학술저널
THE CONVERGENCE BALL OF INEXACT NEWTON-LIKE METHOD IN BANACH SPACE UNDER WEAK LIPSHITZ CONDITION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 1
-
2015.021 - 12 (12 pages)
- 2
We present a local convergence analysis for inexact Newton-like method in a Banach space under weaker Lipschitz condition. The convergence ball is enlarged and the estimates on the error distances are more precise under the same computational cost as in earlier studies such as [6, 7, 11, 18]. Some special cases are considered and applications for solving nonlinear systems using the Newton-arithmetic mean method are improved with the new convergence technique.
1. Introduction
2. Local convergence of (INLM)
3. Special cases and applications
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