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Computational methods for linear matrix equations
Given the square matrices A,B,D,E and the matrix C of conforming dimensions, we consider
the linear matrix equation A\mathbfXE+D\mathbfXB=C in the unknown matrix \mathbfX. Our …
the linear matrix equation A\mathbfXE+D\mathbfXB=C in the unknown matrix \mathbfX. Our …
A new Sylvester-type quaternion matrix equation model for color image data transmission
In this paper, we investigate an encryption method for color image data transmission based
on Sylvester-type quaternion matrix equations. We first study the solvability conditions and …
on Sylvester-type quaternion matrix equations. We first study the solvability conditions and …
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 …
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 …
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 …
The general -Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
Abstract Let $\mathbb {H}^{m\times n} $ be the space of $ m\times n $ matrices over
$\mathbb {H} $, where $\mathbb {H} $ is the real quaternion algebra. Let $ A_ {\phi} $ be the …
$\mathbb {H} $, where $\mathbb {H} $ is the real quaternion algebra. Let $ A_ {\phi} $ be the …
[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+ …
[HTML][HTML] Uniqueness of solution of a generalized⋆-Sylvester matrix equation
We present necessary and sufficient conditions for the existence of a unique solution of the
generalized⋆-Sylvester matrix equation AX B+ CX⋆ D= E, where A, B, C, D, E are square …
generalized⋆-Sylvester matrix equation AX B+ CX⋆ D= E, where A, B, C, D, E are square …
[کتاب][B] Complex conjugate matrix equations for systems and control
AG Wu, Y Zhang - 2017 - Springer
Theory of matrix equations is an important branch of mathematics, and has broad
applications in many engineering fields, such as control theory, information theory, and …
applications in many engineering fields, such as control theory, information theory, and …
[HTML][HTML] Solvability and uniqueness criteria for generalized Sylvester-type equations
We provide necessary and sufficient conditions for the generalized⋆-Sylvester matrix
equation, AX B+ CX⋆ D= E, to have exactly one solution for any right-hand side E. These …
equation, AX B+ CX⋆ D= E, to have exactly one solution for any right-hand side E. These …