Aggregation-iterative analogues and generalizations of projection-iterative methods
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 restrictio...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-06-01
|
| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/176/141 |
| _version_ | 1818173385768697856 |
|---|---|
| author | Shuvar B.F. Obshta A.F. Kopach M.I. |
| author_facet | Shuvar B.F. Obshta A.F. Kopach M.I. |
| author_sort | Shuvar B.F. |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T19:27:40Z |
| format | Article |
| id | doaj.art-98aa1402c3fc468da05c2567d22af596 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 |
| language | English |
| last_indexed | 2024-12-11T19:27:40Z |
| publishDate | 2013-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-98aa1402c3fc468da05c2567d22af5962022-12-22T00:53:22ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272013-06-0151156163Aggregation-iterative analogues and generalizations of projection-iterative methodsShuvar B.F.Obshta A.F.Kopach M.I.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.http://journals.pu.if.ua/index.php/cmp/article/view/176/141Projection-iterative methodsdecompositionaggregation-iterative methods |
| spellingShingle | Shuvar B.F. Obshta A.F. Kopach M.I. Aggregation-iterative analogues and generalizations of projection-iterative methods Karpatsʹkì Matematičnì Publìkacìï Projection-iterative methods decomposition aggregation-iterative methods |
| title | Aggregation-iterative analogues and generalizations of projection-iterative methods |
| title_full | Aggregation-iterative analogues and generalizations of projection-iterative methods |
| title_fullStr | Aggregation-iterative analogues and generalizations of projection-iterative methods |
| title_full_unstemmed | Aggregation-iterative analogues and generalizations of projection-iterative methods |
| title_short | Aggregation-iterative analogues and generalizations of projection-iterative methods |
| title_sort | aggregation iterative analogues and generalizations of projection iterative methods |
| topic | Projection-iterative methods decomposition aggregation-iterative methods |
| url | http://journals.pu.if.ua/index.php/cmp/article/view/176/141 |
| work_keys_str_mv | AT shuvarbf aggregationiterativeanaloguesandgeneralizationsofprojectioniterativemethods AT obshtaaf aggregationiterativeanaloguesandgeneralizationsofprojectioniterativemethods AT kopachmi aggregationiterativeanaloguesandgeneralizationsofprojectioniterativemethods |