논문KCI 등재
ON THE RADIUS OF CONVERGENCE OF SOME NEWTON{TYPE METHODS IN BANACH SPACES
한국수학교육학회|2011.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제3호|pp. 219-230
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초록
We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.
Abstract
We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.
참고문헌 (12)
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- Proinov, P.D., "General local convergence theory for a class of iterative processes and its applications to Newton's method", J. Complexity, 25, pp.38~62 (2009)
- Rheinboldt, W.C., "An adaptative continuation process for solving systems of nonlinear equations", Polish Acad. of Sciences, Banach Ctr. Publ, 3, pp.129~142 (1977)
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관련 논문AI추천
CONCERNING THE RADII OF CONVERGENCE FOR ACERTAIN CLASS OF NEWTON-LIKE METHODSIoannis K. Argyros한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제1호CONVERGENCE THEOREMS FOR NEWTON'S AND MODIFIED NEWTON'S METHODSIoannis K. Argyros한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호A COMPARATIVE STUDY BETWEEN CONVERGENCE RESULTS FOR NEWTON'S METHODIoannis K. Argyros, Said Hilout한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제4호On the solution of nonlinear equations containing a non-differentiable termIoannis K. Argyros영남수학회 · East Asian Mathematical Journal2008 · 제24권 제3호ON THE CONVERGENCE OF NEWTON'S METHOD ANDLOCALLY H？OLDERIAN OPERATORSIoannis K. Argyros한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACESAngel Alberto Magrenan, Ioannis Konstantinos Argyros, Santhosh George대한수학회 · 대한수학회지2015 · 제52권 제1호
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