Name
Abstract | ||
|---|---|---|
In this work, we introduce an extension of the classical Newton's method for solving non-linear equations. This method is free from second derivative. Similar to Newton's method, the proposed method will only require function and first derivative evaluations. The order of convergence of the introduced method for a simple root is four. Numerical results show that the new method can be of practical interest. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1080/00207160802217201 | Int. J. Comput. Math. |
Keywords | Field | DocType |
classical newton,derivative evaluation,simple root,new iterative method,fourth-order convergence,numerical result,new method,practical interest,non-linear equation,iterative method,newton s method,iteration method,order of convergence,linear equations | Mathematical optimization,Mathematical analysis,Halley's method,Muller's method,Newton's method in optimization,Root-finding algorithm,Local convergence,Mathematics,Newton's method,Secant method,Steffensen's method | Journal |
Volume | Issue | ISSN |
87 | 4 | 0020-7160 |
Citations | PageRank | References |
3 | 0.48 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mehdi Dehghan | 1 | 3022 | 324.48 |
| Masoud Hajarian | 2 | 345 | 24.18 |