Computational Theory of Iterative Methods
eBook - ePub

Computational Theory of Iterative Methods

  1. 504 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Computational Theory of Iterative Methods

About this book

The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory.- Latest convergence results for the iterative methods - Iterative methods with the least computational cost- Iterative methods with the weakest convergence conditions- Open problems on iterative methods

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Yes, you can access Computational Theory of Iterative Methods by Ioannis Argyros in PDF and/or ePUB format, as well as other popular books in Matemáticas & Análisis matemático. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Studies in Computational Mathematics 15
  5. Copyright page
  6. Dedication
  7. Introduction
  8. Chapter 1: Linear Spaces
  9. Chapter 2: Monotone convergence
  10. Chapter 3: Contractive Fixed Point Theory
  11. Chapter 4: Solving Smooth Equations
  12. Chapter 5: Newton-like methods
  13. Chapter 6: More Results on Newton’s Method
  14. Chapter 7: Equations with Nonsmooth Operators
  15. Chapter 8: Applications of the weaker version of the Newton-Kantorovich theorem
  16. Chapter 9: The Newton-Kantorovich Theorem and Mathematical Programming
  17. Chapter 10: Generalized equations
  18. Chapter 11: Monotone convergence of point to set-mapping
  19. Chapter 12: Fixed points of point-to-set mappings
  20. Chapter 13: Special topics
  21. Bibliography
  22. Appendix A: Glossary of Symbols
  23. Index