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Scaling multiple addition and prefix sums on the reconfigurable mesh

✍ Scribed by Jerry L. Trahan; Ramachandran Vaidyanathan


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
77 KB
Volume
82
Category
Article
ISSN
0020-0190

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✦ Synopsis


Multiple addition is the problem of adding N b-bit integers. Prefix sums and multiple addition play fundamental roles in many algorithms, particularly on the reconfigurable mesh (R-Mesh). Scaling algorithms on the R-Mesh to run with the same or increased efficiency on fewer processors is a challenging and important proposition. In this paper, we present algorithms that scale with increasing efficiency for multiple addition, prefix sums, and matrix-vector multiplication. Along the way, we obtain an improved multiple addition algorithm.