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...

Полное описание

Библиографические подробности
Главный автор: Nakatsukasa, Y
Формат: Journal article
Язык:English
Опубликовано: American Mathematical Society 2020