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. 
@article{MM_2006_18_3_a5,
     author = {M. G. Zotov},
     title = {An algorithm for factorization of matrices with rational elements},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {69--76},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_3_a5/}
}
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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/