Name
Title | ||
|---|---|---|
A higher order family for the simultaneous inclusion of multiple zeros of polynomials |
Abstract | ||
|---|---|---|
Starting from a suitable fixed point relation, a new family of iterative methods for the simultaneous inclusion of multiple complex zeros in circular complex arithmetic is constructed. The order of convergence of the basic family is four. Using Newton’s and Halley’s corrections, we obtain families with improved convergence. Faster convergence of accelerated methods is attained with only few additional numerical operations, which provides a high computational efficiency of these methods. Convergence analysis of the presented methods and numerical results are given. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s11075-004-8199-0 | Numerical Algorithms |
Keywords | Field | DocType |
zeros of polynomials,inclusion of zeros,simultaneous methods,convergence rate,circular arithmetic | Convergence (routing),Mathematical optimization,Normal convergence,Algebra,Iterative method,Mathematical analysis,Compact convergence,Convergence tests,Rate of convergence,Fixed point,Mathematics,Modes of convergence | Journal |
Volume | Issue | ISSN |
39 | 4 | 1017-1398 |
Citations | PageRank | References |
6 | 0.73 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miodrag S. Petković | 1 | 156 | 17.83 |
| Dušan M. Milošević | 2 | 8 | 1.83 |