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Thesis

Nonstandard inner products and preconditioned iterative methods

Abstract:

By considering Krylov subspace methods in nonstandard inner products, we develop in this thesis new methods for solving large sparse linear systems and examine the effectiveness of existing preconditioners. We focus on saddle point systems and systems with a nonsymmetric, diagonalizable coefficient matrix.

For symmetric saddle point systems, we present a preconditioner that renders the preconditioned saddle point matrix nonsymmetric but self-adjoint with respect to an inner product ...

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Institution:
University of Oxford
Research group:
Numerical Analysis Group
Oxford college:
Brasenose College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:2e5b636b-1145-461e-80fa-ea2041ec476f
Local pid:
ora:6021

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