The Moore-Penrose inverse of an arbitrary matrix (including singular and rectangular) has many applications in statistics, prediction theory, control system analysis, curve fitting and numerical analysis. In this paper, an algorithm based on the conjugate Gram-Schmidt process and the Moore-Penrose i
A numerical procedure for computing the Moore-Penrose inverse
✍ Scribed by Glenn R. Luecke
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- English
- Weight
- 464 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0029-599X
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📜 SIMILAR VOLUMES
An iterative algorithm for estimating the Moore-Penrose generalized inverse is developed. The main motive for the construction of the algorithm is simultaneous usage of Penrose equations ( 2) and ( 4). Convergence properties of the introduced method as well as their first-order and second-order erro
In this paper, we consider the product of matrices P AQ, where A is von Neumann regular and there exist P and Q such that P P A = A = AQQ . We give necessary and sufficient conditions in order to P AQ be Moore-Penrose invertible, extending known characterizations. Finally, an application is given to