Please use this identifier to cite or link to this item: https://doi.org/10.1023/A:1024264830187
Title: Parallel Dixon matrices by bracket
Authors: Chionh, E.-W. 
Keywords: Brackets
Dixon matrices
Parallel algorithms
Issue Date: 2003
Source: Chionh, E.-W. (2003). Parallel Dixon matrices by bracket. Advances in Computational Mathematics 19 (4) : 373-383. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1024264830187
Abstract: It is known that the Dixon matrix can be constructed in parallel either by entry or by diagonal. This paper presents another parallel matrix construction, this time by bracket. The parallel by bracket algorithm is the fastest among the three, but not surprisingly it requires the highest number of processors. The method also shows analytically that the Dixon matrix has a total of m(m + 1)2(m + 2)n(n + 1)2(n + 2)/36 brackets but only mn(m + 1)(n + 1)(mn + 2m + 2n + 1)/6 of them are distinct.
Source Title: Advances in Computational Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/39889
ISSN: 10197168
DOI: 10.1023/A:1024264830187
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