A Recursive Skeletonization Factorization Based on Strong Admissibility
DOI10.1137/16M1095949zbMath1365.65286arXiv1609.08130MaRDI QIDQ5737769
Victor Minden, Lexing Ying, Kenneth L. Ho
Publication date: 30 May 2017
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.08130
numerical exampleselliptic partial differential equationspreconditionersfast multipole methodmatrix factorizationlinear integral equationsfast direct solverslinear computational complexitystrong admissibilityhierarchical factorizations
Numerical methods for integral equations (65R20) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05) Boundary element methods for boundary value problems involving PDEs (65N38) Linear integral equations (45A05) Preconditioners for iterative methods (65F08)
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Cites Work
- Unnamed Item
- Unnamed Item
- A fast direct solver for the integral equations of scattering theory on planar curves with corners
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- A fast direct solver for a class of elliptic partial differential equations
- A direct solver with \(O(N)\) complexity for integral equations on one-dimensional domains
- The black-box fast multipole method
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- A fast direct solver for boundary integral equations in two dimensions
- Data-sparse approximation by adaptive \({\mathcal H}^2\)-matrices
- A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
- An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation
- An \(O(N)\) direct solver for integral equations on the plane
- Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations
- Estimating Extremal Eigenvalues and Condition Numbers of Matrices
- A Technique for Updating Hierarchical Skeletonization-Based Factorizations of Integral Operators
- An Accelerated Kernel-Independent Fast Multipole Method in One Dimension
- Superfast Multifrontal Method for Large Structured Linear Systems of Equations
- Fast direct solvers for integral equations in complex three-dimensional domains
- Estimating the Largest Eigenvalue by the Power and Lanczos Algorithms with a Random Start
- ``Compress and Eliminate” Solver for Symmetric Positive Definite Sparse Matrices
- Fast Spatial Gaussian Process Maximum Likelihood Estimation via Skeletonization Factorizations
- Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
- 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
- The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems
- Methods of conjugate gradients for solving linear systems
- A fast algorithm for particle simulations
- A fast, direct algorithm for the Lippmann-Schwinger integral equation in two dimensions