期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/307036
出版社：Hindawi Publishing Corporation
摘要：We establish necessary and sufficient conditions for the existence of and the expressions for the general real and complex Hermitian solutions to the classical system of quaternion matrix equations 𝐴1𝑋=𝐶1,𝑋𝐵1=𝐶2,and𝐴3𝑋𝐴∗3=𝐶3. Moreover, formulas of the maximal and minimal ranks of four real matrices 𝑋1,𝑋2,𝑋3, and 𝑋4 in solution 𝑋=𝑋1
