Families of Newton-like methods with fourth-order convergence
β Scribed by Jain, Divya
- Book ID
- 120708441
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 117 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0020-7160
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π SIMILAR VOLUMES
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
## Detailed formulae for the convergence coeficients of the interval Newton iteration procedure are given. These are generaIized to iterations satisfJ>ing a weak nonsingular systems property.
In this paper, we present some new modifications of Newton's method for solving non-linear equations. Analysis of convergence shows that these methods have order of convergence five. Numerical tests verifying the theory are given and based on these methods, a class of new multistep iterations is dev