# On the product of projectors and generalized inverses

@article{Korporal2013OnTP, title={On the product of projectors and generalized inverses}, author={Anja Korporal and G. Regensburger}, journal={Linear and Multilinear Algebra}, year={2013}, volume={62}, pages={1567 - 1582} }

We consider generalized inverses of linear operators on arbitrary vector spaces and study the question when their product in reverse order is again a generalized inverse. This problem is equivalent to the question when the product of two projectors is again a projector, and we discuss necessary and sufficient conditions in terms of their kernels and images alone. We give a new representation of the product of generalized inverses that does not require explicit knowledge of the factors. Our… CONTINUE READING

5 Citations

Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems

- Computer Science, Mathematics
- 2012

- 4
- PDF

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 46 REFERENCES

Solving and factoring boundary problems for linear ordinary differential equations in differential algebras

- Computer Science, Mathematics
- 2008

- 74
- PDF