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math.ST2019
Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications
J. F. Lutzeyer, A. T. Walden
The extended Davis-Kahan theorem makes use of polynomial matrix transformations to produce bounds at least as tight as the standard Davis-Kahan theorem. The optimization problem of…
math.ST2019
Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory
J. F. Lutzeyer, A. T. Walden
The Davis-Kahan theorem can be used to bound the distance of the spaces spanned by the first eigenvectors of any two symmetric matrices. We extend the Davis-Kahan theorem to ap…