Iterative methods improving newton's method by the decomposition method
β Scribed by Changbum Chun
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 418 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
## a b s t r a c t For solving systems of nonlinear equations, we have recently developed a Newton's method to manage issues with inaccurate function values or problems with high computational cost. In this work we introduce a modification of the above method, reducing the total computational cost
Newton's method is based on a linear approximation of the function in a neighborhood of a solution point. It can be demonstrated that the error in the current iteration depends on the norm of second derivative. Instead using a higher-order approximation, the second derivative is used here to transfo