A Deflation Approach for Large-Scale Lur'e Equations

DOI10.1137/120861679zbMath1263.15015OpenAlexW2026282191MaRDI QIDQ4918169

Timo Reis, Federico Poloni

Publication date: 23 April 2013

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ba3c9cc404d2ec1721be597249136d969244e7e3

zbMATH Keywords

Riccati equationsLur'e equationsADI iterationdeflating subspaceseven matrix pencilsNewton-Kleinman method

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Eigenvalues, singular values, and eigenvectors (15A18) Large-scale systems (93A15) Matrix pencils (15A22)

Related Items (10)

Passivity preserving model reduction via spectral factorization ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ The ADI method for bounded real and positive real Lur'e equations ⋮ A structure‐preserving doubling algorithm for Lur'e equations ⋮ Duality of matrix pencils, Wong chains and linearizations ⋮ The Kalman-Yakubovich-Popov inequality for differential-algebraic systems ⋮ 2 Balancing-related model reduction methods ⋮ Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction ⋮ Regularization of linear time-invariant differential-algebraic systems ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

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