• 科學研究
    報告題目:

    The metric projections onto closed convex cones in a Hilbert space

    報告人:

    邱彥奇 研究員 (中國科學院數學與系統科學研究院)

    報告時間:

    報告地點:

    理學院東北樓四樓報告廳(404)

    報告摘要:

    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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