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dc.contributor.authorGragg, William B.
dc.contributor.authorAmmar, Gregory S.
dc.contributor.authorReichel, Lother
dc.date1988-11
dc.date.accessioned2013-03-07T21:52:19Z
dc.date.available2013-03-07T21:52:19Z
dc.date.issued1988-11
dc.identifier.urihttp://hdl.handle.net/10945/29778
dc.description.abstractWe consider the numerical construction of a unitary Hessenberg matrix from spectral data using an inverse QR algorithm. Any unitary upper Hessenberg matrix H with nonnegative subdiagonal elements can be represented by 2n - 1 real parameters. This representation, which we refer to as the Schur parameterization of H, facilitates the development of efficient algorithms for this class of matrices. We show that a unitary upper Hessenberg matrix H with positive subdiagonal elements is determined by its eigenvalues and the eigenvalues of a rank-one unitary perturbation of H. The eigenvalues of the perturbation strictly interlace the eigenvalues of H on the unit circle. Inverse eigenvalue problem, Unitary matrix, Orthogonal polynomialen_US
dc.description.sponsorshipprepared in conjunction with research conducted for the National Science Foundation and for the Naval Postgraduate School Research Council and funded by the Naval Postgraduate School Research Council.en_US
dc.description.urihttp://archive.org/details/constructingunit00grag
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.subject.lcshALGORITHMS.en_US
dc.titleConstructing a unitary Hessenberg matrix from spectral dataen_US
dc.typeTechnical Reporten_US
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.subject.authorinverse eigenvalue problemen_US
dc.subject.authorunitary matrixen_US
dc.subject.authororthogonal polynomialen_US
dc.description.funderO&MN, Direct fundingen_US
dc.description.recognitionNAen_US
dc.identifier.oclcNA
dc.identifier.npsreportNPS-53-89-005


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