Optimality of balanced proper orthogonal decomposition for data reconstruction. II: Further approximation results

DOI10.1016/j.jmaa.2014.07.059zbMath1302.41025OpenAlexW2132408793MaRDI QIDQ743179

John R. Singler

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.059

zbMATH Keywords

proper orthogonal decompositionHilbert-Schmidt operatorsdata approximationbalanced proper orthogonal decomposition

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (3)

Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance ⋮ New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Balanced POD for model reduction of linear PDE systems: convergence theory
• Classes of linear operators. Vol. I
• Finite-Rank ADI Iteration for Operator Lyapunov Equations
• Optimality of Balanced Proper Orthogonal Decomposition for Data Reconstruction
• Model Reduction of the Nonlinear Complex Ginzburg–Landau Equation
• Convergent snapshot algorithms for infinite-dimensional Lyapunov equations

This page was built for publication: Optimality of balanced proper orthogonal decomposition for data reconstruction. II: Further approximation results