Geodesic
Computation of Determinants and Inverses of Rectangular or Singular Matrices Using Residue Arithmetic
Publications de l'Institut Mathématique, _N_S_60 (1996) no. 74, p. 15

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We make an application of the single or multiple modulus residue arithmetic in exact computation of the determinants and pseudoinverses of rectangular or singular matrices with rational entries, using the notions introduced by M. Stojaković and M. Radić. Proper selections of a prime modulus (or moduli) in particular algorithms are given. Also, a comparison of different estimates for the suitable choice of modulus (or moduli) is given.
Classification : 11Y99 
@article{PIM_1996_N_S_60_74_a2,
     author = {Predrag Stanimirovi\'c},
     title = {Computation of {Determinants} and {Inverses} of {Rectangular} or {Singular} {Matrices} {Using} {Residue} {Arithmetic}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {15 },
     publisher = {mathdoc},
     volume = {_N_S_60},
     number = {74},
     year = {1996},
     zbl = {1029.65502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1996_N_S_60_74_a2/}
}
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Predrag Stanimirović. Computation of Determinants and Inverses of Rectangular or Singular Matrices Using Residue Arithmetic. Publications de l'Institut Mathématique, _N_S_60 (1996) no. 74, p. 15 . http://geodesic.mathdoc.fr/item/PIM_1996_N_S_60_74_a2/