On the convergence of the interval MAOR method
β Scribed by M.M. Martins; M.E. Trigo
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 530 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0168-9274
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We derive a necessary and sufficient criterion for the convergence of powers of interval matrices [A] to a limit which may differ from O. Generalizing former results we allow now the absolute value |[A]| of [A] to be reducible with minor additional restrictions.
Ax = b is a system of linear equations where the matrix A is symmetric positive definite and consistently ordered. A bound for the norm of the errors sk = I -xk of the MAOR method in terms of the norms of 6k = zk -zk-' and 6&l = zk+l -xk and their inner product is derived, lkkll:: 5 $ { (I( wl -l&2