CONVERGENCE INVESTIGATION OF ITERATIVE AGGREGATION METHODS FOR LINEAR EQUATIONS IN A BANACH SPACE

M.I. Kopach, A.F. Obshta, B.A. Shuvar

Abstract


The sufficient conditions of convergence for a class of multi-parameter iterative
aggregation methods are established. These conditions do not contain the requirements of
positivity for the operators and aggregating functionals. Moreover, it is not necessary that
the corresponding linear continuous operators are compressing.


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