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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Nakatsukasa, Y
বিন্যাস: Journal article
ভাষা:English
প্রকাশিত: American Mathematical Society 2020