| dc.contributor.author |
Cadenas Román, Carlos Eduardo |
|
| dc.date.accessioned |
2020-01-06T15:12:35Z |
|
| dc.date.available |
2020-01-06T15:12:35Z |
|
| dc.date.issued |
2017-09-26 |
|
| dc.identifier.citation |
Cadenas Román, C. (2017). A family of Newton-Halley type methods to find simple roots of nonlinear equations and their dynamics. Communications in Numerical Analysis 2017 No. 2. pp.157-171 |
|
| dc.identifier.issn |
2193-4215 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/8394 |
|
| dc.description.abstract |
In this work a new family of Newton-Halley type methods for solving nonlinear equations is presented. the dynamics of the Newton-Halley family is analyzed for the class of quadratic polynomials and the convergence is established. We find the fixed and critical points. The stable and unstable behaviors are studied. The parameter space associated with the family is studied and finally, some dynamical planes that show different aspects of the dynamics of this family are presented. |
es_ES |
| dc.language.iso |
en |
es_ES |
| dc.publisher |
International Scientific Publications and Consulting Services (ISPACS) |
|
| dc.relation.ispartofseries |
Communications in Numerical Analysis 2017 No.2, 2017 |
|
| dc.subject |
Newton’s method |
es_ES |
| dc.subject |
Halley’smethod |
es_ES |
| dc.subject |
Order of convergence |
es_ES |
| dc.subject |
Nonlinear equations |
es_ES |
| dc.subject |
Dynamic |
es_ES |
| dc.subject |
Quadratic polynomials |
es_ES |
| dc.subject |
Newton-Halley family |
es_ES |
| dc.title |
A family of Newton-Halley type methods to find simple roots of nonlinear equations and their dynamics |
es_ES |
| dc.type |
Article |
es_ES |
