Bevilacqua, Roberto and Bozzo, Enrico and Del Corso, Gianna M. (2004) Transformations to rank structures by unitary similarity. Technical Report del Dipartimento di Informatica . Università di Pisa, Pisa, IT.
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Abstract
We study transformations by unitary similarity of a nonderogatory matrix to certain rank structured matrices. This kind of transformations can be described in a unified framework that involves Krylov matrices. The rank structures here addressed are preserved by QR iterations, and every iterate can be associated with a suitable Krylov matrix.
| Item Type: | Book |
|---|---|
| Uncontrolled Keywords: | Banded matrices, low rank submatrices, Krylov matrices, QR algorithm |
| Subjects: | Area01 - Scienze matematiche e informatiche > INF/01 - Informatica |
| Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI INFORMATICA |
| Depositing User: | dott.ssa Sandra Faita |
| Date Deposited: | 09 Dec 2014 10:58 |
| Last Modified: | 09 Dec 2014 10:58 |
| URI: | http://eprints.adm.unipi.it/id/eprint/2124 |
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