Authors: | Dinčić, Nebojša Đorđević, Bogdan |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | On the intrinsic structure of the solution set to the Yang–Baxter-like matrix equation |
Journal: | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas |
Volume: | 116 |
Issue: | 2 |
First page: | 73 |
Issue Date: | 1-Apr-2022 |
Rank: | ~M21a |
ISSN: | 1578-7303 |
DOI: | 10.1007/s13398-022-01214-8 |
Abstract: | In this paper we analyze isolated and connected points of the solution set to the Yang–Baxter-like matrix equation AXA= XAX. In particular, if A is a regular matrix, we prove that the trivial solution X= 0 is always isolated in the solution set, while the trivial solution X= A is isolated under some natural conditions, and an example shows that these conditions cannot be omitted. Conversely, we de... |
Keywords: | Generalized inverses | Nonlinear matrix equations | Sylvester equation | Yang–Baxter-like matrix equation |
Publisher: | Springer Link |
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