Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Iterative Krylov Methods for Large Linear Systems
  • Cited by 467
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      April 2003
      ISBN:
      9780511615115
      9780521183703
      DOI:
      https://doi.org/10.1017/CBO9780511615115
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.39kg, 236 Pages
      • Subjects:
      Mathematics, Computational Science, Numerical Analysis and Computational Science
      Series:
      Cambridge Monographs on Applied and Computational Mathematics (13)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics, Computational Science, Numerical Analysis and Computational Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (13)
    Information

    Book description

    Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a given class of problems. The emphasis is on the main ideas and how they have led to efficient solvers such as CG, GMRES, and BI-CGSTAB. The author also explains the main concepts behind the construction of preconditioners. The reader is encouraged to gain experience by analysing numerous examples that illustrate how best to exploit the methods. The book also hints at many open problems and as such it will appeal to established researchers. There are many exercises that motivate the material and help students to understand the essential steps in the analysis and construction of algorithms.

    Reviews

    'Henk van der Vorst is one of the mathematicians who shaped this new area from its beginning until present and he has now published the present book in CUP's series Cambridge Monographs on Applied and Computational Mathematics. … the book will be particularly helpful in introductory university courses on numerical linear algebra. It strikes a neat balance between mathematical rigour and hands-on approaches for practical use and is therefore very well suited for courses with a mixed audience of mathematicians, engineers, and physicists. However, even the practitioner will find many tips and tricks and the more mathematically inclined can use this readable book with its 226 bibliographical items as a starting point to dive deeper into more specialized literature.'

    Source: Zeitschrift für Angewandte Mathematik und Physik

    ‘Anyone interested in numerical analysis and in applied mathematics should read this book. It is absolutely splendid.’

    Source: Numerical Algorithms

    ‘The book is useful and a source of valuable information …’

    Source: Zentralblatt für Mathematik

    ‘This is a beautiful book … Reading and reviewing this book has been a most pleasant experience. I strongly recommend this text to colleagues and students.’

    Source: Zeitschrift für Angewandte Mathematik und Mechanik

    '… a compact but comprehensive introduction to iterative methods, also taking account of computer methods.'

    Source: Mathematika

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.