지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper, we present a local convergence analysis of a three point method with convergence order 1.839$\dots$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.
목차
등록된 정보가 없습니다.
참고문헌 (26)
참고문헌 신청
S. Amat / 2003 / Geometric constructions of iterative func-tions to solve nonlinear equations / J. Comput. Appl. Math 157(1):197~205
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):374~397
I. K. Argyros / 2007 / Computational Theory of Iterative Methods / Elsevier Publ. Co
I. K. Argyros / 2011 / A semilocal convergence analysis for directional Newton methods / Math. Comp 80(273):327~343
Ioannis Konstantinos Argyros / 2014 / ON THE “TERRA INCOGNITA” FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS / 대한수학회지 51(2):251~266
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):374~397
I. K. Argyros / 2007 / Computational Theory of Iterative Methods / Elsevier Publ. Co
I. K. Argyros / 2011 / A semilocal convergence analysis for directional Newton methods / Math. Comp 80(273):327~343
Ioannis Konstantinos Argyros / 2014 / ON THE “TERRA INCOGNITA” FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS / 대한수학회지 51(2):251~266
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Local convergence for some third-order iterative methods under weak conditions
대한수학회지
2016 .01
-
Study of optimal eighth order weighted-Newton methods in Banach spaces
대한수학회논문집
2018 .01
-
EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACES
대한수학회지
2015 .01
-
THE CONVERGENCE BALL OF INEXACT NEWTON-LIKE METHOD IN BANACH SPACE UNDER WEAK LIPSHITZ CONDITION
충청수학회지
2015 .01
-
EXPANDING THE APPLICABILITY OF SECANT METHOD WITH APPLICATIONS
대한수학회보
2015 .01
-
SOME OPTIMAL METHODS WITH EIGHTH-ORDER CONVERGENCE FOR THE SOLUTION OF NONLINEAR EQUATIONS
충청수학회지
2016 .01
-
IMPROVED CONVERGENCE OF STEFFENSEN’S METHOD FOR APPROXIMATING FIXED POINTS OF OPERATORS IN BANACH SPACE
대한수학회지
2017 .01
-
응용학문으로서 의류학을 위한 융복합 연구 방향 제안
생활과학연구논총
2023 .04
-
Equivalent conditions of complete moment convergence and complete integral convergence for NOD sequences
대한수학회보
2017 .01
-
Common fixed point theorems for complex-valued mappings with applications
한국수학논문집
2022 .06
-
Test for Price Convergence across Provinces in China
Journal of The Korean Data Analysis Society
2019 .01
-
융합디자인 특징이 반영된 슬로 패션 디자인 연구
복식
2015 .02
-
AN ACCELERATING SCHEME OF CONVERGENCE TO SOLVE FUZZY NON-LINEAR EQUATIONS
순수 및 응용수학
2017 .01
-
Strong Convergence Theorems by Modified Four Step Itera tive Scheme with Errors for Three Nonexpansive Mappings
Kyungpook Mathematical Journal
2015 .01
-
ON COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR A CLASS OF RANDOM VARIABLES
대한수학회지
2017 .01
-
Rough $\Delta \mathcal{I}_{2}$-convergence of double sequences
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2020 .01
-
Solvability for a system of generalized nonlinear ordered variational inclusions in ordered Banach spaces
한국수학논문집
2017 .01
-
Regularization for the problem of finding a solution of a system of nonlinear monotone ill-posed equations in Banach spaces
대한수학회지
2018 .01
-
Panel Data Analysis of Income Convergence in China
Journal of The Korean Data Analysis Society
2017 .01
-
BROYDEN’S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES
대한수학회지
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0