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Definition 2

[16W]Given \(x_ 1,\ldots x_ k∈ ℝ^ n\) , given \(t_ 1,\ldots t_ kβ‰₯ 0\) with \(t_ 1+\cdots + t_ k=1\), the sum

\[ x_ 1 t_ 1+\cdots + x_ k t_ k \]

is a convex combination of the points \(x_ 1,\ldots x_ k\).

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Authors: "Mennucci , Andrea C. G." .
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  • convex combination
  • convex function
  • convex set
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