This paper studies a preconditioning strategy applied to certain types of kernel matrices that are increasingly ill conditioned. The ill conditioning of these matrices is tied to the unbounded variation of the Fourier transform of the kernel function. Hence, the technique is to differentiate the kernel to suppress the variation. The idea resembles some existing preconditioning methods for Toepl...

This paper studies probability density estimation on the Siegel space. The Siegel space is a generalization of the hyperbolic space. Its Riemannian metric provides an interesting structure to the Toeplitz block Toeplitz matrices that appear in the covariance estimation of radar signals. The main techniques of probability density estimation on Riemannian manifolds are reviewed. For computational...

We rst review the basic properties of the well known classes of Toeplitz Hankel Vandermonde and other related structured matrices and re examine their correlation to operations with univariate polynomials Then we de ne some natural extensions of such classes of matrices based on their correlation to multivariate polynomials We describe the correlation in terms of the associated operators of mul...

Among the most intensively studied integer sequences are the Fibonacci and Lucas sequences. Both are instances of second order recurrences [8], both satisfying sk−2+sk−1 = sk for all integers k, but where the fibonacci sequence (fi) begins with f0 = 0 and f1 = 1, the Lucas sequence (li) has l0 = 2 and l1 = 1. Several authors have recently been interested in the singular values of Toeplitz, circ...