Eigenvectors from Eigenvalues

Open discussion regarding features, bugs, issues, vendors, etc.

Eigenvectors from Eigenvalues

Postby markusm73 » Thu Nov 14, 2019 1:37 pm

I'm sure the following publication has not gone entirely unnoticed in the LAPACK community:

Eigenvectors from Eigenvalues
https://arxiv.org/abs/1908.03795

This is a pretty astoundingly elegant result. If there is a way to compute the required submatrix eigenvalues of symmetric tridiagonal matrices efficiently, maybe even sharing computations between them, we could calculate eigenvectors directly from these eigenvalues. This could conceivably improve both the accuracy and speed of obtaining all eigenvectors. Does anybody already know whether this is possible?
markusm73
 
Posts: 18
Joined: Tue Jun 14, 2005 8:10 pm
Location: New York

Re: Eigenvectors from Eigenvalues

Postby Julien Langou » Sun Nov 17, 2019 11:28 pm

Julien Langou
 
Posts: 835
Joined: Thu Dec 09, 2004 12:32 pm
Location: Denver, CO, USA


Return to User Discussion

Who is online

Users browsing this forum: No registered users and 6 guests