Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations
Liesen J (1998)
Bielefeld (Germany): Bielefeld University.
Bielefelder E-Dissertation | Englisch
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Autor*in
Liesen, Jörg
Gutachter*in / Betreuer*in
Elsner, Ludwig (Prof. Dr.)
Einrichtung
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
Zitieren
Liesen J. Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University; 1998.
Liesen, J. (1998). Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University.
Liesen, Jörg. 1998. Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University.
Liesen, J. (1998). Construction and analysis of polynomial iterative methods for non-hermitian systems of linear equations. Bielefeld (Germany): Bielefeld University.
Liesen, J., 1998. 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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