Sharp error bounds for Newton-like methods under weak smoothness assumptions

DOI10.1017/S0004972700030318zbMath0771.47034MaRDI QIDQ3987901

Ioannis K. Argyros

Publication date: 28 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

sharp error boundsnonlinear equations in Banach spacesufficient convergence conditionsNewton-like iterations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Linear spaces of operators (47L05)

Related Items (2)

A Newton-like method for generalized operator equations in Banach spaces ⋮ A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions

Cites Work

• A convergence theorem for Newton-like methods in Banach spaces
• Unified error analysis for Newton-type methods
• Convergence domains of certain iterative methods for solving nonlinear equations
• A Unified Convergence Theory for a Class of Iterative Processes

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