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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.ST2017
Intrinsic Analysis of the Sample Fréchet Mean and Sample Mean of Complex Wishart Matrices
L. Zhuang, A. T. Walden
We consider two types of averaging of complex covariance matrices, a sample mean (average) and the sample Fréchet mean. We analyse the performance of these quantities as estimators…