Weighted MP weak group inverse

Abstract

To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices. A number of different representations and characterizations are derived for the weighted MP weak group inverse as well as limit and integral expressions. Applying the weighted MP weak group inverse, we solve some linear equations and give their solutions.

Keywords

• weighted weak group inverse
• moore-penrose inverse
• weighted core-ep inverse
• outer inverse
• primary 15a09
• secondary 15a24, 65f05