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Title: Parallel Dixon matrices by bracket
Authors: Chionh, E.-W. 
Keywords: Brackets
Dixon matrices
Parallel algorithms
Issue Date: 2003
Citation: Chionh, E.-W. (2003). Parallel Dixon matrices by bracket. Advances in Computational Mathematics 19 (4) : 373-383. ScholarBank@NUS Repository.
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
ISSN: 10197168
DOI: 10.1023/A:1024264830187
Appears in Collections:Staff Publications

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