Theory and Applications of Iteration Methods

Theory and Applications of Iteration Methods

Argyros, Ioannis K.

Taylor & Francis Ltd

10/2024

452

Mole

9780367653309

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1. The Convergence of Algorithmic Models. 2. The Convergence of Iteration Sequences. 3. Monotone Convergence. 4. Comparison Theorems. 5. Extended Semi-Local Convergence of Newton's Method. 6. Extended local Convergence of Newton's Method. 7. Two Step Methods. 8. Multi Step Methods. 9. Multi Point Methods. 10. High Convergence Order Methods. 11. Special Methods.
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Ordinary Differential Equations;sequence;Minimal Positive Solution;monotone;Variational Inequality Problem;convergence;Sixth Order Scheme;differential;Banach Space;equations;Local Convergence Results;scheme;Semilocal Convergence;newton;Bratu Problem;algorithmic;Local Convergence Analysis;model;Lipschitz Constants;pol;Initial Point;Ferenc Szidarovszky;Local Convergence;COC;Smallest Positive Solution;Ball Convergence;Differentiable Operator;Iteration Method;Multiple Precision Arithmetic;Newton's Method;Lipschitz Type Conditions;Lipschitz Continuity;Lipschitz Conditions;Vice Versa;Banach Lemma;Convergence Analysis