The generalized weighted Moore-Penrose inverse
β Scribed by Xingping Sheng; Guoliang Chen
- Book ID
- 105626373
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 192 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
If A is a boolean matrix, then the weighted Moore-Penrose inverse of A (with respect to the given matrices M, N) IS a matrix G which satisfies AGA = A, GAG = G, and that MAG and GAN are symmetric. Under certain conditions on M, N it is shown that the weighted Moore-Penrose inverse exists if and only
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. (~)