Eigenvectors from Eigenvalues. Denton, P. B.; Parke, S. J.; Tao, T.; and Zhang, X.
Eigenvectors from Eigenvalues [link]Paper  abstract   bibtex   
We present a new method of succinctly determining eigenvectors from eigenvalues. Specifically, we relate the norm squared of the elements of eigenvectors to the eigenvalues and the submatrix eigenvalues.
@article{dentonEigenvectorsEigenvalues2019,
  title = {Eigenvectors from Eigenvalues},
  author = {Denton, Peter B. and Parke, Stephen J. and Tao, Terence and Zhang, Xining},
  date = {2019-08-10},
  url = {http://arxiv.org/abs/1908.03795},
  urldate = {2019-11-15},
  abstract = {We present a new method of succinctly determining eigenvectors from eigenvalues. Specifically, we relate the norm squared of the elements of eigenvectors to the eigenvalues and the submatrix eigenvalues.},
  archivePrefix = {arXiv},
  eprint = {1908.03795},
  eprinttype = {arxiv},
  keywords = {~INRMM-MiD:z-HWUECAVD,computational-science,mathematical-reasoning,mathematics,unexpected-effect},
  primaryClass = {hep-th, physics:math-ph}
}
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