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    Asymptotics of the smallest singular value of a class of toeplitz–generated matrices and related finite rank perturbations

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    Date
    2013
    Author
    Rabe, Hermann
    Ran, André C.M.
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    Abstract
    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 size n increases. Certain finite rank perturbations of these matrices are shown to have no effect on this behaviour.
    URI
    http://hdl.handle.net/10394/13998
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    • Faculty of Natural and Agricultural Sciences [4855]

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