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Conference Papers Year : 2010

Efficient implementation of interval matrix multiplication

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Hong Diep Nguyen
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Abstract

The straightforward implementation of interval matrix product suf- fers from poor efficiency, far from the performances of highly optimized floating-point implementations. In this paper, we show how to reduce the interval matrix multiplication to 9 floating-point matrix products - for performance issues - without sacrificing the quality of the result. We show that, compared to the straightforward implementation, the overes- timation factor is at most 1.18.
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Dates and versions

inria-00469472 , version 1 (01-04-2010)

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  • HAL Id : inria-00469472 , version 1

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Hong Diep Nguyen. Efficient implementation of interval matrix multiplication. Para 2010: State of the Art in Scientific and Parallel Computing, Jun 2010, Reykjavik, Iceland. ⟨inria-00469472⟩
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