Maximal Stationary Iterative Methods for the Solution of Operator Equations

1974 ◽  
Vol 11 (5) ◽  
pp. 934-949 ◽  
Author(s):  
H. Wozniakowski
2015 ◽  
Vol 15 (3) ◽  
pp. 373-389
Author(s):  
Oleg Matysik ◽  
Petr Zabreiko

AbstractThe paper deals with iterative methods for solving linear operator equations ${x = Bx + f}$ and ${Ax = f}$ with self-adjoint operators in Hilbert space X in the critical case when ${\rho (B) = 1}$ and ${0 \in \operatorname{Sp} A}$. The results obtained are based on a theorem by M. A. Krasnosel'skii on the convergence of the successive approximations, their modifications and refinements.


Author(s):  
Michelle Mills Strout ◽  
Larry Carter ◽  
Jeanne Ferrante ◽  
Barbara Kreaseck

Sign in / Sign up

Export Citation Format

Share Document