Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces
DOI10.1186/S42787-020-00088-2OpenAlexW3029014702MaRDI QIDQ2660663
Sanjaya Kumar Parhi, Debasis Sharma
Publication date: 31 March 2021
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s42787-020-00088-2
Banach spacelocal convergenceiterative schemesHölder continuity conditionLipschitz continuity condition
Newton-type methods (49M15) Numerical computation of solutions to single equations (65H05) Numerical solutions to equations with nonlinear operators (65J15) Numerical approximation and computational geometry (primarily algorithms) (65D99) Nonlinear operators and their properties (47H99) Error analysis and interval analysis (65G99)
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