论文标题
进一步的矩阵加权核EP逆的结果
Further results on weighted core-EP inverse of matrices
论文作者
论文摘要
在本文中，我们介绍了$ e $加权的核心ep和$ f $加权的双核EP的符号。然后，我们通过其他广义倒置获得了矩阵加权核EP逆的一些显式表达式。此外，我们讨论了矩阵加权核eEP的普遍加权摩尔 - 柔性逆和加性特性的存在。除此之外，我们还提出了恒星加权核eEP和加权核心EP星级矩阵，用于求解矩阵方程系统。我们通过产生恒星加权核心EP和加权核心恒星矩阵类别的一些表示和表征来进一步详细介绍该理论。
In this paper, we introduce the notation of $E$-weighted core-EP and $F$-weighted dual core-EP inverse of matrices. We then obtain a few explicit expressions for the weighted core-EP inverse of matrices through other generalized inverses. Further, we discuss the existence of generalized weighted Moore-Penrose inverse and additive properties of the weighted core-EP inverse of matrices. In addition to these, we propose the star weighted core-EP and weighted core-EP star class of matrices for solving the system of matrix equations. We further elaborate on this theory by producing a few representation and characterization of star weighted core-EP and weighted core-EP star classes of matrices.
