AbstractIn this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, and A4XB4 = C4, over the real quaternion algebra ℍ. A necessary and sufficient condition for the existence and the expression of the general solution to the system are given. As particular cases, the corresponding results on other systems over ℍ are also obtained
In this paper, we establish the formulas of the extermal ranks of the quaternion matrix expression f...
AbstractUsing the method of complex representation, this paper obtains necessary and sufficient cond...
Some complex quaternionic equations in the type AX-XB=C are investigated. For convenience, these equ...
AbstractIn this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, a...
We establish necessary and sufficient conditions for the existence of and the expressions for the ge...
AbstractLet H be the real quaternion algebra and Hn×m denote the set of all n×m matrices over H. Let...
AbstractIn this paper we consider bisymmetric and centrosymmetric solutions to certain matrix equati...
<p>We study the system of quaternion generalized Sylvester matrix equations , and . We establish ne...
In this paper, we establish the solvability conditions and the formula of the general solution to a ...
Abstract. Expressions, as well as necessary and sufficient conditions are given for the existence of...
AbstractIn this paper we consider symmetric and skew-antisymmetric solutions to certain matrix equat...
This article makes use of simultaneous decomposition of four quaternion matrixes to investigate some...
This paper investigates the properties of the ϕ-skew-Hermitian solution to the system of quaternion ...
AbstractWe in this paper first establish a new expression of the general solution to the consistent ...
The real representation of the quaternionic matrix is definited and studied. The relations between t...
In this paper, we establish the formulas of the extermal ranks of the quaternion matrix expression f...
AbstractUsing the method of complex representation, this paper obtains necessary and sufficient cond...
Some complex quaternionic equations in the type AX-XB=C are investigated. For convenience, these equ...
AbstractIn this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, a...
We establish necessary and sufficient conditions for the existence of and the expressions for the ge...
AbstractLet H be the real quaternion algebra and Hn×m denote the set of all n×m matrices over H. Let...
AbstractIn this paper we consider bisymmetric and centrosymmetric solutions to certain matrix equati...
<p>We study the system of quaternion generalized Sylvester matrix equations , and . We establish ne...
In this paper, we establish the solvability conditions and the formula of the general solution to a ...
Abstract. Expressions, as well as necessary and sufficient conditions are given for the existence of...
AbstractIn this paper we consider symmetric and skew-antisymmetric solutions to certain matrix equat...
This article makes use of simultaneous decomposition of four quaternion matrixes to investigate some...
This paper investigates the properties of the ϕ-skew-Hermitian solution to the system of quaternion ...
AbstractWe in this paper first establish a new expression of the general solution to the consistent ...
The real representation of the quaternionic matrix is definited and studied. The relations between t...
In this paper, we establish the formulas of the extermal ranks of the quaternion matrix expression f...
AbstractUsing the method of complex representation, this paper obtains necessary and sufficient cond...
Some complex quaternionic equations in the type AX-XB=C are investigated. For convenience, these equ...
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