Aggregation-iterative analogues and generalizations of projection-iterative methods

Abstract

Aggregation-iterative algorithms for linear operator equations are constructed and investigated. These algorithms cover methods of iterative aggregation and projection-iterative methods. In convergence conditions there is neither requirement for the corresponding operator of fixed sign no restriction to the spectral radius to be less than one.

Keywords

• projection-iterative methods
• decomposition
• aggregation-iterative methods