Computation and applications of the Newton polyhedrons

Alexander B Aranson

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 3, 155-160

Abstract: We consider the multivariate Laurent polynomialf(X)=∑aQXQ,Q∈Dwith coefficients aQ∈R or C and D is some set in Zn. The set D=D(f)={Q: aQ≠0} is called the support of the polynomial f(X). The convex hull M=M(f) of the set D is called the Newton polyhedron of the polynomial f(X). There are important correspondences between properties of the polynomial f(X) and of its Newton polyhedron M(f) that were studied by Bruno, Soleev, Khovansgfkii and others.

Keywords: Systems of differential polynomials; Newton polyhedron; Intersections of normal cones; Truncated systems (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:57:y:2001:i:3:p:155-160

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