Software

1. ParGeMSLR: Parallel Generalized Multilevel Low-rank Preconditioner

ParGeMSLR (Parallel Generalized Multilevel Schur Low-Rank) is a MPI-based C++ library. This is a distributed-memory Multilevel Low-Rank Preconditioning and Solution package for the solution of large and sparse (non)symmetric linear systems of equations. The Parallel GeMSLR preconditioner is purely algebraic.

2. SchurCheb: Schur Complement Chebyshev Eigenvalue Solver for Small Eigenvalues

SchurCheb is a MPI-based C++ research code for computing partial spectral factorizations of matrix pencils via Chebyshev approximation. This is a distributed-memory package for computing all the eigenvalues (and corresponding eigenvectors) of a large, sparse, real symmetric positive definite matrix pencil that lie within a target interval. The algorithm is purely algebraic.

1. HYPRE: High Performance Preconditioners

HYPRE is a library of high performance preconditioners and solvers featuring multigrid methods for the solution of large, sparse linear systems of equations on massively parallel computers. The figure on the right is from the HYPRE's GitHub page.

2. HiGP: High-Performance Package for Large-Scale Gaussian Process

Gaussian processes (GPs) are a set of flexible, non-parametric Bayesian methods for modeling complex data. HiGP is a high-performance Python package for GP regression (GPR) and GP classification (GPC).