A GPU parallel randomized CUR compression method for the method of moments

DOI10.1016/j.cpc.2023.108696OpenAlexW4320718875MaRDI QIDQ2692476

Juan M. Rius, Eduard Ubeda, Alexander Heldring, Hector Lopez-Menchon

Publication date: 21 March 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2023.108696

zbMATH Keywords

method of momentslow-rank approximationelectric field integral equationrandomized methodsgraphics processing unit\(\mathcal{H}\)-matrices

Mathematics Subject Classification ID

Numerical analysis (65-XX) Optics, electromagnetic theory (78-XX)

Cites Work

• Unnamed Item
• Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
• CUR matrix decompositions for improved data analysis
• Pseudo-skeleton approximations by matrices of maximal volume
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• A theory of pseudoskeleton approximations
• Construction and arithmetics of \(\mathcal H\)-matrices
• Approximation of boundary element matrices
• On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices
• Julia: A Fresh Approach to Numerical Computing
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• On the degrees of freedom of scattered fields
• Fast Iterative Solution of Integral Equations With Method of Moments and Matrix Decomposition Algorithm – Singular Value Decomposition
• The Method of Moments in Electromagnetics

This page was built for publication: A GPU parallel randomized CUR compression method for the method of moments