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On the convergence of subproper (multi)-splitting methods for solving rectangular linear systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lin, Lijing Wei, Yimin |
| Copyright Year | 2008 |
| Abstract | We give a convergence criterion for stationary iterative schemes based on subproper splittings for solving rectangular systems and show that, for special splittings, convergence and quotient convergence are equivalent. We also analyze the convergence of multisplitting algorithms for the solution of rectangular systems when the coefficient matrices have special properties and the linear systems are consistent.Keywords: Rectangular linear system, iterative method, proper splitting, subproper splitting, regularity, Hermitian positive semi-definite matrix, multi-splitting, quotient convergenceAMS Subject Classification: 65F10, 65F15 |
| Starting Page | 17 |
| Ending Page | 33 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10092-008-0141-8 |
| Volume Number | 45 |
| Alternate Webpage(s) | http://www.maths.manchester.ac.uk/~lijing/papers/CALCOLO08.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10092-008-0141-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
