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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||Handle Link:||https://hdl.handle.net/1959.11/2925||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||Statistics to Oct 2018:||Visitors: 260
|Appears in Collections:||Journal Article|
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