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The CMP inverse for rectangular matrices

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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.… Click to show full 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.

Keywords: rectangular matrices; inverse rectangular; cmp inverse; inverse

Journal Title: Aequationes mathematicae
Year Published: 2018

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