Geodesic
Least-squares solutions of the generalized reduced biquaternion matrix equations
Filomat, Tome 37 (2023) no. 3, p. 863

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DOI

In this paper, we introduce the definition of the generalized reduced biquaternions and propose a real representation of a generalized reduced biquaternion matrix. By using the real matrix representation, we discuss the least-squares problems of the classic generalized reduced biquaternion matrix equation AXC = B. The least-squares solution to the above matrix equation is formulated by a least-squares real solution of its corresponding real matrix equation. Furthermore, two numerical examples are given to illustrate our results.
DOI : 10.2298/FIL2303863T
Classification : 15B33, 15A24
Keywords: Generalized (reduced) biquaternions, Real representation, Least-squares problem, Matrix equation 
Yong Tian; Xin Liu; Yang Zhang. Least-squares solutions of the generalized reduced biquaternion matrix equations. Filomat, Tome 37 (2023) no. 3, p. 863 . doi: 10.2298/FIL2303863T
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     title = {Least-squares solutions of the generalized reduced biquaternion matrix equations},
     journal = {Filomat},
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     year = {2023},
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     number = {3},
     doi = {10.2298/FIL2303863T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303863T/}
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