The university of Florida sparse matrix collection
Коллекция разреженных матриц Университета Флориды
2011-11-01
SCID: 54.1/bkk6mh5j
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University of Florida Sparse Matrix Collectiongraph visualizationmultilevel coarseningnumerical linear algebrasparse matrix algorithms
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Abstract (AI)
We describe the University of Florida Sparse Matrix Collection, a large and actively growing set of sparse matrices that arise in real applications. The Collection is widely used by the numerical linear algebra community for the development and performance evaluation of sparse matrix algorithms. It allows for robust and repeatable experiments: robust because performance results with artificially generated matrices can be misleading, and repeatable because matrices are curated and made publicly available in many formats. Its matrices cover a wide spectrum of domains, include those arising from problems with underlying 2D or 3D geometry (as structural engineering, computational fluid dynamics, model reduction, electromagnetics, semiconductor devices, thermodynamics, materials, acoustics, computer graphics/vision, robotics/kinematics, and other discretizations) and those that typically do not have such geometry (optimization, circuit simulation, economic and financial modeling, theoretical and quantum chemistry, chemical process simulation, mathematics and statistics, power networks, and other networks and graphs). We provide software for accessing and managing the Collection, from MATLAB™, Mathematica™, Fortran, and C, as well as an online search capability. Graph visualization of the matrices is provided, and a new multilevel coarsening scheme is proposed to facilitate this task.
Key Findings
1
Its matrices span diverse application domains, including geometric problems in engineering and science and non-geometric problems such as optimization, networks, and economics.
2
Software interfaces for MATLAB, Mathematica, Fortran, and C, together with online search, facilitate access and management of the Collection.
3
The Collection supports robust and repeatable evaluation of sparse matrix algorithms by replacing potentially misleading artificial matrices with curated, publicly available data.
4
The University of Florida Sparse Matrix Collection is a large, actively growing repository of sparse matrices from real-world applications.
5
The paper provides matrix graph visualization and proposes a new multilevel coarsening scheme to support this visualization.
Research Object
The University of Florida Sparse Matrix Collection
Research Subject
The collection’s coverage, curation, accessibility, and utility for robust and repeatable development, evaluation, visualization, and coarsening of sparse matrix algorithms
Publication Details
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2011-11-01
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