On the Solutions of Some Linear Complex Quaternionic Equations

Some complex quaternionic equations in the type AX − XB = C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and s...

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Detalles Bibliográficos
Autores principales: Bolat, Cennet, İpek, Ahmet
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4101936/
https://www.ncbi.nlm.nih.gov/pubmed/25101318
http://dx.doi.org/10.1155/2014/563181
Descripción
Sumario:Some complex quaternionic equations in the type AX − XB = C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and sufficient conditions for the solvability and the general expressions of the solutions are obtained.

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