scientific article

zbMath0771.47035MaRDI QIDQ4018783

Ioannis K. Argyros

Publication date: 16 January 1993

Full work available at URL: https://eudml.org/doc/32341

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

error boundsNewton-like method to approximate implicit functions in a Banach space

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Derivatives of functions in infinite-dimensional spaces (46G05) Linear spaces of operators (47L05)

Cites Work

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• A convergence theorem for Newton-like methods in Banach spaces
• Sharp error bounds for Newton's process
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Newton-like methods under mild differentiability conditions with error analysis
• Convergence domains of certain iterative methods for solving nonlinear equations
• A Unified Convergence Theory for a Class of Iterative Processes
• A Note on the Convergence of Newton’s Method

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