FLAM (Fast Linear Algebra in MATLAB): Algorithms for Hierarchical Matrices. This MATLAB (and Octave-compatible) library implements various fast algorithms for certain classes of matrices with hierarchical low-rank block structure. Such matrices commonly arise in physical problems, including many classical integral (IE) and differential equations (DE), as well as in statistical contexts such as uncertainty quantification and machine learning. They have appeared in the literature under an assortment of related names and frameworks (e.g., H-, H2-, FMM, HODLR, HSS, HBS), where their special properties have been used to develop highly accelerated algorithms for many fundamental linear algebraic operations.
Keywords for this software
References in zbMATH (referenced in 5 articles , 1 standard article )
Showing results 1 to 5 of 5.
- Tu, Yihui; Pang, Qiyuan; Yang, Haizhao; Xu, Zhenli: Linear-scaling selected inversion based on hierarchical interpolative factorization for self Green’s function for modified Poisson-Boltzmann equation in two dimensions (2022)
- Zampini, Stefano; Boukaram, Wajih; Turkiyyah, George; Knio, Omar; Keyes, David: H2Opus: a distributed-memory multi-GPU software package for non-local operators (2022)
- Askham, Travis; Rachh, Manas: A boundary integral equation approach to computing eigenvalues of the Stokes operator (2020)
- Feliu-Fabà, Jordi; Ying, Lexing: Hierarchical interpolative factorization preconditioner for parabolic equations (2020)
- Kenneth L. Ho: FLAM: Fast Linear Algebra in MATLAB - Algorithms for Hierarchical Matrices (2020) not zbMATH