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邱彦奇——The metric projections onto closed convex cones in a Hilbert space
发布人:许全华  发布时间:2020-09-08   浏览次数:10

题目:The metric projections onto closed convex cones in a Hilbert space


报告人:邱彦奇(中科院数学与系统科学研究院)


时间:9月16日,16:00-17:00


地点:腾讯会议,会议 ID:845 302 989


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.