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
We present a local convergence analysis for inexact Newton-like method in a Banach space under weaker Lipschitz condition. The convergence ball is enlarged and the estimates on the error distances are more precise under the same computational cost as in earlier studies such as [6, 7, 11, 18]. Some special cases are considered and applications for solving nonlinear systems using the Newton-arithmetic mean method are improved with the new convergence technique.
목차
등록된 정보가 없습니다.
참고문헌 (19)
참고문헌 신청
S. Amat / 2004 / Adaptive approximation of nonlinear operators / Numer. Funct. Anal. Optim 25:397~405
I. K. Argyros / 2012 / Numerical methods for equations and its applications / CRC Press
I. K. Argyros / 2011 / Weak convergence conditions for inexact Newton- type methods / Appl. Math. Comput 218:2800~2809
I. K. Argyros / 2012 / On the semilocal convergence of a Damped Newton's method / Appl. Math. Comput 219(5):2808~2824
I. K. Argyros / 2012 / Weaker conditions for the convergence of Newton's method / J. complexity 28:364~387
I. K. Argyros / 2012 / Numerical methods for equations and its applications / CRC Press
I. K. Argyros / 2011 / Weak convergence conditions for inexact Newton- type methods / Appl. Math. Comput 218:2800~2809
I. K. Argyros / 2012 / On the semilocal convergence of a Damped Newton's method / Appl. Math. Comput 219(5):2808~2824
I. K. Argyros / 2012 / Weaker conditions for the convergence of Newton's method / J. complexity 28:364~387
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Improved local convergence analysis for a three point method of convergence order 1.839$\dots$
대한수학회보
2019 .01
-
Study of optimal eighth order weighted-Newton methods in Banach spaces
대한수학회논문집
2018 .01
-
Local convergence for some third-order iterative methods under weak conditions
대한수학회지
2016 .01
-
EXPANDING THE APPLICABILITY OF SECANT METHOD WITH APPLICATIONS
대한수학회보
2015 .01
-
ON A LOCAL CHARACTERIZATION OF SOME NEWTON-LIKE METHODS OF R-ORDER AT LEAST THREE UNDER WEAK CONDITIONS IN BANACH SPACES
충청수학회지
2015 .01
-
Extending the applicability of inexact Gauss--Newton method for solving underdetermined nonlinear least squares problems
대한수학회지
2019 .01
-
EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACES
대한수학회지
2015 .01
-
SOME OPTIMAL METHODS WITH EIGHTH-ORDER CONVERGENCE FOR THE SOLUTION OF NONLINEAR EQUATIONS
충청수학회지
2016 .01
-
Equivalent conditions of complete moment convergence and complete integral convergence for NOD sequences
대한수학회보
2017 .01
-
Strong Convergence Theorems by Modified Four Step Itera tive Scheme with Errors for Three Nonexpansive Mappings
Kyungpook Mathematical Journal
2015 .01
-
BOUNDED CONVERGENCE THEOREMS
대한수학회지
2017 .01
-
IMPROVED CONVERGENCE OF STEFFENSEN’S METHOD FOR APPROXIMATING FIXED POINTS OF OPERATORS IN BANACH SPACE
대한수학회지
2017 .01
-
Enlarging the ball of convergence of secant-like methods for non-differentiable operators
대한수학회지
2018 .01
-
A MODIFIED INEXACT NEWTON METHOD
Journal of applied mathematics & informatics
2015 .01
-
응용학문으로서 의류학을 위한 융복합 연구 방향 제안
생활과학연구논총
2023 .04
-
Newton Schulz method for solving nonlinear matrix equation $X^p + {A^*}XA=Q$
대한수학회지
2018 .01
-
Strong Convergence of a Bregman Projection Method for the Solution of Pseudomonotone Equilibrium Problems in Banach Spaces
Kyungpook Mathematical Journal
2024 .03
-
Common fixed point theorems for complex-valued mappings with applications
한국수학논문집
2022 .06
-
Γ-CONVERGENCE FOR AN OPTIMAL DESIGN PROBLEM WITH VARIABLE EXPONENT
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2023 .12
-
Some results of the new iterative scheme in hyperbolic space
대한수학회논문집
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0