Some efficient methods for enclosing simple zeros of nonlinear equations
✍ Scribed by Götz E. Alefeld; Florian A. Potra
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 568 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0006-3835
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📜 SIMILAR VOLUMES
This paper presents a new class of exponential iteration methods with global convergence for finding a simple root x \* of a nonlinear equation f (x) = 0 in the interval [a, b]. The new methods are shown to be quadratically convergent. Both the sequences of diameters {b na n } and the iterative sequ
In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration t