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Iterative Krylov Methods for Large Linear Systems

$67.00 (P)

Part of Cambridge Monographs on Applied and Computational Mathematics

  • Date Published: November 2009
  • availability: In stock
  • format: Paperback
  • isbn: 9780521183703

$ 67.00 (P)

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About the Authors
  • Based on extensive research by Henk van der Vorst, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. Van der Vorst demonstrates how these methods can be derived from basic iteration formulas and how they are related. Focusing on the ideas behind the methods rather than a complete presentation of the theory, the volume includes a substantial amount of references for further reading as well as exercises to help students initially encountering the material.

    • Now in paperback, it incorporates corrections from the author
    • Based on extensive teaching experience
    • Contains numerous exercises and references for further reading
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    Reviews & endorsements

    "The book contains basic material as well as many interesting aspects of iterative methods which may lead to new algorithms. Hence it is of interest to both students and researcher. Moreover, it is very clearly written and hence is a very good tool to use for teaching both undergraduate and postgraduate courses for mathematicians, computer scientists and engineers."
    Melina A. Freitag, Mathematical Reviews

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    Product details

    • Date Published: November 2009
    • format: Paperback
    • isbn: 9780521183703
    • length: 236 pages
    • dimensions: 228 x 152 x 13 mm
    • weight: 0.39kg
    • contains: 50 b/w illus. 65 exercises
    • availability: In stock
  • Table of Contents

    1. Introduction
    2. Mathematical preliminaries
    3. Basic iteration methods
    4. Construction of approximate solutions
    5. The conjugate gradients method
    6. GMRES and MINRES
    7. Bi-conjugate gradients
    8. How serious is irregular convergence?
    9. BI-CGSTAB
    10. Solution of singular systems
    11. Solution of f (A)x = b with Krylov subspace information
    12. Miscellaneous
    13. Preconditioning

  • Author

    Henk A. van der Vorst, Universiteit Utrecht, The Netherlands
    Henk A. van der Vorst is Professor Emeritus in the Mathematical Institute of Utrecht University.

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