Generalization of Roth's solvability criteria to systems of matrix equations
Visualitza/Obre
Cita com:
hdl:2117/104143
Tipus de documentArticle
Data publicació2017-08-15
EditorElsevier
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
W.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 to systems of matrix equations View the MathML source(i=1,…,s) with unknown matrices X1,…,Xt, in which every Xs is X , X¿, 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.
CitacióDmytryshyn, A., Futorny, V., Klymchuk, T., Sergeichuk , V. Generalization of Roth's solvability criteria to systems of matrix equations. "Linear algebra and its applications", 15 Agost 2017, vol. 527, p. 1-11.
ISSN0024-3795
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S0024379517302367
Col·leccions
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
generalization.pdf | 143,6Kb | Visualitza/Obre |