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Construction of multivariate polynomial approximation kernels via semidefinite programming
- Source :
- SIAM Journal on Optimization, Vol. 33, Iss. 2 (2023) 513-537
- Publication Year :
- 2022
-
Abstract
- 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.
- Subjects :
- Mathematics - Optimization and Control
Subjects
Details
- Database :
- arXiv
- Journal :
- SIAM Journal on Optimization, Vol. 33, Iss. 2 (2023) 513-537
- Publication Type :
- Report
- Accession number :
- edsarx.2203.05892
- Document Type :
- Working Paper