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Results tagged with oc.optimization-and-control
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user 78446
Operations research, linear programming, control theory, systems theory, optimal control, game theory
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A generalization of Chebyshev polynomials
What is the monic polynomial $p(x)$ of degree $n$ which minimizes $\max_{x \in [-1,1]} |p(x)|$? The answer is the Chebyshev polynomial, and its largest value on $[-1,1]$ is $1/2^{n-1}$.
Now suppose …
- 113