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Dual Quaternion Matrix Equation AXB = C with Applications
Y Chen, QW Wang, LM **e - Symmetry, 2024 - mdpi.com
Dual quaternions have wide applications in automatic differentiation, computer graphics,
mechanics, and others. Due to its application in control theory, matrix equation AXB= C has …
mechanics, and others. Due to its application in control theory, matrix equation AXB= C has …
The General Solution to a Classical Matrix Equation AXB = C over the Dual Split Quaternion Algebra
KW Si, QW Wang - Symmetry, 2024 - mdpi.com
In this paper, we investigate the necessary and sufficient conditions for solving a dual split
quaternion matrix equation AXB= C, and present the general solution expression when the …
quaternion matrix equation AXB= C, and present the general solution expression when the …
The consistency and the general common solution to some quaternion matrix equations
XL Xu, QW Wang - Annals of Functional Analysis, 2023 - Springer
In this paper, we establish some necessary and sufficient conditions for the solvability to a
system of five quaternion matrix equations in terms of the Moore–Penrose inverse and the …
system of five quaternion matrix equations in terms of the Moore–Penrose inverse and the …
Constrained two-sided coupled Sylvester-type quaternion matrix equations
In this paper, we consider the solvability of a system of constrained two-sided coupled
generalized Sylvester quaternion matrix equations. Some necessary and sufficient …
generalized Sylvester quaternion matrix equations. Some necessary and sufficient …
A system of quaternary coupled Sylvester-type real quaternion matrix equations
In this paper we establish some necessary and sufficient solvability conditions for a system
of quaternary coupled Sylvester-type real quaternion matrix equations in terms of ranks and …
of quaternary coupled Sylvester-type real quaternion matrix equations in terms of ranks and …
[HTML][HTML] Three symmetrical systems of coupled Sylvester-like quaternion matrix equations
The current study investigates the solvability conditions and the general solution of three
symmetrical systems of coupled Sylvester-like quaternion matrix equations. Accordingly, the …
symmetrical systems of coupled Sylvester-like quaternion matrix equations. Accordingly, the …
Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns
In this paper, we consider the solvability conditions of some Sylvester-type quaternion matrix
equations. We establish some practical necessary and sufficient conditions for the existence …
equations. We establish some practical necessary and sufficient conditions for the existence …
[HTML][HTML] An exact solution to a quaternion matrix equation with an application
LS Liu, QW Wang, JF Chen, YZ **e - Symmetry, 2022 - mdpi.com
In this paper, we establish the solvability conditions and the formula of the general solution
to a Sylvester-like quaternion matrix equation. As an application, we give some necessary …
to a Sylvester-like quaternion matrix equation. As an application, we give some necessary …
Some new results on a system of Sylvester-type quaternion matrix equations
In this paper, we establish a different approach for solving the system of three coupled two-
sided Sylvester-type quaternion matrix equations A i X i B i+ C i X i+ 1 D i= E i, i= 1, 3¯. We …
sided Sylvester-type quaternion matrix equations A i X i B i+ C i X i+ 1 D i= E i, i= 1, 3¯. We …
[HTML][HTML] Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices
In this paper, we investigate and analyze in detail the structure and properties of a
simultaneous decomposition for fifteen matrices: A i∈ C pi× ti, B i∈ C si× qi, C i∈ C pi× t i+ …
simultaneous decomposition for fifteen matrices: A i∈ C pi× ti, B i∈ C si× qi, C i∈ C pi× t i+ …