Representations and properties of the W-Weighted Drazin inverse
Representations and properties of the W-Weighted Drazin inverse
复制标题
DOI：
10.1080/03081087.2016.1228810
复制
发表时间：
2017-06
影响因子：
1.1
通讯作者：
P. Stanimirović;V. Katsikis;Haifeng Ma
中科院分区：
文献类型：
--
作者：
P. Stanimirović;V. Katsikis;Haifeng Ma
给出了W-加权Drazin逆的几种新表示。这些表示是表示在各种矩阵的权力，以及在矩阵产品涉及的Moore-Penrose逆和通常的矩阵逆。此外，各种广义逆所产生的衍生表示的性质进行了研究。所提出的表示的计算复杂度和效率被认为是。在大量随机生成的测试示例中对表示进行测试和比较。
Several new representations of the W-weighted Drazin inverse are introduced. These representations are expressed in terms of various matrix powers as well as in terms of matrix products involving the Moore–Penrose inverse and the usual matrix inverse. Also, the properties of various generalized inverses which arise from derived representations are investigated. The computational complexity and efficiency of the proposed representations are considered. Representations are tested and compared among themselves in a substantial number of randomly generated test examples.