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  • Textbook
  • © 2018

Saddle-Point Problems and Their Iterative Solution

Birkhäuser
  • Reviews classical results on the solution of saddle problems that appeared in books, articles and proceedings papers
  • Covers recent results on this subject achieved by the author and his colleagues
  • Presents a case study of the application of theoretical results in underground water flow modeling

Part of the book series: Nečas Center Series (NECES)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introductory Remarks

    • Miroslav Rozložník
    Pages 1-7
  3. Properties of Saddle-Point Matrices

    • Miroslav Rozložník
    Pages 21-31
  4. Solution Approaches for Saddle-Point Problems

    • Miroslav Rozložník
    Pages 33-39
  5. Direct Solution of Saddle-Point Problems

    • Miroslav Rozložník
    Pages 41-48
  6. Iterative Solution of Saddle-Point Problems

    • Miroslav Rozložník
    Pages 49-68
  7. Preconditioners for Saddle-Point Problems

    • Miroslav Rozložník
    Pages 69-78
  8. Numerical Behavior of Saddle-Point Solvers

    • Miroslav Rozložník
    Pages 79-101
  9. Back Matter

    Pages 131-136

About this book

This book provides essential lecture notes on solving large linear saddle-point systems, which arise in a wide range of applications and often pose computational challenges in science and engineering. The focus is on discussing the particular properties of such linear systems, and a large selection of algebraic methods for solving them, with an emphasis on iterative methods and preconditioning. The theoretical results presented here are complemented by a case study on potential fluid flow problem in a real world-application. This book is mainly intended for students of applied mathematics and scientific computing, but also of interest for researchers and engineers working on various applications. It is assumed that the reader has completed a basic course on linear algebra and numerical mathematics.

Authors and Affiliations

  • Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic

    Miroslav Rozložník

About the author

Miroslav Rozložník, Czech Academy of Science, Praha, Czech Republic

Bibliographic Information

  • Book Title: Saddle-Point Problems and Their Iterative Solution

  • Authors: Miroslav Rozložník

  • Series Title: Nečas Center Series

  • DOI: https://doi.org/10.1007/978-3-030-01431-5

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Softcover ISBN: 978-3-030-01430-8Published: 27 November 2018

  • eBook ISBN: 978-3-030-01431-5Published: 19 November 2018

  • Series ISSN: 2523-3343

  • Series E-ISSN: 2523-3351

  • Edition Number: 1

  • Number of Pages: XIV, 136

  • Number of Illustrations: 25 b/w illustrations, 12 illustrations in colour

  • Topics: Numerical Analysis

Buy it now

Buying options

Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access