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Parallel and Cache-Efficient In-Place Matrix Storage Format Conversion
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science. (UMIT)ORCID iD: 0000-0002-4675-7434
Umeå University, Faculty of Science and Technology, High Performance Computing Center North (HPC2N). (UMIT)
2012 (English)In: ACM Transactions on Mathematical Software, ISSN 0098-3500, E-ISSN 1557-7295, Vol. 38, no 3, p. 17:1-17:32Article in journal (Refereed) Published
Abstract [en]

Techniques and algorithms for efficient in-place conversion to and from standard and blocked matrix storage formats are described. Such functionality is required by numerical libraries that use different data layouts internally. Parallel algorithms and a software package for in-place matrix storage format conversion based on in-place matrix transposition are presented and evaluated. A new algorithm for in-place transposition which efficiently determines the structure of the transposition permutation a priori is one of the key ingredients. It enables effective load balancing in a parallel environment.

Place, publisher, year, edition, pages
New York: Association for Computing Machinery , 2012. Vol. 38, no 3, p. 17:1-17:32
Keywords [en]
Algorithms, Performance, Theory, Blocked matrix data layout, in-place matrix transposition, parallel and cache-efficient algorithms
National Category
Computer and Information Sciences Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-56166DOI: 10.1145/2168773.2168775ISI: 000303654900002Scopus ID: 2-s2.0-84862107202OAI: oai:DiVA.org:umu-56166DiVA, id: diva2:545374
Available from: 2012-08-20 Created: 2012-06-12 Last updated: 2023-03-23Bibliographically approved

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Gustavson, FredKarlsson, LarsKågström, Bo

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