STARS-H is a high performance parallel open-source package of Software for Testing Accuracy, Reliability and Scalability of Hierarchical computations. It provides a hierarchical matrix market in order to benchmark performance of various libraries for hierarchical matrix compressions and computations (including itself). Why hierarchical matrices? Because such matrices arise in many PDEs and use much less memory, while requiring fewer flops for computations. There are several hierarchical data formats, each one with its own performance and memory footprint. STARS-H intends to provide a standard for assessing accuracy and performance of hierarchical matrix libraries on a given hardware architecture environment. STARS-H currently supports the tile low-rank (TLR) data format for approximation on shared and distributed-memory systems, using MPI, OpenMP and task-based programming models.

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  1. Sameh Abdulah, Yuxiao Li, Jian Cao, Hatem Ltaief, David E. Keyes, Marc G. Genton, Ying Sun: ExaGeoStatR: A Package for Large-Scale Geostatistics in R (2019) arXiv