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Title: Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations

Journal Article · · Journal of Mathematical Sciences
 [1]
  1. Ukrainian National Academy of Sciences, Pidstryhach Institute for Applied Problems in Mechanics and Mathematics (Ukraine)

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.

OSTI ID:
22773580
Journal Information:
Journal of Mathematical Sciences, Vol. 236, Issue 1; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
Country of Publication:
United States
Language:
English

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