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

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.

Authors:
 [1]
  1. Ukrainian National Academy of Sciences, Pidstryhach Institute for Applied Problems in Mechanics and Mathematics (Ukraine)
Publication Date:
OSTI Identifier:
22773580
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal 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); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CANONICAL TRANSFORMATIONS; MATHEMATICAL SPACE; MATRICES

Citation Formats

Prokip, V. M. Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4098-0.
Prokip, V. M. Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations. United States. doi:10.1007/S10958-018-4098-0.
Prokip, V. M. Tue . "Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations". United States. doi:10.1007/S10958-018-4098-0.
@article{osti_22773580,
title = {Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations},
author = {Prokip, V. M.},
abstractNote = {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.},
doi = {10.1007/S10958-018-4098-0},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}