An Elementary Approach to Polynomial Optimization on Polynomial Meshes
Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2018, Vol 50, Issue 1
Abstract
A polynomial mesh on a multivariate compact set or manifold is a sequence of finite norming sets for polynomials whose norming constant is independent of degree. We apply the recently developed theory of polynomial meshes to an elementary discrete approach for polynomial optimization on nonstandard domains, providing a rigorous (over)estimate of the convergence rate. Examples include surface/solid subregions of sphere or torus, such as caps, lenses, lunes, and slices.
Authors and Affiliations
Marco Vianello
Keywords
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- EP ID EP540987
- DOI 10.5614/j.math.fund.sci.2018.50.1.7
- Views 103
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