Optimization-based Parametric Model Order Reduction via ${{\mathcal{H}_2} \otimes {\mathcal{L}_2}}$ First-order Necessary Conditions
DOI10.1137/21M140290XzbMath1492.65227arXiv2103.03136OpenAlexW3135240482WikidataQ115214627 ScholiaQ115214627MaRDI QIDQ5084521
Petar Mlinarić, Jens Saak, Manuela Hund, Tim Mitchell
Publication date: 24 June 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.03136
\(\mathcal{H}_2\otimes\mathcal{L}_2\) gradientoptimization-derived ROMsparametric MORWilson conditions
Numerical mathematical programming methods (65K05) Matrix equations and identities (15A24) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Complexity and performance of numerical algorithms (65Y20) Large-scale systems (93A15) Numerical methods for ordinary differential equations (65L99) Computational methods for problems pertaining to systems and control theory (93-08)
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- Calculus on normed vector spaces
- \(\mathcal H_2\)-optimal model reduction of MIMO systems
- The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Data-Driven Parametrized Model Reduction in the Loewner Framework
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations
- Parametric Model Order Reduction via Balanced Truncation with Taylor Series Representation
- Interpolatory Projection Methods for Parameterized Model Reduction
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Model Reduction and Approximation
- An Efficient Method for Estimating the Optimal Dampers' Viscosity for Linear Vibrating Systems Using Lyapunov Equation
- A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles
- Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Reduced Basis Methods for Partial Differential Equations
- Approximation of Large-Scale Dynamical Systems
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