On the solutions of some linear complex quaternionic equations

Cennet Bolat; Ahmet Ipek

doi:10.1155/2014/563181

On the solutions of some linear complex quaternionic equations

Cennet Bolat
, Ahmet Ipek

Mustafa Kemal University
Karamanoglu Mehmetbey University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	563181
Journal	Scientific World Journal
Volume	2014
DOIs	https://doi.org/10.1155/2014/563181
Publication status	Published - 2014
Externally published	Yes

Access to Document

10.1155/2014/563181

Cite this

@article{c1c749741e504726bbecd974cf3373b7,

title = "On the solutions of some linear complex quaternionic equations",

abstract = "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.",

author = "Cennet Bolat and Ahmet Ipek",

year = "2014",

doi = "10.1155/2014/563181",

language = "English",

volume = "2014",

journal = "Scientific World Journal",

issn = "2356-6140",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - On the solutions of some linear complex quaternionic equations

AU - Bolat, Cennet

AU - Ipek, Ahmet

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84904678055

U2 - 10.1155/2014/563181

DO - 10.1155/2014/563181

M3 - Article

C2 - 25101318

AN - SCOPUS:84904678055

SN - 2356-6140

VL - 2014

JO - Scientific World Journal

JF - Scientific World Journal

M1 - 563181

ER -

On the solutions of some linear complex quaternionic equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this