Computational Theory of Iterative Methods

Ioannis Argyros

ISBN 10: 0444531629 / ISBN 13: 9780444531629

Published by Elsevier Science & Technology Okt 2007, 2007

About this Item

Neuware - 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.

Seller Inventory # 9780444531629

Bibliographic Details

• Title: Computational Theory of Iterative Methods
• Publisher: Elsevier Science & Technology Okt 2007
• Publication Date: 2007
• Language: English
• ISBN 10: 0444531629
• ISBN 13: 9780444531629
• Binding: Buch
• Condition: Neu
• Dimensions: 234W x 156H x 27D millimeters 234 millimeters width by 156 millimeters height by 27 millimeters depth
• Weight: 879 grams

About this title

Synopsis

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

About the Author

Professor Ioannis Argyros (Department of Mathematical Sciences Cameron University, Lawton, OK, USA) has published 329 indexed documents and 25 books. Argyros is interested in theories of inequalities, operators, computational mathematics and iterative methods, and banach spaces.