This concise and finished therapy of the fundamental concept of algebraic Riccati equations describes the classical in addition to the extra complex algorithms for his or her resolution in a way that's available to either practitioners and students. it's the first publication during which nonsymmetric algebraic Riccati equations are handled in a transparent and systematic means. a few proofs of theoretical effects were simplified and a unified notation has been adopted.
Readers will discover a dialogue of doubling algorithms, that are potent in fixing algebraic Riccati equations, and a close description of all classical and complex algorithms for fixing algebraic Riccati equations, besides their MATLAB® codes. this may aid the reader achieve figuring out of the computational matters and supply ready-to-use implementation of the several resolution techniques.
Audience: This publication is meant for researchers who paintings within the layout and research of algorithms and for practitioners who're fixing difficulties in purposes and wish to appreciate the to be had algorithms and software program. it's also meant for college students without services during this quarter who desire to procedure this topic from a theoretical or computational perspective. The e-book can be utilized in a semester direction on algebraic Riccati equations or as a reference in a path on complicated numerical linear algebra and applications.
Contents: Preface; bankruptcy 1: advent and Preliminaries; bankruptcy 2: Theoretical research; bankruptcy three: Classical Algorithms; bankruptcy four: based Invariant Subspace tools; bankruptcy five: Doubling Algorithms; bankruptcy 6: Algorithms for Large-Scale difficulties; Appendix A: easy houses; Listings; Notation; Bibliography; Index.
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