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A Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrix


Metadata FieldValueLanguage
dc.contributor.advisorTam, Tin-Yau
dc.contributor.advisorKuperberg, Krystynaen_US
dc.contributor.advisorHarris, Gregen_US
dc.contributor.advisorHolmes, Randallen_US
dc.contributor.authorPell, Melindaen_US
dc.date.accessioned2008-09-09T21:19:54Z
dc.date.available2008-09-09T21:19:54Z
dc.date.issued2006-12-15en_US
dc.identifier.urihttp://hdl.handle.net/10415/573
dc.description.abstractWe examine two proofs of Yamamoto’s theorem regarding the asymptotic relationship between singular values and eigenvalue moduli of a matrix. The first proof is by T. Yamamoto in 1967 and makes use of compound matrices. The second is by R. Mathias in 1990 through utilization of an interlacing theorem for singular values. We compare the two proofs.en_US
dc.language.isoen_USen_US
dc.subjectMathematics and Statisticsen_US
dc.titleA Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrixen_US
dc.typeThesisen_US
dc.embargo.lengthNO_RESTRICTIONen_US
dc.embargo.statusNOT_EMBARGOEDen_US

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