Invariance properties of a triple matrix product involving generalized inverses |
| |
Authors: | Jürgen Groß Yongge Tian |
| |
Institution: | a Department of Statistics, University of Dortmund, D-44225 Dortmund, Germany b School of Economics, Shanghai University of Finance and Economics, 777 Guoding Road, Shanghai 200433, China |
| |
Abstract: | Given complex-valued matrices A, B and C of appropriate dimensions, this paper investigates certain invariance properties of the product AXC with respect to the choice of X, where X is a generalized inverse of B. Different types of generalized inverses are taken into account. The purpose of the paper is three-fold: First, to review known results scattered in the literature, second, to demonstrate the connection between invariance properties and the concept of extremal ranks of matrices, and third, to add new results related to the topic. |
| |
Keywords: | 15A03 15A09 |
本文献已被 ScienceDirect 等数据库收录! |
|