Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations

We constitute some necessary and sufficient conditions for the system A1X1=C1, X1B1=C2, A2X2=C3, X2B2=C4, A3X1B3+A4X2B4=Cc, to have a solution over the quaternion skew field in this paper. A novel expression of general solution to this system is also established when it has a solution. The least nor...

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Bibliographic Details
Main Authors: Abdur Rehman, Ivan Kyrchei, Muhammad Akram, Ilyas Ali, Abdul Shakoor
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2019/9072690