scientific article

zbMATH Open1111.37015MaRDI QIDQ3428208

Ioannis K. Argyros

Publication date: 27 March 2007

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zbMATH Keywords

Newton's methodBanach spaceFréchet derivativediscrete dynamical systemsshadowing lemmapseudo-orbitsNewton-Kantorovich hypothesisshadowing orbits

Mathematics Subject Classification ID

Newton-type methods (49M15) Iterative procedures involving nonlinear operators (47J25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical solutions to equations with nonlinear operators (65J15) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

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