Abstract
In this note we introduce a new generalized inverse, called CMP inverse of a square matrix using its core part and its Moore-Penrose inverse and we derive several characterizations for this generalized inverse. Also, we introduce CEP (Core-EP) matrices and we show that these matrices are the same as m-EP matrices investigated by Malik, Rueda, Thome in [The class of m-EP and m-normal matrices, Linear Multilinear Algebra (2016): 64(11); 2119–2132].
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