论文标题
矩阵加权核心倒数的表征和表示
Characterization and Representation of Weighted Core Inverse of Matrices
论文作者
论文摘要
在本文中，我们介绍了矩阵加权核心倒数的新表示和表征。还探索了这些反相的几种属性及其与其他广义逆的互连。通过单面核心和双核对逆，我们已经显示了矩阵的广义加权摩尔 - 柔性的存在。此外，通过应用新表示形式并使用矩阵的加权核心倒置的属性，我们讨论了与这些反相的反向顺序定律有关的一些新结果。
In this paper, we introduce new representation and characterization of the weighted core inverse of matrices. Several properties of these inverses and their interconnections with other generalized inverses are also explored. Through one-sided core and dual-core inverses, we have shown the existence of a generalized weighted Moore-Penrose inverse of matrices. Further, by applying a new representation and using the properties of the weighted core inverse of a matrix, we discuss some new results related to the reverse order law for these inverses.
