N. Li

[ 1 ] - Iterative algorithm for the generalized $(P,Q)$-reflexive solution of a quaternion matrix equation with $j$-conjugate of the unknowns

In the present paper, we propose an iterative algorithm for solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix equation $\overset{u}{\underset{l=1}{\sum}}A_{l}XB_{l}+\overset{v} {\underset{s=1}{\sum}}C_{s}\widetilde{X}D_{s}=F$. By this iterative algorithm, the solvability of the problem can be determined automatically. When the matrix equation is consistent over a general…