Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations

Liesen J (01T00:00:00Z.01.1970)
Bielefeld (Germany): Bielefeld University.

Bielefelder E-Dissertation| Englisch
 
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Autor/in
Liesen, Jörg
Betreuer
Elsner, Ludwig (Prof. Dr.)
Abstract / Bemerkung
This thesis contributes to the development of the rapidly growing field of polynomial iterative methods (PIMs) for systems of linear equations. Our main contributions are the construction and analysis of the ABF method, a new hybrid PIM, and new convergence results for GMRES, a well-known parameter-free PIM. We furthermore derive a new polynomial preconditioner from the iteration polynomials of the ABF method.
Stichworte
Lineares Gleichungssystem , Schwach besetzte Matrix , Iteration , Polynom , , Polynomial iterative methods , Krylov subspace methods , Faber polynomials , GMRES
Jahr
1998
Page URI
https://pub.uni-bielefeld.de/record/2301740

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Liesen J. Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University; 1998.
Liesen, J. (01T00:00:00Z.01.1970). Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University.
Liesen, J. 01T00:00:00Z.01.1970 Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University.
Liesen, J., 01T00:00:00Z.01.1970 Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations, Bielefeld (Germany): Bielefeld University.
J. Liesen, Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations, Bielefeld (Germany): Bielefeld University, 1998.
Liesen, J.: Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld University, Bielefeld (Germany) (1998).
Liesen, Jörg. Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University, 1998.
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