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dc.contributor.authorVan Vleck, Erik S.
dc.date.accessioned2015-03-30T21:16:16Z
dc.date.available2015-03-30T21:16:16Z
dc.date.issued2010-03-17
dc.identifier.citationVan Vleck, Erik. "On the Error in the Product QR Decomposition." (2010) SIAM. J. Matrix Anal. & Appl., 31(4), 1775–1791. (17 pages). http://dx.doi.org/10.1137/090761562.en_US
dc.identifier.urihttp://hdl.handle.net/1808/17246
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1137/090761562.en_US
dc.description.abstractWe develop both a normwise and a componentwise error analysis for the QR factorization of long products of invertible matrices. We obtain global error bounds for both the orthogonal and upper triangular factors that depend on uniform bounds on the size of the local error, the local degree of nonnormality, and integral separation, a natural condition related to gaps between eigenvalues but for products of matrices. We illustrate our analytical results with numerical results that show the dependence on the degree of nonnormality and the strength of integral separation.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.subjectQR decompositionen_US
dc.subjectmatrix producten_US
dc.subjectintegral separationen_US
dc.titleOn the Error in the Product QR Decompositionen_US
dc.typeArticle
kusw.kuauthorVan Vleck, Erik
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1137/090761562
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item meets KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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