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
Effective partitioning method for computing weighted Moore–Penrose inverse
✍ Scribed by Marko D. Petković; Predrag S. Stanimirović; Milan B. Tasić
- Book ID
- 108077176
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 339 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
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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
We consider the perturbation formula for the weighted Moore-Penrose inverse of a rectangular matrix and give an explicit expression for the weighted Moore-Penrose inverse of a perturbed matrix under the weakest rank condition. This explicit expression extends the earlier work of several authors. (~)