Browsing by Author "Rabe, Hermann"
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Aspects of Toeplitz operators and matrices : asymptotics, norms, singular values
Rabe, Hermann (North-West University, 2015)The research contained in this thesis can be divided into two related, but distinct parts. The rst chapter deals with block Toeplitz operators de ned by rational matrix function symbols on discrete sequence spaces. Here ... -
Asymptotics of the smallest singular value of a class of toeplitz–generated matrices and related finite rank perturbations
Rabe, Hermann; Ran, André C.M. (Springer Link, 2013)Square matrices of the form Xn = Tn+fn(T −1 n ) ∗ , where Tn is an n×n invertible banded Toeplitz matrix and fn some positive sequence are considered. The norms of their inverses are described asymptotically as their ... -
The finite section method for infinite Vandermonde matrices and applications
Rabe, Hermann (North-West University, 2007)In this thesis we investigate a very well known and relevant question, i.e, to solve a linear equation Ax = b, where A and b are given. In our study A denotes an infinite matrix of special form called a Vandermonde matrix ...