Hierarchical algorithms on hierarchical architectures
From MaRDI portal
Publication:4993506
DOI10.1098/rsta.2019.0055zbMath1462.65048OpenAlexW3000326765WikidataQ92754276 ScholiaQ92754276MaRDI QIDQ4993506
Hatem Ltaief, George M. Turkiyyah, David E. Keyes
Publication date: 15 June 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.2019.0055
softwarecomputational mathematicshierarchical matricesapplied mathematicscomputational linear algebracomputer modelling and simulationexascale architectures
Related Items (5)
Hierarchical matrix approximations for space-fractional diffusion equations ⋮ Numerical algorithms for high-performance computational science ⋮ Space-fractional diffusion with variable order and diffusivity: discretization and direct solution strategies ⋮ A hierarchically low-rank optimal transport dissimilarity measure for structured data ⋮ A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity
Uses Software
Cites Work
- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- Rang revealing QR factorizations
- Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients
- 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
- Adaptive low-rank approximation of collocation matrices
- Incomplete cross approximation in the mosaic-skeleton method
- Redesigning triangular dense matrix computations on GPUs
- Low-Rank Approximation of Elliptic Boundary Value Problems with High-Contrast Coefficients
- Hierarchical Matrices: Algorithms and Analysis
- Multilevel Monte Carlo Path Simulation
- LAPACK Users' Guide
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions
- Randomized GPU Algorithms for the Construction of Hierarchical Matrices from Matrix-Vector Operations
- Hierarchical Matrix Operations on GPUs
- Improving Multifrontal Methods by Means of Block Low-Rank Representations
- KBLAS
- A fast algorithm for particle simulations
This page was built for publication: Hierarchical algorithms on hierarchical architectures