Complexity Polynomials Sparse polynomial systems Algorithms Computational complexity Sparse resultant Affine space Algorithms and complexity Approximation theory Combinatorial structures Consistency problem Finite set Game theory Geometric resolution Homotopies Integer programming Multihomogeneous resultants Multihomogeneous system Nash equilibria Noncooperative game theory Numerical algorithms Poisson-type product formula Polynomial equation solving Polynomial equation system; arithmetic circuit; shape (or primitive element) lemma; Newton-Hensel iteration Pre-processing Probabilistic algorithm Problem solving Real multivariate polynomials Real roots Sign conditions