Factorization of singular integer matrices

Title
Factorization of singular integer matrices
Publication Date
2008
Author(s)
Lenders, Patrick Madeleine
Xue, Jingling
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Elsevier Inc
Place of publication
Netherlands
DOI
10.1016/j.laa.2007.09.012
UNE publication id
une:3003
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.
Link
Citation
Journal of Linear Algebra and its Applications, 428(4), p. 1046-1055
ISSN
0024-3795
Start page
1046
End page
1055

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