Determinantal representations of W-weighted Drazin inverse solutions of some quaternion matrix equations

Abstract

By using determinantal representations of the W-weighted Drazin inverse previously obtained by the author within the framework of the theory of the column-row determinants, we get explicit formulas for determinantal representations of the W-weighted Drazin inverse solutions (analogs of Cramer's rule) of the quaternion matrix equations $\mathbf{W}\mathbf{A}\mathbf{W}\mathbf{X}=\mathbf{D}$, $\mathbf{X}\mathbf{W}\mathbf{A}\mathbf{W}=\mathbf{D}$, and ${\mathbf{W}}_1\mathbf{A}{\mathbf{W}}_1\mathbf{X}{\mathbf{W}}_2\mathbf{B}{\mathbf{W}}_2=\mathbf{D}$.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1503.03668

References in corpus (1)

• Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations