\(\boldsymbol{\mathcal{L}_2}\)-Optimal Reduced-Order Modeling Using Parameter-Separable Forms

DOI10.1137/22m1500678zbMath1512.65098arXiv2206.02929OpenAlexW4367055067MaRDI QIDQ6039264

Petar Mlinarić, Serkan Gugercin

Publication date: 4 May 2023

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02929

zbMATH Keywords

optimizationnonlinear least squaresreduced-order modelinglinear time-invariant systems\(\mathcal{L}_2\) normparametric stationary problems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Large-scale systems (93A15)

Related Items (3)

A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling ⋮ Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework ⋮ The p-AAA Algorithm for Data-Driven Modeling of Parametric Dynamical Systems

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