Exploració per autor "Futorny, Vyacheslav"
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Generalization of Roth's solvability criteria to systems of matrix equations
Dmytryshyn, Andrii; Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. (Elsevier, 2017-08-15)
Article
Accés obertW.E. Roth (1952) proved that the matrix equation AX-XB=C has a solution if and only if the matrices View the MathML source and View the MathML source are similar. A. Dmytryshyn and B. Kågström (2015) extended Roth's criterion ... -
Roth’s solvability criteria for the matrix equations AX - XB^ = C and X - AXB^ = C over the skew field of quaternions with aninvolutive automorphism q ¿ qˆ
Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. (Elsevier, 2016-12-01)
Article
Accés obertThe matrix equation AX-XB = C has a solution if and only if the matrices A C 0 B and A 0 0 B are similar. This criterion was proved over a field by W.E. Roth (1952) and over the skew field of quaternions by Huang ... -
Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras
Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchukc, Anatolii P.; Sergeichuk, Vladimir V. (Elsevier, 2018-01-01)
Article
Accés obertFor each two-dimensional vector space V of commuting n×n matrices over a field F with at least 3 elements, we denote by V˜ the vector space of all (n+1)×(n+1) matrices of the form [A¿00] with A¿V. We prove the wildness of ...