Ginkgo: A Modern Linear Operator Algebra Framework for High Performance Computing

In this paper, we present Ginkgo, a modern C++ math library for scientific high performance computing. While classical linear algebra libraries act on matrix and vector objects, Ginkgo's design principle abstracts all functionality as "linear operators", motivating the notation of a &...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Hartwig Anzt, Cojean, Terry, Flegar, Goran, Göbel, Fritz, Grützmacher, Thomas, Nayak, Pratik, Ribizel, Tobias, Tsai, Yuhsiang Mike, Quintana-Ortí, Enrique S
Format: Article
Language:English
Subjects:
Algorithms
Computation
Computer architecture
High performance computing
Libraries
Linear algebra
Linear operators
Mathematical analysis
Matrix algebra
Matrix methods
Operators (mathematics)
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Summary:In this paper, we present Ginkgo, a modern C++ math library for scientific high performance computing. While classical linear algebra libraries act on matrix and vector objects, Ginkgo's design principle abstracts all functionality as "linear operators", motivating the notation of a "linear operator algebra library". Ginkgo's current focus is oriented towards providing sparse linear algebra functionality for high performance GPU architectures, but given the library design, this focus can be easily extended to accommodate other algorithms and hardware architectures. We introduce this sophisticated software architecture that separates core algorithms from architecture-specific back ends and provide details on extensibility and sustainability measures. We also demonstrate Ginkgo's usability by providing examples on how to use its functionality inside the MFEM and deal.ii finite element ecosystems. Finally, we offer a practical demonstration of Ginkgo's high performance on state-of-the-art GPU architectures.
ISSN:2331-8422