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Book Sections Year : 1998

Symbolic Recipes for Polynomial System Solving


In many branches of science and engineering where mathematics is used, the resolution of a problem coming from practice is often reduced to the search of a solution for a system of (algebraic or differential) equations modelling the considered problem. From our point of view, to solve a polynomial system of equations is to rewrite it (i.e., to present it in a different form) in such a way that some ‘nontrivial’ information about its solutions can be derived from this new presentation. The information mentioned above can be related to the existence or non-existence of complex or real solutions, to the number of real or complex solutions, to the approximation of one or several solutions, etc.


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Dates and versions

inria-00098570 , version 1 (25-09-2006)



Laureano Gonzalez-Vega, Fabrice Rouillier, Marie-Françoise Roy. Symbolic Recipes for Polynomial System Solving. A.M. Cohen, H. Cuypers and H. Sterk. Some Tapas of Computer Algebra, 4, Springer, pp.34-65, 1998, Algorithms and Computation in Mathematics, 3-540-63480-0. ⟨10.1007/978-3-662-03891-8_2⟩. ⟨inria-00098570⟩
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