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Matrix equations solutions using Riccati equation


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  • Product Description

The nonlinear matrix equation X^{s}+A*X^{-s})A=Q, when A is a square matrix, Q is a square positive definite matrix and s an integer number, has been studied by several authors. Equations of this type arise in many problems of systems theory, discrete time control and in many applications in various research areas including filter design, ladder networks, dynamic programming, stochastic filtering and statistics. In the case that A is nonsingular and s=1, the associated matrix equation has many contributions in the theory, applications and numerical solution of the discrete algebraic Riccati equation. In this book, necessary and sufficient conditions for the existence of the Hermitian solutions are presented as well as an algebraic method based on the Riccati equation for the computation of these solutions is proposed. Inequalities for the eigenvalues of A, Q are presented. Bounds for the extreme eigenvalues of the minimal solution are derived. These results are verified through numerical experiments. This book concerns graduate students as well as researchers in the fields of Applied Mathematics, Electrical and Computer Engineering.

Product Specifications
SKU :COC24759
AuthorMaria Adam and Nicholas Assimakis
Number of Pages92
Publishing Year9/27/2012
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00