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Added missing terms for eigenvalue gradient #12

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MartinSundin
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Hi,

I found a small typo in the solution for 2.4.b.
The solution does not take into account that when W is perturbed, the singular vectors are also perturbed. However, the inner products like $u_n^\top \Delta u_n$ are all of order $\epsilon$, so they vanish in the limit.

I have made the necessary changes. Please have a look and let me know what you think.

Best Regards,
Martin Sundin

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Hi @michaelgutmann,

I have updated the proof to me shorter and easier to read.
Can you please have a look and let me know if everything looks fine?

Best Regards,
Martin Sundin

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