Journal ArticleDOI
The number of roots of a system of equations
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This article is published in Functional Analysis and Its Applications.The article was published on 1979-01-01. It has received 767 citations till now. The article focuses on the topics: Independent equation & Differential algebraic equation.read more
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Convex bodies : the Brunn-Minkowski theory
TL;DR: Inequalities for mixed volumes 7. Selected applications Appendix as discussed by the authors ] is a survey of mixed volumes with bounding boxes and quermass integrals, as well as a discussion of their applications.
Journal ArticleDOI
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation
TL;DR: The structure and design of the software package PHC is described, which features great variety of root-counting methods among its tools and is ensured by the gnu-ada compiler.
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Permutohedra, Associahedra, and Beyond
TL;DR: In this paper, the volume and number of lattice points of the permutohedron Pn are given by certain multivariate polynomials that have remarkable com- binatorial properties.
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Solving systems of polynomial equations
TL;DR: The author presents an algorithm for solving polynomial equations using the combination of multipolynomial resultants and matrix computations, which is efficient, robust and accurate.
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