Christoffel-Darboux semialgebraic approximation of a graph from its moments
Here is a Matlab prototype of the algorithm described in the paper S. Marx, E. Pauwels, T. Weisser, D. Henrion, J. B. Lasserre. Tractable semi-algebraic approximation using Christoffel-Darboux kernel, HAL 02085835, April 2019. Constructive Approximation, 54(3):391-429, 2021.
Source file momgraph.m for Matlab - requires the auxilliary files powvec.m and powmat.m
And here are the illustrative examples:
signfun.m for the sign function
discfun.m for the three discontinuous functions and their interpolation
ocptraj.m for trajectories for optimal control - requires GloptiPoly 3 and any conic solver (e.g. MOSEK)
disks.m for the bivariate disk examples
pdesol.m for discontinuous solutions of the Burgers PDE from the moment matrices in pdemom.mat
Last modified in February 2022.