The General Solution of Quaternion Matrix Equation Having - Skew-Hermicity and Its Cramer’s Rule

Abdur Rehman, Ivan Kyrchei, Ilyas Ali, Muhammad Akram and Abdul Shakoor

Mathematical Problems in Engineering, 2019, vol. 2019, 1-25

Abstract:

We determine some necessary and sufficient conditions for the existence of the - skew-Hermitian solution to the following system over the quaternion skew field and provide an explicit expression of its general solution. Within the framework of the theory of quaternion row-column noncommutative determinants, we derive its explicit determinantal representation formulas that are an analog of Cramer’s rule. A numerical example is also provided to establish the main result.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7939238

DOI: 10.1155/2019/7939238

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