| Title:
|
Local convergence of a one parameter fourth-order Jarratt-type method in Banach spaces (English) |
| Author:
|
Argyros, I. K. |
| Author:
|
González, D. |
| Author:
|
Khattri, S. K. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2016 |
| Pages:
|
289-300 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a local convergence analysis of a one parameter Jarratt-type method. We use this method to approximate a solution of an equation in a Banach space setting. The semilocal convergence of this method was recently carried out in earlier studies under stronger hypotheses. Numerical examples are given where earlier results such as in [Ezquerro J.A., Hernández M.A., {New iterations of $R$-order four with reduced computational cost}, BIT Numer. Math. {49} (2009), 325--342] cannot be used to solve equations but our results can be applied. (English) |
| Keyword:
|
Banach space |
| Keyword:
|
Newton's method |
| Keyword:
|
local convergence |
| Keyword:
|
radius of convergence |
| MSC:
|
65D10 |
| MSC:
|
65D99 |
| idZBL:
|
Zbl 06674880 |
| idMR:
|
MR3554510 |
| DOI:
|
10.14712/1213-7243.2015.171 |
| . |
| Date available:
|
2016-09-22T15:21:35Z |
| Last updated:
|
2018-10-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145834 |
| . |
| Reference:
|
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| Reference:
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