Eigenvectors from Eigenvalues: A python implementation
A paper titled “Eigenvectors from eigenvalues” has recently sparkled heated discussions in Chinese communities on Wechat. This paper, co-authored by Peter Denton, Stephen Parke, Terence Tao and Xining Zhang, introduces a new method for calculating eigenvectors from solely eigenvalues. Some bloggers even describe this method as a revolution to traditional textbook method for calculating eigenvectors. I’ve never heard of this method before and wanted to give it a try to see if it is valid from a computational aspect.
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