Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/2925
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 Inc | Place of Publication: | Netherlands | ISSN: | 0024-3795 | Fields of Research (FoR) 2008: | 010101 Algebra and Number Theory | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article |
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