Sajjad Rahmany

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In this paper, we propose an efficient method to solve polynomial systems whose equations are left invariant by the action of a finite group G. The idea is to simultaneously compute a truncated SAGBI-Gr¨obner bases (a generalisation of Gr¨obner bases to ideals of subalgebras of polynomial ring) and a Gr¨obner basis in the invariant ring(More)
There are several efficient methods to solve linear interval polynomial systems in the context of interval computations, however, the general case of interval polynomial systems is not yet covered as well. In this paper we introduce a new elimination method to solve and analyse interval polynomial systems, in general case. This method is based on(More)