Geodesic
An algorithm for factorization of matrices with rational elements
Matematičeskoe modelirovanie, Tome 18 (2006) no. 3, pp. 69-76.

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An algorithm for factorization of matrices with rational elements is described. This algorithm is illustrated with examples. 
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M. G. Zotov. An algorithm for factorization of matrices with rational elements. Matematičeskoe modelirovanie, Tome 18 (2006) no. 3, pp. 69-76. http://geodesic.mathdoc.fr/item/MM_2006_18_3_a5/

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[3] Zolotarev Yu. G., Zotov M. G., Programmnye produkty i sistemy, 1999, no. 3