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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 405 - 416 (12page)
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In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modi¯ed Newton's methods. We provide weaker convergence conditions for both methods than before [5]-[7]. Then, we combine Newton's with the modi¯ed Newton's method to approximate locally unique solutions of operator equations. Finer error estimates, a larger convergence domain, and a more precise information on the location of the solution are obtained under the same or weaker hypotheses than before [5]-[7]. The results obtained here improve our earlier ones reported in [4]. Numerical examples are also provided.
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참고문헌 (7)
참고문헌 신청
I.K. Argyros / / A comparison between convergence theorems for Newton's and modi?ed New-ton's methods / submitted for publication
I.K. Argyros / 2004 / A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space / J. Math. Anal. Appl 298 (2) : 374 ~
I.K. Argyros / 2004 / On the Newton-Kantorovich hypothesis for solving equations / J. Comput.Appl. Math 169 : 315 ~ 332
I.K. Argyros / 2007 / Computational theory of iterative methods. Studies in Computational Mathe-matics, 15 / Elsevier Publ. Co
J.M. Gutierrez / 1995 / Accessibility of solutions by New-ton's method / Intern. J. Comput. Math 57 : 239 ~ 247
I.K. Argyros / 2004 / A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space / J. Math. Anal. Appl 298 (2) : 374 ~
I.K. Argyros / 2004 / On the Newton-Kantorovich hypothesis for solving equations / J. Comput.Appl. Math 169 : 315 ~ 332
I.K. Argyros / 2007 / Computational theory of iterative methods. Studies in Computational Mathe-matics, 15 / Elsevier Publ. Co
J.M. Gutierrez / 1995 / Accessibility of solutions by New-ton's method / Intern. J. Comput. Math 57 : 239 ~ 247
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