| dc.contributor.author |
Cadenas Román, Carlos Eduardo |
|
| dc.date.accessioned |
2020-01-06T15:06:06Z |
|
| dc.date.available |
2020-01-06T15:06:06Z |
|
| dc.date.issued |
2017-09-26 |
|
| dc.identifier.citation |
Cadenas, C. (2017). A family of Newton-Chebyshev type methods to find simple roots of nonlinear equations and their dynamics. Communications in Numerical Analysis 2017 No. 2. pp.172-185 |
|
| dc.identifier.issn |
2193-4215 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/8393 |
|
| dc.identifier.uri |
doi:10.5899/2017/cna-00323 |
|
| dc.description.abstract |
In this work, a new family of Newton-Chebyshev type methods for solving nonlinear equations is presented. The dynamics of the Newton-Chebyshev family for the class of quadratic polynomials is analyzed 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 |
Nonlinear equations |
es_ES |
| dc.subject |
Newton’s method |
es_ES |
| dc.subject |
Chebyshev’s method |
es_ES |
| dc.subject |
Order of convergence |
es_ES |
| dc.subject |
Dynamic |
es_ES |
| dc.subject |
Quadratic polynomials |
es_ES |
| dc.subject |
Newton-Chebyshev family |
es_ES |
| dc.title |
A family of Newton-Chebyshev type methods to find simple roots of nonlinear equations and their dynamics |
es_ES |
| dc.type |
Article |
es_ES |
