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...