Browsing by Subject "Toeplitz matrices"

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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 ...
A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices

Rabe, H.; Ran, André (Elsevier, 2014)

A special Toeplitz matrix of the form View the MathML sourceTn(fn)=T0,n+fn(T0,n−1)⁎, where T0,nT0,n is the n×nn×n Toeplitz matrix with ones on the diagonal and negative ones on the first upper diagonal, and fnfn some ...