Email this article Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations
- Authors: Prokip V.М.1
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Affiliations:
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 236, No 1 (2019)
- Pages: 71-82
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242174
- DOI: https://doi.org/10.1007/s10958-018-4098-0
- ID: 242174
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Abstract
We study the structure of rank-one matrices over the domain of principal ideals relative to equivalence and similarity transformations. The canonical form of rank-one matrices relative to similarity transformations is established. We propose conditions under which a pair of rank-one matrices is reduced to the triangular form by a similarity transformation.
About the authors
V. М. Prokip
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
