Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations
- 1 February 1990
- journal article
- Published by Springer Nature in Japan Journal of Applied Mathematics
- Vol. 7 (1) , 131-143
- https://doi.org/10.1007/bf03167895
Abstract
No abstract availableKeywords
This publication has 11 references indexed in Scilit:
- Convergence domains of certain iterative methods for solving nonlinear equationsNumerical Functional Analysis and Optimization, 1989
- A convergence theorem for Newton-like methods in Banach spacesNumerische Mathematik, 1987
- A note on a posteriori error bound of zabrejko and nguen for zincenko's iterationNumerical Functional Analysis and Optimization, 1987
- Error bounds for Newton-like methods under Kantorovich type assumptionsJapan Journal of Applied Mathematics, 1986
- A method for finding sharp error bounds for Newton's method under the Kantorovich assumptionsNumerische Mathematik, 1986
- Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related MethodsSIAM Journal on Numerical Analysis, 1979
- Funktionalungleichungen und IterationsverfahrenAequationes mathematicae, 1975
- A Note on the Convergence of Newton’s MethodSIAM Journal on Numerical Analysis, 1974
- Optimal Error Bounds for the Newton–Kantorovich TheoremSIAM Journal on Numerical Analysis, 1974
- A Unified Convergence Theory for a Class of Iterative ProcessesSIAM Journal on Numerical Analysis, 1968