94 citations · 912 across the 61 of their papers we have counts for
3 papers · 2 filters
Tame systems of linear and semilinear mappings
Tatiana Klimchuk, Dmitry Kovalenko, Tetiana Rybalkina +1
We study systems of linear and semilinear mappings considering them as representations of a directed graph with full and dashed arrows: a representation of is given by assi…
Consimilarity and quaternion matrix equations ,
Tatiana Klimchuk, Vladimir V. Sergeichuk
L.Huang [Linear Algebra Appl. 331 (2001) 21-30] gave a canonical form of a quaternion matrix with respect to consimilarity transformations in which is a…
Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings
Vyacheslav Futorny, Tetiana Rybalkina, Vladimir V. Sergeichuk
We give a method for constructing a regularizing decomposition of a matrix pencil, which is formulated in terms of the linear mappings. We prove that two pencils are topologically…