Please use this identifier to cite or link to this item: https://doi.org/10.1002/nla.702
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dc.titleCondition numbers and perturbation analysis for the Tikhonov regularization of discrete ill-posed problems
dc.contributor.authorChu, D.
dc.contributor.authorLin, L.
dc.contributor.authorTan, R.C.E.
dc.contributor.authorWei, Y.
dc.date.accessioned2014-10-28T02:32:32Z
dc.date.available2014-10-28T02:32:32Z
dc.date.issued2011-01
dc.identifier.citationChu, D., Lin, L., Tan, R.C.E., Wei, Y. (2011-01). Condition numbers and perturbation analysis for the Tikhonov regularization of discrete ill-posed problems. Numerical Linear Algebra with Applications 18 (1) : 87-103. ScholarBank@NUS Repository. https://doi.org/10.1002/nla.702
dc.identifier.issn10705325
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103034
dc.description.abstractOne of the most successful methods for solving the least-squares problem minx Ax-b 2 with a highly ill-conditioned or rank deficient coefficient matrix A is the method of Tikhonov regularization. In this paper, we derive the normwise, mixed and componentwise condition numbers and componentwise perturbation bounds for the Tikhonov regularization. Our results are sharper than the known results. Some numerical examples are given to illustrate our results. © 2010 John Wiley & Sons, Ltd.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1002/nla.702
dc.sourceScopus
dc.subjectCondition number
dc.subjectLinear least squares
dc.subjectPerturbation
dc.subjectTikhonov regularization
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1002/nla.702
dc.description.sourcetitleNumerical Linear Algebra with Applications
dc.description.volume18
dc.description.issue1
dc.description.page87-103
dc.identifier.isiut000286495500005
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