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Nested similarity in matrix theory

de Paor, Annraoi and Ward, Tomás E. orcid logoORCID: 0000-0002-6173-6607 (2020) Nested similarity in matrix theory. Mathematical Proceedings of the Royal Irish Academy, 120A (1). pp. 19-24.

Abstract
We explore the problem of making two matrices similar while their submatrices are similar at the same time. An approach is adopted based on ideas from state variable feedback and control theory, resulting in an easily implementable solution to the problem. The method is perfectly general and puts no constraints on the matrices other than that they are real.
Metadata
Item Type:Article (Published)
Refereed:Yes
Subjects:Mathematics
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Computing
Research Initiatives and Centres > INSIGHT Centre for Data Analytics
Publisher:Royal Irish Academy
Official URL:http://dx.doi.org/10.3318/pria.2020.120.03
Copyright Information:© 2020 Royal Irish Academy
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
Funders:AIB
ID Code:25326
Deposited On:07 Jan 2021 15:45 by Tomas Ward . Last Modified 17 Jun 2021 12:55
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