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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2007.1
- 수록면
- 203 - 221 (19page)
이용수
초록· 키워드
오류제보하기
We introduce a new two-point iterative method to approximate solu-tions of nonlinear operator equations. The method uses only divided dierences oforder one, and two previous iterates. However in contrast to the Secant methodwhich is of order 1.618..., our method is of order two. A local and a semilocalconvergence analysis is provided based on the majorizing principle. Finally themonotone convergence of the method is explored on partially ordered topologicalspaces. Numerical examples are also provided where our results compare favorablyto earlier ones [1], [4], [5], [19].
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참고문헌 (20)
참고문헌 신청
/ 1953 / An analog of the process of tangent hyperbolas for general functionalequations
/ 1964 / Iteration methods with divided di erences of the second order
/ 1967 / Newton's method for convex operators in partially ordered spaces.SIAM J. Numer. Anal. 4
/ 1970. / Iterative Solution of Nonlinear Equations in SeveralVariables. Academic Press
/ 1973 / A new high order method of regular falsi type for computinga root of an equation
/ 1964 / Iteration methods with divided di erences of the second order
/ 1967 / Newton's method for convex operators in partially ordered spaces.SIAM J. Numer. Anal. 4
/ 1970. / Iterative Solution of Nonlinear Equations in SeveralVariables. Academic Press
/ 1973 / A new high order method of regular falsi type for computinga root of an equation
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