On the eigenvalue estimation for solution to Lyapunov equation

DOI10.1016/j.amc.2011.01.106zbMath1228.15005OpenAlexW2061590464MaRDI QIDQ716104

Jiajing Zhang, Zhiying Ding, Suya Sun, Xing-Dong Yang

Publication date: 19 April 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.106

zbMATH Keywords

Lyapunov matrix equationsingular valueeigenvalue inequalitiescharacteristic estimationLidskii-Wielandt inequality

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (2)

Extended Hamiltonian algorithm for the solution of discrete algebraic Lyapunov equations ⋮ A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance

Cites Work

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• Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
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• Factoring matrices into the product of two matrices
• Optimization approach to the estimation and control of Lyapunov exponents
• On the solution of the discrete-time Lyapunov matrix equation in controllable canonical form
• Low-Rank Solution of Lyapunov Equations
• Generalized Lyapunov Equations and Positive Definite Functions
• The Suboptimal Nehari Problem for Well-Posed Linear Systems
• Inequalities: theory of majorization and its applications

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