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Title: Factorization of singular integer matrices
Contributor(s): Lenders, Patrick Madeleine (author); Xue, Jingling (author)
Publication Date: 2008
DOI: 10.1016/j.laa.2007.09.012
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Abstract: It is well known that a singular integer matrix can be factorized into a product of integer idempotent matrices. In this paper, we prove that every 'n × n (n > 2)' singular integer matrix can be written as a product of 3n + 1 integer idempotent matrices. This theorem has some application in the field of synthesizing VLSI arrays and systolic arrays.
Publication Type: Journal Article
Source of Publication: Journal of Linear Algebra and its Applications, 428(4), p. 1046-1055
Publisher: Elsevier
Place of Publication: Amsterdam, The Netherlands
ISSN: 0024-3795
Field of Research (FOR): 010101 Algebra and Number Theory
Socio-Economic Outcome Codes: 970101 Expanding Knowledge in the Mathematical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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