Minimum residual modified HSS iteration method for a class of complex symmetric linear systems
| Autor: | Yu-Jiang Wu, Wei-Hong Zhang, Ai-Li Yang |
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| Rok vydání: | 2020 |
| Předmět: |
Scheme (programming language)
Iterative method Applied Mathematics Numerical analysis Linear system 010103 numerical & computational mathematics System of linear equations Residual 01 natural sciences Hermitian matrix 010101 applied mathematics Theory of computation Applied mathematics 0101 mathematics computer Mathematics computer.programming_language |
| Zdroj: | Numerical Algorithms. 86:1543-1559 |
| ISSN: | 1572-9265 1017-1398 |
| Popis: | For solving a class of complex symmetric system of linear equations, we apply the minimum residual technique to the modified Hermitian and skew-Hermitian splitting (MHSS) iteration scheme and propose an iteration method referred to as minimum residual MHSS (MRMHSS) iteration method. Compared with the classical MHSS method, the MRMHSS method has two more iteration parameters, which can be automatically and easily computed. Then, some properties of the MRMHSS iteration method are carefully studied. Finally, we use four examples to test the performance of the MRMHSS iteration method by comparing its numerical results with three other iteration methods. |
| Databáze: | OpenAIRE |
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