Numerical solution of algebraic Riccati equations

Numerical solution of algebraic Riccati equations

by Bini, Dario

Type Book
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This 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 have been simplified and a unified notation has been adopted. Readers will find a unified discussion of doubling algorithms, which are…

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Title Statements

  • Full title :Numerical solution of algebraic Riccati equations / Dario A. Bini, Bruno Iannazzo, Beatrice Meini.

Summary

This 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 have been simplified and a unified notation has been adopted. Readers will find a unified discussion of doubling algorithms, which are effective in solving algebraic Riccati equations as well as a detailed description of all classical and advanced algorithms for solving algebraic Riccati equations and their MATLAB codes. This will help the reader gain an understanding of the computational issues and provide ready-to-use implementation of the different solution techniques.

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Edition Statements

  • Publication Date:2011.

Publication Statements

The Physical Object

  • Description:1 online resource (viii, 250 pages) : : illustrations.

Edition Identifiers

  • ISBN:9781611972092, 1611972094, 9781611972085, 1611972086
  • oclc:ocn760067886
  • LC Classification:QA372.5
  • Dewey Decimal:518/.63

Table of Contents

Preface -- Chapter 1. Introduction and preliminaries -- Chapter 2. Theoretical analysis -- Chapter 3. Classical algorithms -- Chapter 4. Structured invariant subspace methods -- Chapter 5. Doubling algorithms -- Chapter 6. Algorithms for large scale problems -- Appendix A. Basic properties -- Listings -- Notation -- Bibliography -- Index.

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Subjects

algebraic Riccati equations Algèbre différentielle Differential algebra doubling algorithms Équation de Riccati -- Solutions numéri… nonlinear matrix equations numerical methods quadratic matrix equations Riccati equation -- Numerical solutions

Writers

Bini, Dario Iannazzo, Bruno Meini, B., (Beatrice)

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