On the error estimates of several Newton-like methods

DOI10.1016/S0096-3003(98)10085-1zbMath1023.65052OpenAlexW2049939080MaRDI QIDQ1569105

Zhengda Huang

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10085-1

zbMATH Keywords

convergenceerror estimatesBanach spacenonlinear operator equationNewton-like iteration methodsinformation at initial point

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

Construction of Newton-like iteration methods for solving nonlinear equations ⋮ Homocentric convergence ball of the secant method ⋮ Newton‐like iteration methods for solving non‐linear equations

Cites Work

• A new semilocal convergence theorem for Newton's method
• A note on the Kantorovich theorem for Newton iteration
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• On the method of tangent hyperbolas in Banach spaces
• A construction procedure of iterative methods with cubical convergence
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• A Note on the Convergence of Newton’s Method
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