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...

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מחבר ראשי: Nakatsukasa, Y
פורמט: Journal article
שפה:English
יצא לאור: American Mathematical Society 2020