Weighted G-Drazin inverses and a new pre-order on rectangular matrices

作者：Coll C; Lattanzi M; Thome N^*

来源：Applied Mathematics and Computation, 2018, 317: 12-24.

DOI：10.1016/j.amc.2017.08.047

• G-Drazin inverse
• Weighted Drazin inverse
• G-Drazin partial order
• Minus partial order
• Weighted Drazin pre-order

This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we define and characterize weighted G-Drazin inverses. Next, we consider a new pre-order defined on complex rectangular matrices based on weighted G-Drazin inverses. Finally, we characterize this pre-order and relate it to the minus partial order and to the weighted Drazin pre-order.

• 出版日期2018-1-15