PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 60(74), pp. 15--26 (1996) |
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Computation of determinants and inverses of rectangular or singular matrices using residue arithmeticPredrag Stanimirovi\'cFilozofski fakultet, Ni\v s, YugoslaviaAbstract: 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. Stojakovi\'c and M. Radi\'c. 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 (MSC2000): 11Y99 Full text of the article:
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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