Real representation for solving reduced biquaternion matrix equations XF−AX=BY$$ XF- AXamp;#x0003D; BY $$ and XF−AX˜=BY$$ XF-Atilde{X}amp;#x0003D; BY $$

摘要

In this paper, a new real representation of reduced biquaternion matrix is proposed, and the solutions of the reduced biquaternion matrix equations XF−AX=BY$$ XF- AXamp;#x0003D; BY $$ and XF−AX˜=BY$$ XF-Atilde{X}amp;#x0003D; BY $$ are solved by means of this method. The corresponding numerical algorithm is provided, and the effectiveness of this method is verified by numerical examples.