학술저널
ASYMPTOTIC ERROR ANALYSIS OF k-FOLD PSEUDO-NEWTON S METHOD LOCATING A SIMPLE ZERO
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 4
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2008.12483 - 492 (10 pages)
- 0
The k-fold pseudo-Newton s method is proposed and its convergence behavior is investigated near a simple zero. The order of convergence is proven to be at least k+2. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. High-precison numerical results are successfully imple-mented via Mathematica and illustrated for various examples.
1. A high-order Newton-type iterative method
2. Convergence analysis
3. Algorithm and numerical results
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