The Theory and Applications of Iteration Methods

ISBN-13: 9780367651015 / Angielski / Twarda / 2022 / 452 str.

Ioannis K. Argyros

Opis

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The new edition is completely updated and continues to present the state-of-the-art theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used.

Spis treści

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.