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Iterative Methods for Linear and Nonlinear Equations

Iterative Methods for Linear and Nonlinear Equations

$71.00 (P)

Part of Frontiers in Applied Mathematics

  • Date Published: January 1987
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898713527

$ 71.00 (P)
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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  • 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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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898713527
    • length: 180 pages
    • dimensions: 253 x 177 x 9 mm
    • weight: 0.337kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    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.

  • Author

    C. T. Kelley

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