The elementary, but very useful, concept of the extrapolation or relaxation is generally used to accelerate iterative methods for solving linear systems, but its convergence conditions were not studied thoroughly. In this note a new result on the convergence of an extrapolated iterative method is de
An existence-convergence theorem for a class of iterative methods
β Scribed by M. A. Wolfe
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 236 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Iterative methods for the solution of consistent singular systems of linear equations are governed by the convergence factor of the iteration matrix T, i.e., by the quantity Ξ³ (T ) = max{|Ξ»|, Ξ» β Ο (T ), Ξ» / = 1}, where Ο (T ) is the spectrum of T. Theorems are presented comparing the convergence fa
## An existence theorem for a class of infinite systems of integral equations is proved with the help of the Schauder Axed-point theorem. The obtained result is applied in order to show the solvability of a semilinear upper diagonal infinite system of integral equations.