@article{10902/28468, year = {2022}, url = {https://hdl.handle.net/10902/28468}, abstract = {The condition number for eigenvector computations is a well– studied quantity. But how small can it possibly be?: Specifically, what matrices are perfectly conditioned with respect to eigenvector computations? In this note we answer this question for n × n matrices, giving a solution that is exact to first-order as n → ∞.}, publisher = {American Mathematical Society}, publisher = {Mathematics of Computation, 2022, 91(335), 1237-1245}, title = {How well-conditioned can the eigenvector problem be?}, author = {Beltrán Álvarez, Carlos and Bétermin, Laurent and Grabner, Peter and Steinerberger, Stefan}, }