论文标题
核心EP分解的新的矩阵矩阵倒数
A new generalized inverse of matrices from core-EP decomposition
论文作者
论文摘要
\ mathbb {c}^{n \ times n} $的新的广义倒数$ h \ in \ mathbb {c}^{n \ times n} $，称为cce Inverse，由Core-EP分解和Moore-Penrose Inverse $ H^†$建立。我们提出了CCE Intresse的一些特征。此外，提出了两种规范的CCE Inters形式。最后，我们介绍了CCE-Matrices和$ k $ -CCE矩阵的定义，并证明CCE-Matrices与Wang and Liu在[弱组矩阵，Aequientiation Mathematicae，93（6）：1261-1273，2019中研究的$ i $ ep矩阵相同。
A new generalized inverse for a square matrix $H\in\mathbb{C}^{n\times n}$, called CCE-inverse, is established by the core-EP decomposition and Moore-Penrose inverse $H^†$. We propose some characterizations of the CCE-inverse. Furthermore, two canonical forms of the CCE-inverse are presented. At last, we introduce the definitions of CCE-matrices and $k$-CCE matrices, and prove that CCE-matrices are the same as $i$-EP matrices studied by Wang and Liu in [The weak group matrix, Aequationes Mathematicae, 93(6): 1261-1273, 2019].
