EMIS ELibM Electronic Journals 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 arithmetic

Predrag Stanimirovi\'c

Filozofski fakultet, Ni\v s, Yugoslavia

Abstract: 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

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