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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Sequential Optimization of Matrix Chain Multiplication Relative to Different Cost Functions
verfasst von : Igor Chikalov, Shahid Hussain, Mikhail Moshkov
Erschienen in: SOFSEM 2011: Theory and Practice of Computer Science
Verlag: Springer Berlin Heidelberg
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In this paper, we present a methodology to optimize matrix chain multiplication sequentially relative to different cost functions such as total number of scalar multiplications, communication overhead in a multiprocessor environment, etc. For
n
matrices our optimization procedure requires
O
(
n
3
) arithmetic operations per one cost function. This work is done in the framework of a dynamic programming extension that allows sequential optimization relative to different criteria.