论文标题
加权核心EP，DMP，MPD和CMP的确定表示，具有四元素和复杂元素的矩阵
Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses of matrices with quaternion and complex elements
论文作者
论文摘要
在本文中，我们扩展了加权核心EP的左右对逆，加权DMP和MPD倒置的概念，以及与QUATERNION SKEW FIELD H上的矩阵相比，与这些相比的矩阵上的矩阵倒数相比，这些特征与复杂场上的这些倒置相比具有某些特征。我们通过使用作者先前介绍的非交通列和行决定因素来提供其计算的直接方法，即它们的决定性表示。作为特殊情况，通过使用通常的决定因素，我们也为具有复杂条目的矩阵提供了决定性表示。给出了一个数字示例来说明主要结果。
In this paper, we extend notions of the weighted core-EP right and left inverses, the weighted DMP and MPD inverses, and the CMP inverse to matrices over the quaternion skew field H that have some features in comparison to these inverses over the complex field. We give the direct methods of their computing, namely, their determinantal representations by using noncommutative column and row determinants previously introduced by the author. As the special cases, by using the usual determinant, we give their determinantal representations for matrices with complex entries as well. A numerical example to illustrate the main result is given.
