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Constraint Solution of a Classical System of Quaternion Matrix Equations and Its Cramer’s Rule

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Abstract

Generalized Sylvester quaternion matrix equation with some constrictions is explored in this paper. A novel expression of the general solution of the constraint system is given with some necessary and sufficient conditions. Its Cramer’s rule is derived within the framework of the theory of row-column quaternion determinants. An example is given to justify obtained theoretical results.

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Authors and Affiliations

  1. University of Engineering and Technology, Lahore, Pakistan

    Abdur Rehman, Ilyas Ali & Muhammad Akram

  2. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine, Lviv, Ukraine

    Ivan Kyrchei

  3. Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan

    Abdul Shakoor

Authors
  1. Abdur Rehman
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  2. Ivan Kyrchei
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  3. Ilyas Ali
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  4. Muhammad Akram
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  5. Abdul Shakoor
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Correspondence to Ivan Kyrchei.

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Rehman, A., Kyrchei, I., Ali, I. et al. Constraint Solution of a Classical System of Quaternion Matrix Equations and Its Cramer’s Rule. Iran J Sci Technol Trans Sci 45, 1015–1024 (2021). https://doi.org/10.1007/s40995-021-01083-7

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  • DOI: https://doi.org/10.1007/s40995-021-01083-7

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