On oblique projection, rank additivity and the moore-penrose inverse of the sum of two matrices |
| |
| Authors: | Jü rgen Grob |
| |
| Institution: |
a Department of Statistics, University of Dortmund, Dortmund, Germany |
| |
| Abstract: | The existence of certain oblique projectors is revealed by deriving onto-and along-space of a specific projector, namely the Moore-Penrose inverse of the product of two orthogonal projectors. The results are used to create a formula for the Moore-Penrose in-verse of the sum of two rank additive matrices, and to demonstrate relationships with already known facts. |
| |
| Keywords: | Oblique projector orthogonal projector rank additivity Moore-Penrose inverse generalized inverse |
| 本文献已被 InformaWorld 等数据库收录！ |
|
