The Mathematical Institute, University of Oxford, Eprints Archive

Some Equivalent Characterizations of the Polynomial Numerical Hull of Degree $k$

Burke, James and Greenbaum, Anne (2004) Some Equivalent Characterizations of the Polynomial Numerical Hull of Degree $k$. Technical Report. Unspecified. (Submitted)

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Abstract

In this paper we establish several equivalent characterizations, some of which provide a natural distinction between boundary points and interior points, and hence should prove useful for computations. Additionally, we use one of these equivalent definitions to prove that the polynomial numerical hull of any fixed degree $k$ for a Toeplitz matrix whose symbol is piecewise continuous approaches all or most of that of the infinite-dimensional Toeplitz operator, as the matrix goes to infinity.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1154
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:43
Last Modified:14 May 2011 08:43

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