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.