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A class of Newton’s methods with third-order convergence

✍ Scribed by Xiaojian Zhou

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
162 KB
Volume
20
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

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