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A Square Block Format for Symmetric Band Matrices
Umeå University, Faculty of Science and Technology, Department of Computing Science. IBM T.J. Watson Research Center, New York, USA.
2014 (English)In: Parallel Processing and Applied Mathematics: 10th International Conference, PPAM 2013 Warsaw, Poland, September 8–11, 2013, Revised Selected Papers, Part I / [ed] Wyrzykowski, R Dongarra, J Karczewski, K Wasniewski, J, Springer Berlin/Heidelberg, 2014, p. 683-689Conference paper, Published paper (Refereed)
Abstract [en]

This contribution describes a Square Block, SB, format for storing a banded symmetric matrix. This is possible by rearranging "in place" LAPACK Band Layout to become a SB layout: store submatrices as a set of square blocks. The new format reduces storage space, provides higher locality of memory accesses, results in regular access patterns, and exposes parallelism.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2014. p. 683-689
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 8384
Keywords [en]
Upper Square Block Band Format, Banded Cholesky factorization, New data storage format, Locality, Parallelism
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-142811DOI: 10.1007/978-3-642-55224-3_64ISI: 000349159200064ISBN: 978-3-642-55224-3 (print)OAI: oai:DiVA.org:umu-142811DiVA, id: diva2:1165970
Conference
10th International Conference on Parallel Processing and Applied Mathematics (PPAM), September 08-11, 2013, Warsaw, Poland
Available from: 2017-12-14 Created: 2017-12-14 Last updated: 2018-06-09Bibliographically approved

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Gustavson, Fred G.

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Citation style
  • apa
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf