Computational Theory of Iterative Methods

Computational Theory of Iterative Methods on ScienceDirect(Opens new window)
Hardbound, 504 Pages
Published: SEP-2007
ISBN 10: 0-444-53162-9
ISBN 13: 978-0-444-53162-9
Imprint: ELSEVIER


By
Ioannis Argyros, Department of Mathematical Sciences Cameron University, Lawton, OK, USA

Description
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.

Included in series
Studies in Computational Mathematics

Audience:
Primary market(s): Researchers in the USA Secondary market(s): Researchers in Western Europe, South Korea & Japan


 
Last update: 14 Jan 2012