Sharp error bounds for Ritz vectors and approximate singular vectors

We derive sharp bounds for the accuracy of approximate eigenvectors (Ritz vectors) obtained by the Rayleigh-Ritz process for symmetric eigenvalue problems. Using information that is available or easy to estimate, our bounds improve the classical Davis-Kahan theorem by a factor that can be arbitraril...

詳細記述

書誌詳細
第一著者: Nakatsukasa, Y
フォーマット: Journal article
言語:English
出版事項: American Mathematical Society 2020