A Square Block Format For Symmetric Band Matrices

PARALLEL PROCESSING AND APPLIED MATHEMATICS (PPAM 2013), PT I(2013)

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摘要
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.
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关键词
Upper Square Block Band Format, Banded Cholesky factorization, New data storage format, Locality, Parallelism
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