Name
Abstract | ||
|---|---|---|
The aim of this paper is to present some modifications of Newton's type method for the simultaneous inclusion of all simple complex zeros of a polynomial. Using the concept of the R-order of convergence of mutually dependent sequences, the convergence analysis shows that the convergence rate of the basic method is increased from 3 to 6 using Jarratt's corrections. The proposed method possesses a great computational efficiency since the acceleration of convergence is attained with only few additional calculations. Numerical results are given to demonstrate convergence properties of the considered methods. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1080/00207160802450174 | Int. J. Comput. Math. |
Keywords | Field | DocType |
polynomial zero,convergence property,dependent sequence,improved newton-like method,numerical result,great computational efficiency,additional calculation,convergence rate,basic method,convergence analysis,type method,order of convergence,interval arithmetic | Convergence (routing),Mathematical optimization,Normal convergence,Polynomial,Mathematical analysis,Compact convergence,Convergence tests,Rate of convergence,Cauchy's convergence test,Mathematics,Modes of convergence | Journal |
Volume | Issue | ISSN |
87 | 8 | 0020-7160 |
Citations | PageRank | References |
1 | 0.37 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miodrag S. Petkovic | 1 | 104 | 15.28 |
| Dusan M. Milosevic | 2 | 43 | 14.06 |
| Ivan Petković | 3 | 7 | 2.90 |