Open AccessInvestigation of Convergence of Iterative Aggregation Methods for Linear Equations in a Banach Space
Author(s) -
М. І. Kopach,
A.F. Obshta,
B. A. Shuvar
Publication year - 2015
Publication title -
journal of vasyl stefanyk precarpathian national university
Language(s) - English
Resource type - Journals
eISSN - 2413-2349
pISSN - 2311-0155
DOI - 10.15330/jpnu.2.4.50-57
Subject(s) - banach space , convergence (economics) , mathematics , linear operators , class (philosophy) , unconditional convergence , iterative method , space (punctuation) , mathematical analysis , mathematical optimization , computer science , rate of convergence , compact convergence , computer network , channel (broadcasting) , artificial intelligence , economics , bounded function , economic growth , operating system
The sufficient conditions of convergence for a class of multi-parameter iterativeaggregation methods are established. These conditions do not contain the requirements ofpositivity for the operators and aggregating functionals. Moreover, it is not necessary thatthe corresponding linear continuous operators are compressing