Sinossi
This book focuses on a small number of methods and treats them in depth.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Descrizione del libro
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.
Contenuti
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Iterative Methods for Linear and Nonlinear Equations (Frontiers in Applied Mathematics, Series Number 18)
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Society for Industrial and Applied Mathematics, 1995
ISBN 10: 0898713528
ISBN 13: 9780898713527
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Iterative Methods for Linear and Nonlinear Equations (Frontiers in Applied Mathematics, Series Number 18)
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Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713528
ISBN 13: 9780898713527
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Iterative Methods for Linear and Nonlinear Equations
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Iterative Methods for Linear and Nonlinear Equations
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Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713528
ISBN 13: 9780898713527
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Iterative Methods for Linear and Nonlinear Equations: Series Number 18 (Frontiers in Applied Mathematics, Series Number 18)
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Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713528
ISBN 13: 9780898713527
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Iterative Methods for Linear and Nonlinear Equations
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Iterative Methods for Linear and Nonlinear Equations (Frontiers in Applied Mathematics, Series Number 18)
Editore:
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713528
ISBN 13: 9780898713527
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Iterative Methods for Linear and Nonlinear Equations
Editore:
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713528
ISBN 13: 9780898713527
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Paperback. Condizione: New. This book is devoted to giving a modern view of iterative methods for solving linear and nonlinear equations, which are the basis for many, if not most, of the models of phenomena in science and engineering; their efficient numerical solution is critical to progress in these areas. The text provides motivating examples mainly from boundary value problems with partial differential equations, and many of the chapters contain links to MATLAB code, which is provided per anonymous ftp by the author.This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, considerable material on linear equations has been incorporated. It 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.Examples, methods, and algorithmic choices are based on applications to infinite dimensional problems such as partial differential equations and integral equations. The analysis and proof techniques are constructed with the infinite dimensional setting in mind and the computational examples and exercises are based on the MATLAB environment. Codice articolo LU-9780898713527
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Iterative Methods for Linear and Nonlinear Equations
Editore:
Society for Industrial & Applied Mathematics,U.S., 1987
ISBN 10: 0898713528
ISBN 13: 9780898713527
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