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Thesis

Preconditioning for Toeplitz-related systems

Abstract:

This thesis concerns preconditioning for Toeplitz-related systems. Specifically, we consider functions of Toeplitz matrices, i.e. h(Tn)xn=bn, where h(z) is an analytic function and Tnϵℂn×n is a Toeplitz matrix.

We propose the absolute value circulant matrix |h(Cn)| as a preconditioner for h(Tn), where Cnϵℂ<...>

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:1cdc201a-edeb-4dee-a28b-b0fc3e890623
Deposit date:
2019-01-29

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