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Tagged with extreme-points convex-optimization
2 questions
1
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1
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Question on the relation between the Lagrangian Multiplier $\mathcal{L}=r+\lambda g(r,\theta_1,\dotsc,\theta_{N-1})$ and the Hessian of $r$
I want to minimize the radius $r=\sqrt{x^2_1+x^2_2+\dotsb+x^2_N}$, with the constraint $g(r,\theta_1,\dotsc,\theta_{N-1})=0$. Here $g(r,\theta_1,\dotsc,\theta_{N-1})$ is a function defined in the $N$-...
- 375
2
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1
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Maximizing a skew-symmetric 4D cross product
How do I find two orthonormal 4D vectors, $(x_0,x_1,x_2,x_3)$ and $(y_0,y_1,y_2,y_3)$, which maximize this function:
$-19x_1y_0 - 33x_2y_0 + 11x_3y_0 + 19x_0y_1 - 21x_2y_1 - 33x_3y_1 + 33x_0y_2 + ...
- 1,547