Advances in Iterative Methods for Nonlinear Equations
Editors: Amat, Sergio, Busquier, Sonia (Eds.)
Free Preview- Provides an overview on the construction and selection of iterative methods
- Addresses both numerical and theoretical analysis of iterative methods
- Features accompanying tables and figures
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- About this book
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This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
- Table of contents (10 chapters)
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Introduction
Pages 1-3
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An Overview on Steffensen-Type Methods
Pages 5-21
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Newton’s Method for Convex Optimization
Pages 23-56
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Inexact Newton Methods on Riemannian Manifolds
Pages 57-78
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On the Design of Optimal Iterative Methods for Solving Nonlinear Equations
Pages 79-111
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Table of contents (10 chapters)
- Download Sample pages 1 PDF (335.2 KB)
- Download Table of contents PDF (58.5 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Advances in Iterative Methods for Nonlinear Equations
- Editors
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- Sergio Amat
- Sonia Busquier
- Series Title
- SEMA SIMAI Springer Series
- Series Volume
- 10
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-39228-8
- DOI
- 10.1007/978-3-319-39228-8
- Hardcover ISBN
- 978-3-319-39227-1
- Softcover ISBN
- 978-3-319-81845-0
- Series ISSN
- 2199-3041
- Edition Number
- 1
- Number of Pages
- V, 286
- Number of Illustrations
- 4 b/w illustrations, 113 illustrations in colour
- Topics
