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  • © 2000

Matrix Iterative Analysis

Authors:

  • A monograph by a famous numerical analyst

  • A classic in a revised and expanded edition

  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 27)

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  • ISBN: 978-3-642-05156-2
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Softcover Book EUR 164.99
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Hardcover Book EUR 153.99
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Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
  2. Matrix Properties and Concepts

    • Richard S. Varga
    Pages 1-30
  3. Nonnegative Matrices

    • Richard S. Varga
    Pages 31-62
  4. Basic Iterative Methods and Comparison Theorems

    • Richard S. Varga
    Pages 63-110
  5. Successive Overrelaxation Iterative Methods

    • Richard S. Varga
    Pages 111-148
  6. Semi-Iterative Methods

    • Richard S. Varga
    Pages 149-182
  7. Alternating-Direction Implicit Iterative Methods

    • Richard S. Varga
    Pages 235-274
  8. Estimation of Acceleration Parameters

    • Richard S. Varga
    Pages 313-327
  9. Back Matter

    Pages 329-358

About this book

This is the softcover reprint of a very popular hardcover edition, a revised version of the first edition, originally published by Prentice Hall in 1962 and regarded as a classic in its field. In some places, newer research results, e.g. results on weak regular splittings, have been incorporated in the revision, and in other places, new material has been added in the chapters, as well as at the end of chapters, in the form of additional up-to-date references and some recent theorems to give the reader some newer directions to pursue. The material in the new chapters is basically self-contained and more exercises have been provided for the readers. While the original version was more linear algebra oriented, the revision attempts to emphasize tools from other areas, such as approximation theory and conformal mapping theory, to access newer results of interest. The book should be of great interest to researchers and graduate students in the field of numerical analysis.

Keywords

  • Algebra
  • Gerschgorin circles
  • Matrix
  • Perron-Frobenius theory
  • calculus
  • iterative methods
  • linear algebra
  • numerical analysis
  • semi-iterative methods
  • matrix theory

Authors and Affiliations

  • Dept. of Mathematical Sciences, Kent State University, Kent, USA

    Richard S. Varga

Bibliographic Information

  • Book Title: Matrix Iterative Analysis

  • Authors: Richard S. Varga

  • Series Title: Springer Series in Computational Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-05156-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Hardcover ISBN: 978-3-540-66321-8Published: 17 November 1999

  • Softcover ISBN: 978-3-642-05154-8Published: 21 December 2009

  • eBook ISBN: 978-3-642-05156-2Published: 05 December 2009

  • Series ISSN: 0179-3632

  • Series E-ISSN: 2198-3712

  • Edition Number: 2

  • Number of Pages: X, 358

  • Additional Information: Originally published by Prentice Hall, 1962

  • Topics: Algebra, Numerical Analysis, Linear Algebra

Buying options

eBook EUR 117.69
Price includes VAT (Finland)
  • ISBN: 978-3-642-05156-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book EUR 164.99
Price includes VAT (Finland)
  • ISBN: 978-3-642-05154-8
  • Dispatched in 3 to 5 business days
  • Exclusive offer for individuals only
  • Free shipping worldwide
    See shipping information.
  • Tax calculation will be finalised during checkout
Hardcover Book EUR 153.99
Price includes VAT (Finland)
  • ISBN: 978-3-540-66321-8
  • Dispatched in 3 to 5 business days
  • Exclusive offer for individuals only
  • Free shipping worldwide
    See shipping information.
  • Tax calculation will be finalised during checkout