Balanced Truncation for Parametric Linear Systems Using Interpolation of Gramians: A Comparison of Algebraic and Geometric Approaches (Q5014012)

scientific article; zbMATH DE number 7438752

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English	Balanced Truncation for Parametric Linear Systems Using Interpolation of Gramians: A Comparison of Algebraic and Geometric Approaches	scientific article; zbMATH DE number 7438752

Statements

instance of

scholarly article

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title

Balanced Truncation for Parametric Linear Systems Using Interpolation of Gramians: A Comparison of Algebraic and Geometric Approaches (English)

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author

Nguyen Thanh Son

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Pierre-Yves Gousenbourger

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Estelle M. Massart

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Tatjana Stykel

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published in

Model Reduction of Complex Dynamical Systems

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publication date

3 December 2021

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full work available at URL

https://arxiv.org/abs/2003.04577

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MaRDI profile type

MaRDI publication profile

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cites work

Q3639867

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Curvature of the manifold of fixed-rank positive-semidefinite matrices endowed with the Bures-Wasserstein metric

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Introduction to Riemannian Manifolds

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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On the decay rate of Hankel singular values and related issues

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A two-directional Arnoldi process and its application to parametric model order reduction

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Interpolatory Projection Methods for Parameterized Model Reduction

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Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction

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A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

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Singular control systems

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Gramian-based model reduction for descriptor systems

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Approximation of Large-Scale Dynamical Systems

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Interpolation among reduced‐order matrices to obtain parameterized models for design, optimization and probabilistic analysis

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An Online Method for Interpolating Linear Parametric Reduced-Order Models

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A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds

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Model order reduction of parameterized circuit equations based on interpolation

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Principal component analysis in linear systems: Controllability, observability, and model reduction

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Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case

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Truncated balanced realization of a stable non-minimal state-space system

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Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices

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On the geometry of rolling and interpolation curves on \(S^n\), \(\mathrm{SO}_n\), and Grassmann manifolds

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Higher-order smoothing splines versus least squares problems on Riemannian manifolds

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Data fitting on manifolds with composite Bézier-like curves and blended cubic splines

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Simultaneous interpolation and approximation by a class of multivariate positive operators

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Identifiers

zbMATH Open document ID

1480.93063

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DOI

10.1007/978-3-030-72983-7_2

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5014012