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The class of m-EP and m-normal matrices
Authors:Saroj B. Malik  Laura Rueda
Affiliation:1. School of Liberal Studies, Ambedkar University, Delhi, India.;2. Departamento de Matemática, Universidad Nacional del Sur, INMABB-CONICET, Bahía Blanca, Argentina.
Abstract:The well-known classes of EP matrices and normal matrices are defined by the matrices that commute with their Moore–Penrose inverse and with their conjugate transpose, respectively. This paper investigates the class of m-EP matrices and m-normal matrices that provide a generalization of EP matrices and normal matrices, respectively, and analyses both of them for their properties and characterizations.
Keywords:Moore–Penrose inverse  Drazin inverse  index  EP matrix
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