Dynamical systems gradient method for solving ill-conditioned linear algebraic systems

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dc.contributor.author Hoang, N. S.
dc.contributor.author Ramm, Alexander G.
dc.date.accessioned 2011-05-20T17:58:21Z
dc.date.available 2011-05-20T17:58:21Z
dc.date.issued 2011-05-20
dc.identifier.uri http://hdl.handle.net/2097/9179
dc.description.abstract A version of the Dynamical Systems Method (DSM) for solving ill-conditioned linear algebraic systems is studied in this paper. An a priori and a posteriori stopping rules are justified. An algorithm for computing the solution using a spectral decomposition of the left-hand side matrix is proposed. Numerical results show that when a spectral decompositon of the left-hand side matrix is available or not computationally expensive to obtain the new method can be considered as an alternative to the Variational Regularization. en_US
dc.relation.uri http://www.springerlink.com/content/017643722716017t/ en_US
dc.rights The final publication is available at www.springerlink.com. en_US
dc.subject Ill-conditioned linear algebraic systems en_US
dc.subject Dynamical Systems Method (DSM) en_US
dc.subject Variational Regularization en_US
dc.title Dynamical systems gradient method for solving ill-conditioned linear algebraic systems en_US
dc.type Article (author version) en_US
dc.date.published 2010 en_US
dc.citation.doi doi:10.1007/s10440-009-9540-3 en_US
dc.citation.epage 204 en_US
dc.citation.issue 2 en_US
dc.citation.jtitle Acta Applicandae Mathematicae en_US
dc.citation.spage 189 en_US
dc.citation.volume 111 en_US
dc.contributor.authoreid ramm en_US

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