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Numerical Solution of Algebraic Riccati Equations

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Numerical Solution of Algebraic Riccati Equations

Numerical Solution of Algebraic Riccati Equations

Dario A. Bini, Università degli Studi, Pisa
Bruno Iannazzo, Università degli Studi di Perugia, Italy
Beatrice Meini, Università degli Studi, Pisa
February 2012
Paperback
9781611972085
$79.00
USD
Paperback
    Description

    This concise and comprehensive treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars. It is the first book in which nonsymmetric algebraic Riccati equations are treated in a clear and systematic way. Some proofs of theoretical results are simplified and a unified notation is adopted. The book includes a unified discussion of doubling algorithms and a detailed description of all classical and advanced algorithms for solving algebraic Riccati equations and their MATLAB® codes. This will help the reader to gain an understanding of the computational issues and provide ready-to-use implementation of the different solution techniques. Ideal for researchers working in the design and analysis of algorithms and for practitioners who need to understand the available algorithms and software.

    • The first clear and systematic treatment of nonsymmetric algebraic Riccati equations
    • MATLAB® code available for download from the book's webpage
    • A suitable text for any course in advanced numerical linear algebra or advanced numerical analysis

    Product details

    February 2012
    Paperback
    9781611972085
    268 pages
    254 × 178 × 14 mm
    0.47kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • Preface
    • 1. Introduction and preliminaries
    • 2. Theoretical analysis
    • 3. Classical algorithms
    • 4. Structured invariant subspace methods
    • 5. Doubling algorithms
    • 6. Algorithms for large scale problems
    • Appendix: basic properties
    • Listings
    • Notation
    • Bibliography
    • Index.
      • Show more
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    About the authors
      Authors
    • Dario A. Bini , Università degli Studi, Pisa

      Dario A. Bini is Professor of Numerical Analysis at the University of Pisa. He is coauthor of two other books on polynomial and matrix computations and on the numerical solution of Markov chains. He specialises in numerical linear algebra and polynomial computations.

    • Bruno Iannazzo , Università degli Studi di Perugia, Italy

      Bruno Iannazzo is Researcher in Numerical Analysis at the University of Perugia. His main interests are in the field of numerical linear algebra with specific attention to matrix functions and matrix equations.

    • Beatrice Meini , Università degli Studi, Pisa

      Beatrice Meini is Associate Professor at the University of Pisa. She is coauthor of a book on the numerical solution of structured Markov chains. Her interests are addressed to numerical linear algebra and its applications with special focus on matrix equations and Markov chains.

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