Abstract | ||
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In this work, a class of iterative Newton’s methods, known as power mean Newton’s methods, is proposed. Some known results can be regarded as particular cases. It is shown that the order of convergence of the proposed methods is 3. Numerical results are given to verify the theory and demonstrate the performance. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1016/j.aml.2006.09.010 | Applied Mathematics Letters |
Keywords | Field | DocType |
Variants of Newton’s method,Simple roots,Power mean,Cubic convergence,Generalization | Convergence (routing),Mathematical optimization,Mathematical analysis,Iterative method,Newton's method in optimization,Rate of convergence,Local convergence,Third order convergence,Mathematics,Calculus,Newton's method,Steffensen's method | Journal |
Volume | Issue | ISSN |
20 | 9 | 0893-9659 |
Citations | PageRank | References |
4 | 0.46 | 3 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Xiaojian Zhou | 1 | 74 | 9.19 |