Algorithm Engineering: 5th International Workshop, WAE 2001 by Gonzalo Navarro, Mathieu Raffinot (auth.), Gerth Stølting

By Gonzalo Navarro, Mathieu Raffinot (auth.), Gerth Stølting Brodal, Daniele Frigioni, Alberto Marchetti-Spaccamela (eds.)

This ebook constitutes the refereed court cases 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 rigorously reviewed and chosen from 25 submissions. one of the themes addressed are implementation, experimental checking out, and fine-tuning of discrete algorithms; novel use of discrete algorithms in different disciplines; empirical learn on algorithms and knowledge constructions; and methodological matters in regards to the means of changing consumer standards into effective algorithmic ideas and implemenations.

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K + rt − 1]. The call at v is then responsible for the computation of the type and initial position of the sub-blocks processed by the children. For example, for the A-block r × s starting at i, the four sub-blocks have respective dimensions r/2 × s/2 , r/2 × s/2 , r/2 × s/2 , and r/2 × s/2 . They also have respective starting points i0 , i1 , i2 , and i3 , of the form ih = i + ∆ih , where: ∆i0 = 0, ∆i1 = r/2 s/2 , ∆i2 = r/2 s, ∆i3 = ∆i2 + r/2 s/2 . In a similar way, one can define the analogous quantities jh = j + ∆jh for the sub-blocks of B and kh = k + ∆kh for the sub-blocks of C, for h = 0, 1, 2, 3.

G. Gustavson: Recursion leads to automatic variable blocking for dense linear algebra algorithms. Journal of Research and Development Volume 41, Number 6, November 1997. 27 26. F. Gustavson, A. Henriksson, I. Jonsson, P. Ling, and B. Kagstrom: Recursive blocked data formats and BLAS’s for dense linear algebra algorithms. In B. Kagstrom et al (eds), Applied Parallel Computing. Large Scale Scientific and Industrial Problems, PARA’98 Proceedings. Lecture Notes in Computing Science, No. 1541, p. 195-206, Springer Verlag, 1998.

Insertion and erasure of elements in the middle of the sequence are also possible, but these should not be expected to perform as efficiently as the other operations. , [13]). Let X be a deque, n an index, p a valid iterator, q a valid dereferenceable iterator, and r a reference to an element. erase(q) erases the element referred to by q from X We call the insert and erase operations collectively the modifying operations. The semantics of the sequence operations, as they are called in the C++ standard, can be defined as follows: G.

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