Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations

被引：0
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作者：
Ivan Kyrchei
机构：
[1] NAS of Ukraine,Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2020年 / 114卷
关键词：
Weighted core-EP inverse; Weighted DMP inverse; Weighted MPD inverse; Weighted CMP inverse; Generalized inverse; Moore–Penrose inverse; Weighted Drazin inverse; Quaternion matrix; Noncommutative determinant; 5A09; 15A15; 15B33;
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摘要：
In this paper, we extend notions of the weighted core-EP right and left inverses, the weighted DMP and MPD inverses, and the CMP inverse to matrices over the quaternion skew field that have some features in comparison to these inverses over the complex field. We give the direct methods of their computing, namely, their determinantal representations by using noncommutative column and row determinants previously introduced by the author. A numerical example to illustrate the main result is given.
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