A matrix rational Lanczos method for model reduction in large‐scale first‐ and second‐order dynamical systems
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Publication:5271013
DOI10.1002/nla.2077zbMath1424.93026OpenAlexW2556611556MaRDI QIDQ5271013
Houda Barkouki, Khalide Jbilou, Abdeslem Hafid Bentbib
Publication date: 3 July 2017
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.2077
Related Items (2)
Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix ⋮ Structure-preserving model reduction of second-order systems by Krylov subspace methods
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Cites Work
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- An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems
- Adaptive rational interpolation: Arnoldi and Lanczos-like equations
- Adaptive-order rational Arnoldi-type methods in computational electromagnetism
- Adaptive rational Krylov subspaces for large-scale dynamical systems
- The global Arnoldi process for solving the Sylvester-observer equation
- Matrix Krylov subspace methods for large scale model reduction problems
- Oblique projection methods for linear systems with multiple right-hand sides
- Model reduction in large scale MIMO dynamical systems via the block Lanczos method
- On the partial realization problem
- Mosaic-skeleton approximations
- Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs
- Asymptotic waveform evaluation via a Lanczos method
- Sylvester equations and projection-based model reduction.
- Global FOM and GMRES algorithms for matrix equations
- Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
- Vibration control of active structures. An introduction.
- A rational Lanczos algorithm for model reduction
- A global rational Arnoldi method for model reduction
- An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems
- Second-order balanced truncation
- Convergence properties of some block Krylov subspace methods for multiple linear systems
- A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems
- Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems
- On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems
- Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
- Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- A Schur method for balanced-truncation model reduction
- Model Reduction of MIMO Systems via Tangential Interpolation
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