By Dumas J.-G.
Summary: In each fi eld of scientifi с and business learn, the extension of using machine technology has ended in an expanding want for computing strength. it truly is therefore important to exploit those computing assets in parallel. during this thesis we search to compute the canonical kind of very huge sparse matrices with integer coeffi cients, particularly the integer Smith general shape. via 'Very large'', we suggest 1000000 indeterminates and one million equations, i.e. thousand billion of coeffi cients. these days, such platforms should not even storable. even if, we're drawn to structures for which a lot of those coeffi cients are exact; for that reason we speak about sparse platforms. we wish to remedy those platforms in a precise approach, i.e. we paintings with integers or in smaller algebraic constructions the place all of the simple mathematics operations are nonetheless legitimate, particularly fi nitefi elds. The rebuilding of the complete resolution from the smaller ideas is then really effortless.
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