We define the generalized Moore-Penrose inverse and give necessary and sufficient conditions for its existence over an integral domain. We also prove its uniqueness and give a formula for it which leads us towards a "generalized Cramer's rule" to find the generalized Moore-Penrose solution.
|Number of pages||11|
|Journal||Linear Algebra and Its Applications|
|Publication status||Published - 01-03-1992|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis