Overview
Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
Full Product Details
Author: Krzysztof A. Sikorski (Department of Computer Science, Department of Computer Science, University of Utah, Salt Lake City)
Publisher: Oxford University Press Inc
Imprint: Oxford University Press Inc
Dimensions:
Width: 23.40cm
, Height: 1.60cm
, Length: 15.60cm
Weight: 0.535kg
ISBN: 9780195106909
ISBN 10: 0195106903
Pages: 256
Publication Date: 15 February 2001
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
The value of the book is enhanced by the inclusion of 'annotations' for each chapter, giving the provenance of the various methods and theorems, with references to an extensive bibliography. The Mathematical Gazette This book provides an excellent overview of optimal computational methods for the solution of nonlinear equations, for fixed points of contractive and noncontractive mappings, as well as for the topolgical degree ... I believe it is an excellent book, and thus strongly recommend it. SIAM Review
The volume under consideration studies the complexity of the following nonlinear problems in the worst-case setting: approximating the solution of nonlinear equations, approximating fixed points, and calculating topological degree. . . . At the end of each chapter, there are historical annotations and a bibliography. The author is a leading researcher in these areas, and well qualified to write such a monograph. The book is complete, with proofs given in full detail. . . . [T]his monograph will be a useful tool, both for those who wish to learn about complexity and optimal algorithms for nonlinear equations, as well as for those who are already working in this area. -- Mathematical Reviews The volume under consideration studies the complexity of the following nonlinear problems in the worst-case setting: approximating the solution of nonlinear equations, approximating fixed points, and calculating topological degree. . . . At the end of each chapter, there are historical annotations and a bibliography. The author is a leading researcher in these areas, and well qualified to write such a monograph. The book is complete, with proofs given in full detail. . . . [T]his monograph will be a useful tool, both for those who wish to learn about complexity and optimal algorithms for nonlinear equations, as well as for those who are already working in this area. -- Mathematical Reviews
"""The volume under consideration studies the complexity of the following nonlinear problems in the worst-case setting: approximating the solution of nonlinear equations, approximating fixed points, and calculating topological degree. . . . At the end of each chapter, there are historical annotations and a bibliography. The author is a leading researcher in these areas, and well qualified to write such a monograph. The book is complete, with proofs given in full detail. . . . [T]his monograph will be a useful tool, both for those who wish to learn about complexity and optimal algorithms for nonlinear equations, as well as for those who are already working in this area."" -- Mathematical Reviews ""The volume under consideration studies the complexity of the following nonlinear problems in the worst-case setting: approximating the solution of nonlinear equations, approximating fixed points, and calculating topological degree. . . . At the end of each chapter, there are historical annotations and a bibliography. The author is a leading researcher in these areas, and well qualified to write such a monograph. The book is complete, with proofs given in full detail. . . . [T]his monograph will be a useful tool, both for those who wish to learn about complexity and optimal algorithms for nonlinear equations, as well as for those who are already working in this area."" -- Mathematical Reviews"
