Numerical Solution of Algebraic Riccati Equations (Fundamentals of Algorithms)

Bini, Dario A./ Iannazzo, Bruno/ Meini, Beatrice

Society for Industrial & Applied Mathematics,U.S.（2012/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 266 p.
• 言語 ENG
• 商品コード 9781611972085
• DDC分類 518.63

Full 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 have been simplified and a unified notation has been adopted.

Readers will find a discussion of doubling algorithms, which are effective in solving algebraic Riccati equations, and a detailed description of all classical and advanced algorithms for solving algebraic Riccati equations, along with their MATLAB® codes. This will help the reader gain understanding of the computational issues and provide ready-to-use implementation of the different solution techniques.

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.