74 citations · 368 across the 42 of their papers we have counts for
43 papers
Determinant formulas for finite Toeplitz plus Hankel matrices with rational symbols
Estelle Basor, Kent E. Morrison
In 1975 K. Michael Day produced an exact formula for the determinants of finite Toeplitz matrices whose symbols are rational. The answer is a sum that involves powers of the roots…
Exact mean and covariance formulas after diagonal transformations of a multivariate normal
Rebecca Morrison, Estelle Basor
Consider and . We call this a diagonal transformation of a mult…
Analytic solutions to nonlinear ODEs via spectral power series
Estelle Basor, Rebecca Morrison
Solutions to most nonlinear ordinary differential equations (ODEs) rely on numerical solvers, but this gives little insight into the nature of the trajectories and is relatively ex…
Asymptotics of block Toeplitz determinants with piecewise continuous symbols
E. Basor, T. Ehrhardt, J. A. Virtanen
We determine the asymptotics of the block Toeplitz determinants as for matrix-valued piecewise continuous functions with a finitely many…
Factoring determinants and applications to number theory
Estelle Basor, Brian Conrey
Products of shifted characteristic polynomials, and ratios of such products, averaged over the classical compact groups are of great interest to number theorists as they model simi…
Diagonal Nonlinear Transformations Preserve Structure in Covariance and Precision Matrices
Rebecca E Morrison, Ricardo Baptista, Estelle L Basor
For a multivariate normal distribution, the sparsity of the covariance and precision matrices encodes complete information about independence and conditional independence propertie…