Abstract
Using the method of complex representation, this paper obtains necessary and sufficient conditions for the existence of a solution or a unique solution to the matrix equation AXB − GXD = E over the quaternion field, extends W. E. Roth's theorem and A. Jameson's theorem to the quaternion field, and gives the representation of the solution.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
