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Search: WFRF:(Klymchuk V) > (2017)

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  • Dmytryshyn, Andrii, 1986-, et al. (author)
  • Generalization of Roth's solvability criteria to systems of matrix equations
  • 2017
  • In: Linear Algebra and its Applications. - : Elsevier. - 0024-3795 .- 1873-1856. ; 527, s. 294-302
  • Journal article (peer-reviewed)abstract
    • W.E. Roth (1952) proved that the matrix equation AX - XB = C has a solution if and only if the matrices [Graphics] and [Graphics] are similar. A. Dmytryshyn and B. Kagstrom (2015) extended Roth's criterion to systems of matrix equations A(i)X(i')M(i) - (NiXi"Bi)-B-sigma i = Ci (i = 1,..., s) with unknown matrices X1,, X-t, in which every X-sigma is X, X-T, or X*. We extend their criterion to systems of complex matrix equations that include the complex conjugation of unknown matrices. We also prove an analogous criterion for systems of quaternion matrix equations. (C) 2017 Elsevier Inc. All rights reserved.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Futorny, Vyacheslav (1)
Dmytryshyn, Andrii, ... (1)
Klymchuk, Tetiana (1)
Sergeichuk, Vladimir ... (1)
University
Umeå University (1)
Örebro University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2017 (1)Undo refine

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