학술논문
ERROR ANALYSIS OF k-FOLD PSEUDO-HALLEY S METHOD FINDING A SIMPLE ZERO
이용수 1
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Young Ik Kim
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 20, No. 1, 11~21쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2007.03.30
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국문 초록
영문 초록
Given a nonlinear function f : R ! R that has a sim-ple real zero ？？, a new numerical method to be called k-fold pseudo-Halley s method is proposed and it s error analysis is under inves-tigation to con¯rm the convergence behavior near ？？. Under the assumption that f is su±ciently smooth in a small neighborhood of ？？, the order of convergence is found to be at least k+3. In addition, the corresponding asymptotic error constant is explicitly expressed in terms of k, ？？ and f as well as the derivatives of f. A zero-¯nding algorithm is written and has been successfully implemented for numerous examples with Mathematica.
목차
1. Introduction and preliminaries
2. Error analysis
3. Numerical experiments with remarks
References
키워드
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