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- W4288409623 abstract "In this paper we extend notions of the core inverse, core EP inverse, DMP inverse, and CMP inverse over the quaternion skew-field ${mathbb{H}}$ and get their determinantal representations within the framework of the theory of column-row determinants previously introduced by the author. Since the Moore-Penrose inverse and the Drazin inverse are necessary tools to represent these generalized inverses, we use their determinantal representations previously obtained by using row-column determinants. As the special case, we give their determinantal representations for matrices with complex entries as well. A numerical example to illustrate the main result is given." @default.
- W4288409623 created "2022-07-29" @default.
- W4288409623 creator A5091738033 @default.
- W4288409623 date "2019-03-23" @default.
- W4288409623 modified "2023-09-27" @default.
- W4288409623 title "The quaternion core inverse and its generalizations" @default.
- W4288409623 doi "https://doi.org/10.48550/arxiv.1903.09812" @default.
- W4288409623 hasPublicationYear "2019" @default.
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