Realizability and inscribability for simplicial polytopes via nonlinear optimization

We show that nonlinear optimization techniques can successfully be applied to realize and to inscribe matroid polytopes and simplicial spheres. In order to show non-realizability of simplicial spheres, we extend the method of finding biquadratic final polynomials for matroid polytopes to partial mat...

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Bibliographic Details
Published in:	Mathematical programming Vol. 166; no. 1-2; pp. 273 - 295
Main Author:	Firsching, Moritz
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2017 Springer Nature B.V
Subjects:	Calculus of Variations and Optimal Control; Optimization Classification Combinatorics Full Length Paper Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Nonlinear programming Numerical Analysis Optimization Optimization techniques Polytopes Realizability Theoretical 52C40 52B40 90C30 52B11
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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