We design an algorithm for finding solutions with nonzero coordinates of systems of polynomial equations which has a better complexity bound than for known algorithms when a system contains a few linearly independent monomials. For parametric binomial systems we construct an algorithm of polynomial complexity. We discuss the applications of these algorithms in the context of chemical reaction systems.
CITATION STYLE
Grigoriev, D., & Weber, A. (2012). Complexity of solving systems with few independent monomials and applications to mass-action kinetics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7442 LNCS, pp. 143–154). Springer Verlag. https://doi.org/10.1007/978-3-642-32973-9_12
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