Geodesic
Algorithms for computing determinants in commutative rings
Diskretnaya Matematika, Tome 7 (1995) no. 4, pp. 68-76
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A new method of computing determinants in commutative rings is developed. This method is compared with two known methods. For each method estimates of efficiency in various commutative rings are given. 
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     author = {G. I. Malashonok},
     title = {Algorithms for computing determinants in commutative rings},
     journal = {Diskretnaya Matematika},
     pages = {68--76},
     year = {1995},
     volume = {7},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1995_7_4_a5/}
}
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G. I. Malashonok. Algorithms for computing determinants in commutative rings. Diskretnaya Matematika, Tome 7 (1995) no. 4, pp. 68-76. http://geodesic.mathdoc.fr/item/DM_1995_7_4_a5/