通过半定规划构造多元多项式逼近核

Construction of Multivariate Polynomial Approximation Kernels via Semidefinite Programming

SIAM Journal on Optimization · 2023
被引 0
ABS 3

中文导读

本文通过半定规划构造了一族多元多项式逼近核,给出了实现细节,并展示了如何利用对称性约化提高数值可解性。

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.

半定规划多项式逼近数值优化对称性约化