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 2010-07-14
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://doi.org/10.1007/s10440-009-9540-3 en_US
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). en_US
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
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 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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