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Saddle-Point Problems and Their Iterative Solution

  • Miroslav Rozložník
Textbook

Part of the Nečas Center Series book series (NECES)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Miroslav Rozložník
    Pages 1-7
  3. Miroslav Rozložník
    Pages 21-31
  4. Miroslav Rozložník
    Pages 33-39
  5. Miroslav Rozložník
    Pages 41-48
  6. Miroslav Rozložník
    Pages 49-68
  7. Miroslav Rozložník
    Pages 69-78
  8. Miroslav Rozložník
    Pages 79-101
  9. Miroslav Rozložník
    Pages 103-130
  10. Back Matter
    Pages 131-136

About this book

Introduction

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.

Keywords

saddle point problems iterative solution direct methods preconditioning numerical stability potential fluid flow problem

Authors and affiliations

  • Miroslav Rozložník
    • 1
  1. 1.Institute of MathematicsCzech Academy of SciencesPragueCzech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-01431-5
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-01430-8
  • Online ISBN 978-3-030-01431-5
  • Series Print ISSN 2523-3343
  • Series Online ISSN 2523-3351
  • Buy this book on publisher's site