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The CMP inverse for rectangular matrices

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Abstract

We extend the notation of the CMP inverse for a square matrix to a rectangular matrix. Precisely, we define and characterize a new generalized inverse called the weighted CMP inverse. Also, we investigate properties of the weighted CMP inverse using a representation by block matrices. Some new characterizations and properties of the CMP inverse are obtained.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000, Niš, Serbia

    Dijana Mosić

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  1. Dijana Mosić
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Correspondence to Dijana Mosić.

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The author is supported by the Ministry of Science, Republic of Serbia, Grant No. 174007.

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Mosić, D. The CMP inverse for rectangular matrices. Aequat. Math. 92, 649–659 (2018). https://doi.org/10.1007/s00010-018-0570-7

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  • DOI: https://doi.org/10.1007/s00010-018-0570-7

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