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

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

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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  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, str. Naukova 3b, Lviv, 79060, Ukraine

    Ivan Kyrchei

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  1. Ivan Kyrchei
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Kyrchei, I. Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations. RACSAM 114, 198 (2020). https://doi.org/10.1007/s13398-020-00930-3

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