7 citations · 17 across the 6 of their papers we have counts for
6 papers
Matrix-free construction of HSS representation using adaptive randomized sampling
Christopher Gorman, Gustavo Chávez, Pieter Ghysels +3
We present new algorithms for the randomized construction of hierarchically semi-separable matrices, addressing several practical issues. The HSS construction algorithms use a part…
A Study of Clustering Techniques and Hierarchical Matrix Formats for Kernel Ridge Regression
Elizaveta Rebrova, Gustavo Chavez, Yang Liu +2
We present memory-efficient and scalable algorithms for kernel methods used in machine learning. Using hierarchical matrix approximations for the kernel matrix the memory requireme…
Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients
Gustavo Chávez, George Turkiyyah, Stefano Zampini +1
We present a robust and scalable preconditioner for the solution of large-scale linear systems that arise from the discretization of elliptic PDEs amenable to rank compression. The…
Accelerated Cyclic Reduction: A Distributed-Memory Fast Solver for Structured Linear Systems
Gustavo Chávez, George Turkiyyah, Stefano Zampini +2
We present Accelerated Cyclic Reduction (ACR), a distributed-memory fast direct solver for rank-compressible block tridiagonal linear systems arising from the discretization of ell…
A Direct Elliptic Solver Based on Hierarchically Low-rank Schur Complements
Gustavo Chávez, George Turkiyyah, David Keyes
A parallel fast direct solver for rank-compressible block tridiagonal linear systems is presented. Algorithmic synergies between Cyclic Reduction and Hierarchical matrix arithmetic…
Marching Surfaces: Isosurface Approximation using G Multi-Sided Surfaces
Gustavo Chávez, Alyn Rockwood
Marching surfaces is a method for isosurface extraction and approximation based on a multi-sided patch interpolation scheme. Given a 3D grid of scalar values, an underlying c…