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Results tagged with nonlinear-optimization
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user 42804
Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.
4
votes
0
answers
283
views
A conjecture about the barycenter of a polytope
Could someone help me with the following conjecture? Thanks a lot!
Suppose I have a polytope $\Delta$ in $\mathbb R^n (n\geq 2)$ with coordinates $(x_1,x_2,\cdots,x_n)$ defined by linear inequalitie …
- 1,121
27
votes
5
answers
2k
views
Is the matrix $\left({2m\choose 2j-i}\right)_{i,j=1}^{2m-1}$ nonsingular?
Suppose we have a $(2m-1) \times (2m-1)$ matrix defined as follows:
$$\left({2m\choose 2j-i}\right)_{i,j=1}^{2m-1}.$$
For example, if $m=3$, the matrix is
$$\begin{pmatrix}6 & 20 & 6& 0 & 0\newline …
- 1,121