Optimal radius of convergence of interpolatory iterations for operator equations

DOI10.1007/BF02189351zbMath0447.65027OpenAlexW2065806665MaRDI QIDQ1146501

J. F. Traub, Henryk Woźniakowski

Publication date: 1980

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182427

zbMATH Keywords

Banach spacesimple zerodirect interpolatory iterationsnon-linear operatoroptimal radius of convergence

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Optimal solution of nonlinear equations, Convergence and complexity of interpolatory-Newton iteration in a Banach space, The strength of nonstationary iteration

Cites Work

• The zeros of the partial sums of the exponential function
• Maximal Stationary Iterative Methods for the Solution of Operator Equations
• Fast Algorithms for Manipulating Formal Power Series
• Convergence and Complexity of Newton Iteration for Operator Equations
• Optimal Order of One-Point and Multipoint Iteration
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