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The Periodic QR Algorithm is a Disguised QR Algorithm

Please always quote using this URN:urn:nbn:de:0296-matheon-308
  • The periodic QR algorithm is a strongly backward stable method for computing the eigenvalues of products of matrices, or equivalently for computing the eigenvalues of block cyclic matrices. The main purpose of this paper is to show that this algorithm is numerically equivalent to the standard QR algorithm. It will be demonstrated how this connection may be used to develop a better understanding of the periodic QR algorithm.

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Metadaten
Author:Daniel Kressner
URN:urn:nbn:de:0296-matheon-308
Referee:Roswitha März
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2003/12/29
Release Date:2003/12/22
Preprint Number:19
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