dc.contributor.author
Campos, Beatriz
dc.contributor.author
Canela Sánchez, Jordi
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Vindel, Pura
dc.identifier
https://ddd.uab.cat/record/199373
dc.identifier
urn:10.1016/j.cnsns.2017.08.024
dc.identifier
urn:oai:ddd.uab.cat:199373
dc.identifier
urn:gsduab:4710
dc.identifier
urn:articleid:18787274v56p508
dc.identifier
urn:scopus_id:85029077860
dc.identifier
urn:wos_id:000412682700038
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.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2014-52016-C02-2-P
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Ministerio de Economía y Competitividad MTM2014-55580-REDT
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Communications in nonlinear science and numerical simulation ; Vol. 56 (March 2018), p. 508-525
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
Convergence regions for the Chebyshev--Halley family
