Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/1072
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dc.contributor.authorAzizu, S.-
dc.contributor.authorTwum, S. B.-
dc.date.accessioned2017-06-08T15:25:10Z-
dc.date.available2017-06-08T15:25:10Z-
dc.date.issued2015-
dc.identifier.issn2394-2894-
dc.identifier.urihttp://hdl.handle.net/123456789/1072-
dc.description.abstractPerturbation analysis of Hilbert linear systems arising in applications is reported. This paper shows the impact of error bound in relation to the perturbation of the linear system. The goal is to bound the relative error of A𝒙 = b when both the right-hand side (RHS) vector b and the coefficient matrix A are perturbed slightly and to determine the relevance of small residual vector. We considered a Hilbert system for the conditioning due to its unique sensitivity to perturbation. From our numerical results ran on MATLAB version 7.01, the condition number of the Hilbert matrix gets larger as size (n) of the matrix increases. We also showed that small residual does not necessarily mean that the approximate solution is ‘close’ to the exact solution and again small residual does not imply a small error vector of the linear system.en_US
dc.language.isoenen_US
dc.publisherInternational Journal of Applied Science and Mathematicsen_US
dc.relation.ispartofseriesVol. 2;Issue.6-
dc.subjectCondition Numberen_US
dc.subjectPerturbation Analysisen_US
dc.subjectDense Linear Systemsen_US
dc.subjectNormen_US
dc.subjectError Analysisen_US
dc.subjectSmall Residualen_US
dc.titlePERTURBATION ANALYSIS OF HILBERT LINEAR SYSTEMS ARISING IN APPLICATIONSen_US
dc.typeArticleen_US
Appears in Collections:Faculty of Mathematical Sciences

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