Representations for Moore-Penrose inverses in Hilbert spaces
✍ Scribed by Yimin Wei; Jiu Ding
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 327 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
A 1 h 1 + A 2 h 2 for h i ∈ H i , i = 1, 2. In this paper, several formulae for the Moore-Penrose inverse A † of A are derived, and an approach to constructing the weighted Moore-Penrose inverse from the nonweighted case is provided. In particular, the main result of Udwadia and Phohomsiri [F.E. Udw
The convergence of Lardy's series representation of the Moore-Penrose inverse of a closed unbounded linear operator is proved via Dykstra's alternating projection algorithm.
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
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