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Results tagged with nonlinear-optimization
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user 2024
Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.
3
votes
1
answer
83
views
Detecting linear operator from actions of powers on subspace
Say I have a sequence of linear operators $A_1,...,A_n$ on a (real) vector space $V_1$. I suspect that there's a second vector space $V_2$, and an operator $A$ on $V_1\oplus V_2$, such that $A_i=(\pi_ …
- 4,593
4
votes
Accepted
Maximal minimum for a sum of two (or more) cosines
So we start with a rational $r=\frac{p}{q}$.
1) Say $2\not|p,2\not|q$. Then taking $x=q\pi$, we get:
$$f_r(x)=\cos(x)+\cos(rx)=\cos(q\pi)+\cos(p\pi)=-2$$
so $r$ is not the argmax.
2) Say $2$ divides …
- 4,593