$\mathcal{H}_2$-Optimal Model Reduction Using Projected Nonlinear Least Squares
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Publication:5856679
DOI10.1137/19M1247863zbMath1461.93060arXiv1811.11962OpenAlexW3111261286MaRDI QIDQ5856679
Caleb C. Magruder, Jeffrey Hokanson
Publication date: 29 March 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.11962
Linear systems in control theory (93C05) System structure simplification (93B11) Approximation by rational functions (41A20) Control/observation systems governed by ordinary differential equations (93C15)
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Uses Software
Cites Work
- Inexact solves in interpolatory model reduction
- Convergence of the iterative rational Krylov algorithm
- Rational interpolation and state-variable realizations
- \(\mathcal H_2\)-optimal model reduction of MIMO systems
- A two-step model reduction approach for mechanical systems with moving loads
- Interpolatory projection methods for structure-preserving model reduction
- Linear system approximation via covariance equivalent realizations
- Exponentially convergent Fourier-Chebyshev quadrature schemes on bounded and infinite intervals
- Pivoting and backward stability of fast algorithms for solving Cauchy linear equations
- Perturbation theory for linear operators.
- $\mathcal{H}_2$-Optimal Model Reduction with Higher-Order Poles
- Recycling BiCG with an Application to Model Reduction
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
- ARPACK Users' Guide
- Model Reduction and Approximation
- Projected Nonlinear Least Squares for Exponential Fitting
- A Subspace, Interior, and Conjugate Gradient Method for Large-Scale Bound-Constrained Minimization Problems
- Numerical Methods for Computing Angles Between Linear Subspaces
- Accuracy and Stability of Numerical Algorithms
- Advanced Structural Dynamics and Active Control of Structures
- Accurate Singular Value Decompositions of Structured Matrices
- Quadrature-Based Vector Fitting for Discretized $\mathcal{H}_2$ Approximation
- Nonlinear Parametric Inversion Using Interpolatory Model Reduction
- The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
- Approximation of Large-Scale Dynamical Systems
- Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography
- The AAA Algorithm for Rational Approximation
- Theory of Reproducing Kernels
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