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Iterative Methods for Linear and Nonlinear Equations

Paperback Engels 1987 9780898713527
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Samenvatting

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.

Specificaties

ISBN13:9780898713527
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:180
Uitgever:Society for Industrial and Applied Mathematics

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Inhoudsopgave

Preface; How to Get the Software; Part I. Linear Equations. 1. Basic Concepts and Stationary Iterative Methods; 2. Conjugate Gradient Iteration; 3. GMRES Iteration; Part II. Nonlinear Equations. 4. Basic Concepts and Fixed Point Iteration; 5. Newton's Method; 6. Inexact Newton Methods; 7. Broyden's Method; 8. Global Convergence; Bibliography; Index.

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€ 69,64
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        Iterative Methods for Linear and Nonlinear Equations