Relationships between different sets involving group and Drazin projectors and nonnegativity (Conference Paper)

摘要

This paper deals with nonnegativity of matrices and their group or Drazin inverses. Firstly, the nonnegativity of a square matrix A, its group inverse ~(A#) and its group projector ~(AA#) is used to define different sets for which relationships and characterizations are given. Next, an extension of the previous results for index greater than 1 is presented. Similar sets are introduced and studied for Drazin inverses and Drazin projectors considering the core-nilpotent decomposition. In addition, the results are applied to study the {l}-Drazin periodic matrices for l≥1.