Linear and nonlinear systems of equations are the basis for many, if not most, of the models of phenomena in science and engineering, and their efficient numerical solution is critical to progress in these areas. This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated. This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods, incorporation of inexactness and noise into the analysis, new proofs and implementations of Broyden's method, and globalization of inexact Newton methods.
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This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated. This book focuses on a small number of methods and treats them in depth.
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5.0 out of 5 stars
Iterative methods for beginners.,
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This review is from: Iterative Methods for Linear and Nonlinear Equations (Frontiers in Applied Mathematics) (Paperback)
If you want to learn about iterative methods, this is a great introduction. This book essentially has most of it's algorithms written in something close to Matlab pseudocode. Required reading for the uninitiated.
2 of 4 people found the following review helpful:
5.0 out of 5 stars
Iterative Methods for Linear and Nonlinear Equations (Frontiers inApplied Mathematics, Vol. 16),
By "sammathodu" (Norfolk, VA, USA) - See all my reviews
This review is from: Iterative Methods for Linear and Nonlinear Equations (Frontiers in Applied Mathematics) (Paperback)
I recommend this book as a jump start to the arena. This is a comprehenshive book, that includes examples of the subjects discussed and script files in Matlab that are provided online.
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We begin by setting notation and reviewing some ideas from numerical linear algebra that we expect the reader to be familiar with. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Prove Proposition, Prove Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We begin by setting notation and reviewing some ideas from numerical linear algebra that we expect the reader to be familiar with. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Prove Proposition, Prove Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
50
books
cite this book:
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- Nonlinear Equations and Optimisation, Volume 4 (Numerical Analysis 2000) by L.T. Watson on page 42, and page 120
- Vector and Parallel Processing - VECPAR 2000: 4th International Conference, Porto, Portugal, June 21-23, 2000, Selected Papers and Invited Talks (Lecture Notes in Computer Science) by Jose M.L.M., Jack Dongarra, Vincente Hernandez Palma on page 368, and page 515
- Computational Methods for Option Pricing (Frontiers in Applied Mathematics) by Yves Achdou in Front Matter, and Back Matter
- The Finite Element Method for Engineers by Kenneth H. Huebner on page 629
- Fuzzy Control: Synthesis and Analysis by Shehu S. Farinwata on page 200
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