Iterative Methods for Linear and Nonlinear Equations

ISBN-10: 0898713528

ISBN-13: 9780898713527

Edition: 1995

Authors: C. T. Kelley
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Description: 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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Book details

List price: $45.50
Copyright year: 1995
Publisher: Society for Industrial and Applied Mathematics
Binding: Paperback
Pages: 180
Size: 7.00" wide x 10.25" long x 0.50" tall
Weight: 0.682
Language: English

C.T. Kelley is a Professor in the Department of Mathematics and Center for Research in Scientific Computation at North Carolina State University. He is a member of the editorial board of the SIAM Journal on Optimization, and the SIAM Journal on Numerical Analysis and is the author of over 100 papers and proceedings articles on numerical and computational mathematics.

Preface
How to Get the Software
Linear Equations
Basic Concepts and Stationary Iterative Methods
Conjugate Gradient Iteration
GMRES Iteration
Nonlinear Equations
Basic Concepts and Fixed Point Iteration
Newton's Method
Inexact Newton Methods
Broyden's Method
Global Convergence
Bibliography
Index
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