科学研究
报告题目:

The metric projections onto closed convex cones in a Hilbert space

报告人:

邱彦奇 研究员 (中国科学院数学与系统科学研究院)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

We study the metric projection onto the closed convex cone in a real Hilbert space generated by a sequence. We provide a sufficient condition under which this closed convex cone can be more explicitly described. Then by adapting classical results on general convex cones, we give a useful description of the metric projection of a vector onto such convex cone. As applications, we obtain the best approximations of many concrete functions in $L^2([-1,1])$ by polynomials with non-negative coefficients. This talk is based on a joint work with Zipeng Wang.

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