Convergence theorems for parallel alternating iterative methods
โ Scribed by Joan-Josep Climent; Carmen Perea; Leandro Tortosa; Antonio Zamora
- Book ID
- 108395791
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 289 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
๐ 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 ฮณ (T ) = max{|ฮป|, ฮป โ ฯ (T ), ฮป / = 1}, where ฯ (T ) is the spectrum of T. Theorems are presented comparing the convergence fa
x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini