Some projection methods for the approximation of implicit functions

DOI10.1016/0893-9659(90)90002-SzbMath0722.65030MaRDI QIDQ756378

Ioannis K. Argyros

Publication date: 1990

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

error estimatesprojection operatorsBanach spaceNewton-Kantorovich methodimplicit functions

Mathematics Subject Classification ID

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

Cites Work

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• Sharp error bounds for Newton's process
• A note on a posteriori error bound of zabrejko and nguen for zincenko's iteration
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• On Newton's method and nondiscrete mathematical induction
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• A Unified Convergence Theory for a Class of Iterative Processes

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