학술저널
LOCAL CONVERGENCE RESULTS FOR NEWTON S METHOD
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 2
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2012.05267 - 275 (9 pages)
- 2
We present new results for the local convergence of Newton s method to a unique solution of an equation in a Banach space setting. Under a °exible gamma{type condition [12], [13], we extend the applicability of Newton s method by enlarging the radius and decreasing the ratio of convergence. The results can compare favorably to other ones using Newton{Kantorovich and Lipschitz conditions [3]{[7], [9]{[13]. Numerical examples are also provided
1. Introduction
2. Local convergence analysis of Newton s method (1.2)
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