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Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations

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  • Ivan I. Kyrchei

Abstract

Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion matrix equations and . Since the Moore-Penrose inverse is a necessary tool to solve matrix equations, we use determinantal representations of the Moore-Penrose inverse previously obtained by the theory of row-column determinants.

Suggested Citation

  • Ivan I. Kyrchei, 2018. "Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations," Journal of Mathematics, Hindawi, vol. 2018, pages 1-12, November.
    • Handle: RePEc:hin:jjmath:6294672
    DOI: 10.1155/2018/6294672
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