On a new generalized inverse of matrices
On a new generalized inverse of matrices
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DOI：
10.1080/03081087.2017.1336200
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发表时间：
2018-05
影响因子：
1.1
通讯作者：
M. Mehdipour;A. Salemi
中科院分区：
文献类型：
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作者：
M. Mehdipour;A. Salemi
本文利用方阵的核心部分和它的Moore-Penrose逆，引入了一种新的广义逆，称为方阵的CMP逆，并给出了这种广义逆的几个刻画。此外，我们还引入了CEP(Core-EP)矩阵，并证明了这些矩阵与Malik，Rueda，Thome在[线性多线性代数(2016)：m-EP和m-正规矩阵的类：(11)；2119-2132]中研究的m-EP矩阵相同。
Abstract In this note we introduce a new generalized inverse, called CMP inverse of a square matrix using its core part and its Moore-Penrose inverse and we derive several characterizations for this generalized inverse. Also, we introduce CEP (Core-EP) matrices and we show that these matrices are the same as m-EP matrices investigated by Malik, Rueda, Thome in [The class of m-EP and m-normal matrices, Linear Multilinear Algebra (2016): 64(11); 2119–2132].