2 citations · 2 across the 4 of their papers we have counts for
4 papers
Solving Large Rank-Deficient Linear Least-Squares Problems on Shared-Memory CPU Architectures and GPU Architectures
Mónica Chillarón, Gregorio Quintana-Ortí, Vicente Vidal +1
Solving very large linear systems of equations is a key computational task in science and technology. In many cases, the coefficient matrix of the linear system is rank-deficient,…
Adaptive Parallelizable Algorithms for Interpolative Decompositions via Partially Pivoted LU
Katherine J. Pearce, Chao Chen, Yijun Dong +1
Interpolative and CUR decompositions involve "natural bases" of row and column subsets, or skeletons, of a given matrix that approximately span its row and column spaces. These low…
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces
Bowei Wu, Per-Gunnar Martinsson
This paper describes a trapezoidal quadrature method for the discretization of singular and hypersingular boundary integral operators (BIOs) that arise in solving boundary value pr…
Solving Linear Systems on a GPU with Hierarchically Off-Diagonal Low-Rank Approximations
Chao Chen, Per-Gunnar Martinsson
We are interested in solving linear systems arising from three applications: (1) kernel methods in machine learning, (2) discretization of boundary integral equations from mathemat…