학술논문
ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON’S METHOD LOCATING A
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- Young Ik Kim
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 2, 1~7쪽, 전체 7쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2006.06.30
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국문 초록
영문 초록
By combining the classical Newton’s method with the pseudo-secant method, pseudo-secant-Newton’s method is constructed and its order and rate of convergence are investigated. Given a function f : R → R that has a simple real zero α and is sufficiently smooth in a small neighborhood of α, the convergence behavior is analyzed near α for pseudo-secant-Newton’s method. The order of convergence is shown to be cubic and the rate of convergence is
proven to be
. Numerical experiments show the validity of the theory presented here and are confirmed via high-precision programming in Mathematica.
목차
1.. Introduction and Preliminaries
2.. Algorithm, numerical results and discussions
키워드
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