We consider when the quaternion matrix equation AXB+CXD=E has a reflexive (or anti-reflexive) solution with respect to a given generalized reflection matrix. We adopt a real representation method to derive the solutions when it is solvable. Moreover, we obtain the explicit expressions of the least-squares reflexive (or anti-reflexive) solutions
In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide...
AbstractIn this paper, The Hermitian reflexive solutions and the anti-Hermitian reflexive solutions ...
AbstractLet n×n complex matrices R and S be nontrivial generalized reflection matrices, i.e., R∗=R=R...
AbstractAn n×n complex matrix P is said to be a generalized reflection matrix if PH=P and P2=I. An n...
AbstractLet P and Q be two generalized reflection matrices, i.e, P=PH, P2=I and Q=QH, Q2=I. An n×n m...
Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex repr...
AbstractIn this paper, we study the existence of a reflexive, with respect to the generalized reflec...
Abstract. Expressions, as well as necessary and sufficient conditions are given for the existence of...
By means of quaternion generalized singular value decomposition of quaternion matrices, this paper d...
In this paper, the generalized anti-reflexive solution for matrix equations (BX = C, XD = E), which ...
Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=
The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kron...
AbstractThe generalized singular value decomposition (GSVD) and the lifting technique combined with ...
AbstractIn this paper, the necessary and sufficient conditions for the solvability of matrix equatio...
Two efficient iterative algorithms are presented to solve a system of matrix equations A1X1B1 + A2X2...
In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide...
AbstractIn this paper, The Hermitian reflexive solutions and the anti-Hermitian reflexive solutions ...
AbstractLet n×n complex matrices R and S be nontrivial generalized reflection matrices, i.e., R∗=R=R...
AbstractAn n×n complex matrix P is said to be a generalized reflection matrix if PH=P and P2=I. An n...
AbstractLet P and Q be two generalized reflection matrices, i.e, P=PH, P2=I and Q=QH, Q2=I. An n×n m...
Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex repr...
AbstractIn this paper, we study the existence of a reflexive, with respect to the generalized reflec...
Abstract. Expressions, as well as necessary and sufficient conditions are given for the existence of...
By means of quaternion generalized singular value decomposition of quaternion matrices, this paper d...
In this paper, the generalized anti-reflexive solution for matrix equations (BX = C, XD = E), which ...
Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=
The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kron...
AbstractThe generalized singular value decomposition (GSVD) and the lifting technique combined with ...
AbstractIn this paper, the necessary and sufficient conditions for the solvability of matrix equatio...
Two efficient iterative algorithms are presented to solve a system of matrix equations A1X1B1 + A2X2...
In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide...
AbstractIn this paper, The Hermitian reflexive solutions and the anti-Hermitian reflexive solutions ...
AbstractLet n×n complex matrices R and S be nontrivial generalized reflection matrices, i.e., R∗=R=R...
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