The ADI method for bounded real and positive real Lur'e equations
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Publication:512158
DOI10.1007/s00211-016-0805-2zbMath1361.65026OpenAlexW2337446964MaRDI QIDQ512158
Mark R. Opmeer, Arash Massoudi, Timo Reis
Publication date: 24 February 2017
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: http://opus.bath.ac.uk/49935/1/preprint.pdf
algorithmnumerical exampleapproximate solutionsalgebraic Riccati equationsLur'e equationsalternating direction implicit (ADI)low-rank factored formprojected optimal control
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Passivity preserving model reduction via spectral factorization ⋮ 2 Balancing-related model reduction methods
Cites Work
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- Lur'e equations and even matrix pencils
- Solution of Lyapunov equations by alternating direction implicit iteration
- Iterative solution of the Lyapunov matrix equation
- Optimal control of stable weakly regular linear systems
- Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations
- Error bounds in the gap metric for dissipative balanced approximations
- Dissipative dynamical systems. I: General theory
- Dissipative dynamical systems. II: Linear systems with quadratic supply rates
- Analysis of an Iteration Method for the Algebraic Riccati Equation
- Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
- Finite-Rank ADI Iteration for Operator Lyapunov Equations
- A new subspace iteration method for the algebraic Riccati equation
- Outer transfer functions of differential-algebraic systems
- Positive real and bounded real balancing for model reduction of descriptor systems
- A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Low Rank Solution of Lyapunov Equations
- A Deflation Approach for Large-Scale Lur'e Equations
- A structure‐preserving doubling algorithm for Lur'e equations
- Linear operator inequalities for strongly stable weakly regular linear systems
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