The notions of the MPCEP inverse and \(*\)CEPMP inverse are expanded to quaternion matrices and their determinantal representations are developed in terms of minors of appropriate matrices. Solvability of novel quaternion restricted matrix equations (QRME) is investigated and their solutions are obtained in terms of the corresponding MPCEP and \(*\)CEPMP inverses. Generalized Cramer’s rules for obtained solutions to new QRME are developed. A numerical example is presented to illustrate the derived results.

中文翻译：

---

MPCEP- $$*$$ * CEPMP-一些受限四元数矩阵方程的解

MPCEP 逆和\(*\) CEPMP 逆的概念被扩展为四元数矩阵，并且它们的行列式表示是根据适当矩阵的小数来发展的。研究了新型四元数限制矩阵方程 (QRME) 的可解性，并根据相应的 MPCEP 和\(*\) CEPMP 逆得到了它们的解。开发了用于获得新 QRME 解的广义 Cramer 规则。给出了一个数值例子来说明导出的结果。