Perturbation Theory for Matrix Equations

Klappentext A large number of examples and graphical illustrations are given. It is written by prominent specialists in the field. Zusammenfassung Devotes to the perturbation analysis of matrix equations. This book presents the general perturbation theory for matrix algebraic equations. It includes examples! tables and figures in order to illustrate the perturbation techniques and bounds. It contains the results that can be used in the development of reliable computational algorithms. Inhaltsverzeichnis 1 Introduction. 2 Perturbation problems. 3 Problems with explicit solutions. 4 Problems with implicit solutions. 5 Lyapunov majorants. 6 Singular problems. 7 Perturbation bounds. 8 General Sylvester equations. 9 Specific Sylvester equations. 10 General Lyapunov equations. 11 Lyapunov equations in control theory. 12 General quadratic equations. 13 Continuous--time Riccati equations. 14 Coupled Riccati equations. 15 General fractional--afine equations. 16 Symmetric fractional--afine equations. A Elements of algebra and analysis. B Unitary and orthogonal decompositions. C Kronecker product of matrices. D Fixed point principles. E Sylvester operators. F Lyapunov operators. G Lyapunov--like operators. H Notation. References. Index. ...

Product details

• Authors: Da-Wei Gu, M. Konstantinov, M. (University of Architecture Konstantinov, M. Wei Konstantinov, Mihail Konstantinov, V. Mehrmann, V. (Institut fur Mathematik Mehrmann, Volker Mehrmann, P. (Technical University of Sofia Petkov, D. Wei Gu, D. (University of Leicester Wei Gu
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Hardback
• Released: 20.05.2003
• EAN: 9780444513151
• ISBN: 978-0-444-51315-1
• No. of pages: 442
• Series: Studies in Computational Mathe; Studies in Computational Mathematics; Studies in Computational Mathe
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra