| dc.contributor.author |
Cadenas Román, Carlos Eduardo |
|
| dc.date.accessioned |
2020-01-13T14:43:30Z |
|
| dc.date.available |
2020-01-13T14:43:30Z |
|
| dc.date.issued |
2018 |
|
| dc.identifier.citation |
Cadenas, C. (2018). Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots. Punjab University Journal of Mathematics. Vol. 50(1), 2018. pp. 15-21 |
|
| dc.identifier.issn |
1016-2526 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/8399 |
|
| dc.description.abstract |
In this paper we give some geometric constructions of variations of Newton’s method, based on ideas of Schr¨oder, for the case that roots are multiple. A straight line and a polynomial are used to construct the iteration equation when the multiplicity of the root is known. In the case that the multiplicity is unknown another straight line and a rational function are used. Representative figures of an example are given. |
es_ES |
| dc.description.uri |
http://pu.edu.pk/images/journal/maths/PDF/Paper-2_50_1_2018.pdf |
|
| dc.language.iso |
en |
es_ES |
| dc.publisher |
Punjab University |
es_ES |
| dc.relation.ispartofseries |
Punjab University Journal of Mathematics, Vol. 50(1), 2018 |
|
| dc.subject |
Geometric construction |
es_ES |
| dc.subject |
Newton’s method |
es_ES |
| dc.subject |
Multiple roots |
es_ES |
| dc.subject |
Nonlinear equations |
es_ES |
| dc.subject |
AMS subject classifications: 65H05 |
|
| dc.subject |
Nonlinear algebraic or transcendental equations |
|
| dc.subject |
Single equations |
|
| dc.title |
Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots |
es_ES |
| dc.type |
Article |
es_ES |
