Dynamics of Newton-like root finding methods
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Dynamics of Newton-like root finding methodsData de publicació
2022Editor
SpringerCita bibliogràfica
Campos, B., Canela, J. & Vindel, P. Dynamics of Newton-like root finding methods. Numer Algor (2022). https://doi.org/10.1007/s11075-022-01474-wTipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
When exploring the literature, it can be observed that the operator obtained when
applying Newton-like root finding algorithms to the quadratic polynomials z2 − c
has the same form regardless of which algorithm has ... [+]
When exploring the literature, it can be observed that the operator obtained when
applying Newton-like root finding algorithms to the quadratic polynomials z2 − c
has the same form regardless of which algorithm has been used. In this paper, we
justify why this expression is obtained. This is done by studying the symmetries of
the operators obtained after applying Newton-like algorithms to a family of degree d
polynomials p(z) = zd −c. Moreover, we provide an iterative procedure to obtain the
expression of new Newton-like algorithms. We also carry out a dynamical study of
the given generic operator and provide general conclusions of this type of methods. [-]
Publicat a
Numerical Algorithms (2022)Entitat finançadora
Universitat Jaume I | Agencia Estatal de Investigación
Codi del projecte o subvenció
UJI-B2019-18 | PGC2018-095896-B-C22 | PID2020-118281GB-C32
Drets d'accés
info:eu-repo/semantics/openAccess
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