Factorization of singular integer matrices |
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| Authors: | Patrick Lenders Jingling Xue |
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| Affiliation: | a School of Mathematics, Statistics and Computer Science, University of New England, Armidale NSW 2351, Australia
b School of Computer Science and Engineering, University of New South Wales, Sydney NSW 2052, Australia |
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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. |
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| Keywords: | 15A36 15A23 |
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