Construction of square root factor for solution of the Lyapunov matrix equation

DOI10.1016/0167-6911(93)90022-XzbMath0782.93082MaRDI QIDQ1801655

Fikret A. Aliev, Vladimir B. Larin

Publication date: 17 August 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Lyapunov matrix equationscaling transformationsquare root factors

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

A modified matrix sign function method for projected Lyapunov equations ⋮ Computational Methods for Linear Matrix Equations ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Krylov subspace methods for projected Lyapunov equations ⋮ Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetric cone ⋮ Generalized Lyapunov equation and factorization of matrix polynomials ⋮ NUMERICAL SOLUTION OF DISCRETE STABLE LINEAR MATRIX EQUATIONS ON MULTICOMPUTERS

Cites Work

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• Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
• Some alternatives in recursive estimation†
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• Accelerated convergence of the matrix sign function method of solving Lyapunov, Riccati and other matrix equations
• Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation

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