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Eigenvectors from Eigenvalues
Posted: Thu Nov 14, 2019 11:52 am
by nikol
Must be very handy...
https://arxiv.org/abs/1908.03795
Discoveries are still made.
I got it from this article
https://www.quantamagazine.org/neutrinos-lead-to-unexpected-discovery-in-basic-math-20191113/
Eigenvectors from Eigenvalues
Posted: Wed Nov 27, 2019 6:25 pm
by mtsm
Saw that, quite romantic I must say...
Eigenvectors from Eigenvalues
Posted: Wed Nov 27, 2019 6:48 pm
by nikol
Forgot to update. Thanks.
It appears that this result is known
(in russian): "Calculation of eigenvalues and eigenvectors in mesh-type problems (Algorithms and error estimations)" (1986)
http://math.ucdenver.edu/~aknyazev/research/papers/old/k.pdf
and there the following is referenced:
"Error bounds in Rayleigh-Ritz approximation of eigenvectors" (1934)
https://pdfs.semanticscholar.org/dd58/71b7a8e6c07071bc04e483c09841919f80e3.pdf
so, thanks to social media for popping up the subject
Eigenvectors from Eigenvalues
Posted: Wed Nov 27, 2019 9:22 pm
by zee4
Did he write the equations by hand? Or is it 80's LaTeX?
Eigenvectors from Eigenvalues
Posted: Wed Nov 27, 2019 9:55 pm
by nikol
As far as I remember 90% of university preprints in soviet times were with handwriting formulas.