Eigenvectors from Eigenvalues. Denton, P. B.; Parke, S. J.; Tao, T.; and Zhang, X.
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}
}