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20242026
most cited optimal model reduction of linear systems with multiple quadratic outputs

2 citations · 2 across the 2 of their papers we have counts for

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5 papers · 1 filter

math.NA2026

-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation

Sean Reiter, Ion Victor Gosea, Igor Pontes Duff +1

This paper addresses the -optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major…

math.NA20262 cited

optimal model reduction of linear systems with multiple quadratic outputs

Sean Reiter, Igor Pontes Duff, Ion Victor Gosea +1

In this work, we consider the optimal model reduction of dynamical systems that are linear in the state equation and up to quadratic nonlinearity in the output equation. As o…

math.NA2025

Data-driven balanced truncation for linear systems with quadratic outputs

Reetish Padhi, Ion Victor Gosea, Igor Pontes Duff +1

We develop the framework for a non-intrusive, quadrature-based method for approximate balanced truncation (QuadBT) of linear systems with quadratic outputs, thus extending the appl…

math.NA2025

Inference of Substructured Reduced-Order Models for Dynamic Contact from Contact-free Simulations

Diana Manvelyan-Stroot, Yevgeniya Filanova, Igor Pontes Duff +2

In this paper, we propose an operator-inference-based reduction approach for contact problems, leveraging snapshots from simulations without active contact. Contact problems are so…

math.NA2025

On the representation of energy-preserving quadratic operators with application to Operator Inference

Leonidas Gkimisis, Igor Pontes Duff, Pawan Goyal +1

In this work, we investigate a skew-symmetric parameterization for energy-preserving quadratic operators. Earlier, [Goyal et al., 2023] proposed this parameterization to enforce en…