By Gonzalo Navarro, Mathieu Raffinot (auth.), Gerth Stølting Brodal, Daniele Frigioni, Alberto Marchetti-Spaccamela (eds.)
This ebook constitutes the refereed complaints of the fifth Workshop on set of rules Engineering, WAE 2001, held in Aarhus, Denmark, in August 2001. The 15 revised complete papers provided have been conscientiously reviewed and chosen from 25 submissions. one of the subject matters addressed are implementation, experimental trying out, and fine-tuning of discrete algorithms; novel use of discrete algorithms in different disciplines; empirical study on algorithms and information buildings; and methodological concerns concerning the strategy of changing person requisites into effective algorithmic recommendations and implemenations.
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Additional resources for Algorithm Engineering: 5th International Workshop, WAE 2001 Århus, Denmark, August 28–31, 2001 Proceedings
6γ/ s, where γ accounts for cross interference between diﬀerent matrices and other ﬁne eﬀects not captured by our analysis. In general, for a given fractal algorithm, γ will depend on matrix size (n), relative fractal arrays positions in memory, cache associativity and, sometimes, register allocation. When interference is negligible, we can expect γ ≈ 1. 2 The Structure of the Call Tree Pursuing eﬃcient implementations for the fractal algorithms we face the usual performance drawbacks of recursion: overheads and poor register utilization (due to lack of code exposure to the compiler).
1997 35 38. M. Thottethodi, S. Chatterjee and A. R. Lebeck: Tuning Strassen’s matrix multiplication for memory eﬃciency. Proc. org/sc98). 27 39. R. C. Whaley and J. J. Dongarra: Automatically Tuned Linear Algebra Software. html 27, 28, 33 38 Gianfranco Bilardi et al. 40. D. S. Wise: Undulant-block elimination and integer-preserving matrix inversion. Technical Report 418 Computer Science Department Indiana University August 1995 27 41. M. Wolfe: More iteration space tiling. 1989, pg. 655-665. 27 42.
Pi−1 , tqˆ−1 . . tj ) (7) or δ(pi−h pi−h+1 . . pi−1 , tqˆ . . tj ) = δ(pi−h , ) + δ(pi−h+1 . . pi−1 , tqˆ . . tj ) (8) It is not diﬃcult to see that δ(pi−h+1 . . pi−1 , tq . . tj ) = δ(pi−h+1 . . pi−1 , tqˆ−1 . . tj ) = δ(pi−h+1 . . pi−1 , tqˆ . . tj ) (9) From 1-3, 5, 7 or 8 and 9, we also derive 6 in this subcase. In the case that the symbol pi is aligned to the left of tj (as above), we have δ(pi−h+1 . . pi , tq . . tj ) = δ(pi−h+1 . . pi , tq . . tj−1 ) + 1 = D (i, j − 1) + 1 which implies that D (i, j) = D (i, j − 1) + 1 (10) In the case that the symbol pi is aligned with tj (as above), we have δ(pi−h+1 .
Algorithm Engineering: 5th International Workshop, WAE 2001 Århus, Denmark, August 28–31, 2001 Proceedings by Gonzalo Navarro, Mathieu Raffinot (auth.), Gerth Stølting Brodal, Daniele Frigioni, Alberto Marchetti-Spaccamela (eds.)