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Interval matrix multiplication on parallel architectures
2012Getting efficiency when implementing interval arithmetic computations is a difficult task. The work presented here deals with the efficient implementation of interval matrix multiplication on parallel architectures. A first issue is the choice of the formulas.
Théveny, Philippe, Revol, Nathalie
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Tradeoffs between Accuracy and Efficiency for Interval Matrix Multiplication
2012Interval arithmetic is mathematically defined as set arithmetic. For implementation issues, it is necessary to detail the representation of intervals and to detail formulas for the arithmetic operations. Two main representations of intervals are considered here: inf-sup and mid-rad.
Revol, Nathalie +2 more
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Anatomy of high-performance matrix multiplication
ACM Transactions on Mathematical Software, 2008Robert A Van De Geijn
exaly
Sparse matrix multiplication: The distributed block-compressed sparse row library
Parallel Computing, 2014Joost Vandevondele +2 more
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New Lower Bounds for the Rank of Matrix Multiplication
SIAM Journal on Computing, 2014J M Landsberg
exaly
Journal of Combinatorics, Information & System Sciences
Deeba R. Naqvi +2 more
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Deeba R. Naqvi +2 more
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