Dynamics of subfamilies of Ostrowski–Chun methods
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Title
Dynamics of subfamilies of Ostrowski–Chun methodsDate
2020-09-25Publisher
ElsevierISSN
0378-4754Bibliographic citation
CAMPOS, B.; VINDEL, P. Dynamics of subfamilies of Ostrowski–Chun methods. Mathematics and Computers in Simulation, vol. 181, p. 57-81.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0378475420303281Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the ... [+]
In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the number of free critical points.We select the one-parametric subfamilies with only one free critical point and we carry out a dynamical study of thesesubfamilies. For each subfamily we study the parameter plane in order to consider which numerical methods are moreappropriate for solving nonlinear equations. [-]
Is part of
Mathematics and Computers in Simulation, Volume 181, March 2021.Investigation project
PGC2018-095896-B-C22 (MCIU/AEI/FEDER/UE), UJI-B2019-18, PROMETEO/2016/089.79Rights
0378-4754/© 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rightsreserved.
Licencia CC-BY-NC-ND
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- IMAC_Articles [122]
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