behaviour of the Chebyshev--Halley family applied on a family of degree n polynomials. For n=2 we bound the set of parameters for which the iterative methods have convergence regions which do not correspond to the basins of attraction of the roots. We also study the dynamics of indifferent fixed points on the boundary of the regions of parameters with bad behaviour. Finally, we provide a numerical study on the boundedness of the regions of parameters with bad behaviour for the family of degree n polynomials.

Campos, Beatriz; Canela Sánchez, Jordi; Vindel, Pura

Campos, Beatriz; Canela Sánchez, Jordi; Garijo, Antoni; Vindel, Pura

Campos, Beatriz; Garijo Real, Antonio; Jarque i Ribera, Xavier; Vindel, Pura

Campos, Beatriz; Garijo, Antoni; Jarque i Ribera, Xavier; Vindel, Pura

Campos, Beatriz; Garijo, Antoni; Jarque i Ribera, Xavier; Vindel, Pura

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