Abstract
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.
This work was supported by the Spanish Ministry of Science and Technology (TIN2012-34557) and the Generalitat de Catalunya, Dep. d’Innovació, Universitats i Empresa (2009 SGR980).
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Gustavson, F.G., Herrero, J.R., Morancho, E. (2014). A Square Block Format for Symmetric Band Matrices. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55224-3_64
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DOI: https://doi.org/10.1007/978-3-642-55224-3_64
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