The class ofm-EPandm-normal matrices

2016/01/28 by Saroj B. Malik, Laura Rueda, Néstor Thome · 8 citations
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Advanced Topics in Algebra #graph theory and CDMA systems

paper · doi:10.1080/03081087.2016.1139037

Abstract

The well-known classes of EP matrices and normal matrices are de-
\nfined by the matrices that commute with their Moore-Penrose inverse
\nand with their conjugate transpose, respectively. This paper investigates
\nthe class of m-EP matrices and m-normal matrices that provide
\na generalization of EP matrices and normal matrices, respectively, and
\nanalyzes both of them for their properties and characterizations.

Citations

• Core inverse of matrices
• Characterizations of the core inverse and the core partial ordering

Cited by

• Further characterizations of the CMP inverse of matrices
• On a new generalized inverse of matrices
• On DMP inverses and m-EP elements in rings
• Properties of m -EP operators
• Characterizations of k-commutative equalities for some outer generalized inverses
• New characterizations of weak CMP inverses
• Additive properties and absorption laws for generalized inverses
• A new generalized inverse of matrices from core-EP decomposition

Related

• On a new generalized inverse of matrices
• Extending EP matrices by means of recent generalized inverses
• Relative EP matrices
• Some results on core EP Drazin matrices and partial isometries
• Properties of m -EP operators