Name
Abstract | ||
|---|---|---|
For a nonlinear equation f(x)=0 having a multiple root we consider Steffensen’s transformation, T. Using the transformation, say, Fq(x)=Tqf(x) for integer q≥2, repeatedly, we develop higher order iterative methods which require neither derivatives of f(x) nor the multiplicity of the root. It is proved that the convergence order of the proposed iterative method is 1+2q−2 for any equation having a multiple root of multiplicity m≥2. The efficiency of the new method is shown by the results for some numerical examples. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cam.2010.07.024 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
65H05,68W25 | Convergence (routing),Integer,Mathematical optimization,Nonlinear system,Mathematical analysis,Iterative method,Multiplicity (mathematics),Mathematics,Steffensen's method | Journal |
Volume | Issue | ISSN |
235 | 5 | 0377-0427 |
Citations | PageRank | References |
4 | 0.42 | 5 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Beong In Yun | 1 | 86 | 12.55 |