Bounding the Nullities of Random Block Hankel Matrices: An Alternative Approach

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dc.contributor.authorEberly, Wayneeng
dc.contributor.authorHovinen, Bradfordeng
dc.date.accessioned2008-06-04T20:29:42Z
dc.date.available2008-06-04T20:29:42Z
dc.date.computerscience2005-05-10eng
dc.date.issued2005-05-10eng
dc.description.abstractBounds are developed for the probability that various randomly generated block Hankel matrices are rank-deficient. These bounds are potentially of use to analyze the efficiency and reliability of various randomized block Wiedemann and block Lanczos algorithms, that are either currently under development or now in use, when these are applied to solve systems of linear equations and sample from the null space of matrices over small finite fields. The bounds that are presented here resemble ones that have previously been obtained using other arguments or that could likely be obtained by straightforward extensions of arguments that have recently been presented. The method used to obtain these bounds in this report is rather different and may be of some interest in its own right: It relies only on estimates of the number of irreducible polynomials of a given degree over a finite field and on elementary linear algebra.eng
dc.description.notesWe are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.caeng
dc.identifier.department2005-779-10eng
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/30586
dc.identifier.urihttp://hdl.handle.net/1880/46624
dc.language.isoEngeng
dc.publisher.corporateUniversity of Calgaryeng
dc.publisher.facultyScienceeng
dc.subjectComputer Scienceeng
dc.titleBounding the Nullities of Random Block Hankel Matrices: An Alternative Approacheng
dc.typeunknown
thesis.degree.disciplineComputer Scienceeng
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