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Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 A1XA1⁎=C1 and A2XA2⁎=C2.
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.
American Psychological Association (APA)
Kyrchei, Ivan. 2018. Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations. Journal of Mathematics،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1193577
Modern Language Association (MLA)
Kyrchei, Ivan. Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations. Journal of Mathematics No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1193577
American Medical Association (AMA)
Kyrchei, Ivan. Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations. Journal of Mathematics. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1193577
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193577