W-MPD–N-DMP-solutions of constrained quaternion matrix equations

Abstract

The solvability of several new constrained quaternion matrix equations is investigated, and their unique solutions are presented in terms of the weighted MPD inverse and weighted DMP inverse of suitable matrices. It is interesting to consider some exceptional cases of these new equations and corresponding solutions. Determinantal representations for the solutions of the equations as mentioned earlier are established as sums of appropriate minors. In order to illustrate the obtained results, a numerical example is shown.

Keywords

• weighted dmp inverse
• weighted mpd inverse
• determinantal representation
• 15a24
• 15a09
• 15a15
• 15b33