The structure of iterative methods for symmetric linear discrete ill-posed problems

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dc.contributor.author Dykes, L.
dc.contributor.author Marcellán Español, Francisco José
dc.contributor.author Reichel, L.
dc.date.accessioned 2016-07-07T08:04:37Z
dc.date.available 2016-07-07T08:04:37Z
dc.date.issued 2014-03-01
dc.identifier.bibliographicCitation BIT, 2014, 54, pp. 129-145.
dc.identifier.issn 0006-3835
dc.identifier.uri http://hdl.handle.net/10016/23298
dc.description.abstract The iterative solution of large linear discrete ill-posed problems with an error contaminated data vector requires the use of specially designed methods in order to avoid severe error propagation. Range restricted minimal residual methods have been found to be well suited for the solution of many such problems. This paper discusses the structure of matrices that arise in a range restricted minimal residual method for the solution of large linear discrete ill-posed problems with a symmetric matrix. The exploitation of the structure results in a method that is competitive with respect to computer storage, number of iterations, and accuracy.
dc.description.sponsorship Acknowledgments We would like to thank the referees for comments. The work of F. M. was supported by Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain under grant MTM2012-36732-C03-01. Work of L. R. was supported by Universidad Carlos III de Madrid in the Department of Mathematics during the academic year 2010-2011 within the framework of the Chair of Excellence Program and by NSF grant DMS-1115385.
dc.format.extent 17
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Springer
dc.rights © Springer, 2014
dc.subject.other Ill-posed problem
dc.subject.other Iterative method
dc.subject.other Truncated iteration
dc.title The structure of iterative methods for symmetric linear discrete ill-posed problems
dc.type article
dc.relation.publisherversion http://dx.doi.org/10.1007/s10543-014-0476-2
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1007/s10543-014-0476-2
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM-2012-36732-C03-01
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 129
dc.identifier.publicationissue 1
dc.identifier.publicationlastpage 145
dc.identifier.publicationtitle BIT Numerical Mathematics
dc.identifier.publicationvolume 54
dc.identifier.uxxi AR/0000014778
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