Papers › Construction of multivariate polynomial approximation kernels via semidefinite programming

Construction of multivariate polynomial approximation kernels via semidefinite programming

11 Mar 2022arXiv:2203.05892links table onlyarchive 2025-07-28

Felix Kirschner, Etienne de Klerk

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In this paper we construct a hierarchy of multivariate polynomial approximation kernels via semidefinite programming. We give details on the implementation of the semidefinite programs defining the kernels. Finally, we show how a symmetry reduction may be performed to increase numerical tractability.

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