Moore–Penrose inverse
Pseudoinversa de Moore-Penrose
- Date
- 1920 · confidence high
- Place
- Chicago, Illinois, United States
- Credited to
- Eliakim Hastings Moore (1920); independently rediscovered by Arne Bjerhammar (1951) and Roger Penrose (1955)
- Field
- Knowledge & symbols
What it is
The Moore–Penrose inverse is the best-known generalization of the matrix inverse, applicable to non-square or singular matrices. It was first described by Eliakim Hastings Moore in 1920, and independently rediscovered by Arne Bjerhammar in 1951 and Roger Penrose in 1955.
What it led to
- Solving overdetermined or underdetermined linear systems
- Basis of the least-squares method in statistics and machine learning
- Use in robot control and signal processing