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Computational Theory of Iterative Methods: Volume 15

Computational Theory of Iterative Methods: Volume 15

Hardcover

Series: Studies in Computational Mathematics, Book 15

Technology & EngineeringGeneral ComputersGeneral Mathematics

ISBN10: 0444531629
ISBN13: 9780444531629
Publisher: Elsevier Science Pub Co
Published: Oct 1 2007
Pages: 504
Weight: 3.31
Height: 1.04 Width: 6.49 Depth: 9.68
Language: English
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.

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General Mathematics