Algebraic inverse fast multipole method: a fast direct solver that is better than HODLR based fast direct solver
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Publication:6119254
DOI10.1016/j.jcp.2023.112627arXiv2301.12704OpenAlexW4388571626MaRDI QIDQ6119254
Vaishnavi Gujjula, Sivaram Ambikasaran
Publication date: 29 February 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.12704
preconditionerfast multipole methodhierarchical matricesfast direct solverlow-rank matricesextended sparsification
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Computer aspects of numerical algorithms (65Yxx)
Cites Work
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- Constructing nested bases approximations from the entries of non-local operators
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- An adaptive fast direct solver for boundary integral equations in two dimensions
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Construction and arithmetics of \(\mathcal H\)-matrices
- Introduction to hierarchical matrices with applications.
- Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates
- Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method
- A fast direct solver for boundary integral equations in two dimensions
- The fast multipole method: Numerical implementation
- An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation
- Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions
- Hierarchical Matrices: Algorithms and Analysis
- Randomized algorithms for the low-rank approximation of matrices
- Fast direct solvers for integral equations in complex three-dimensional domains
- Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
- Rank-Revealing QR Factorizations and the Singular Value Decomposition
- Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
- A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner
- A Fast $ULV$ Decomposition Solver for Hierarchically Semiseparable Representations
- On the Compression of Low Rank Matrices
- A Fast Solver for HSS Representations via Sparse Matrices
- A Recursive Skeletonization Factorization Based on Strong Admissibility
- The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems
- A fast algorithm for particle simulations
- HODLR2D: A New Class of Hierarchical Matrices
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