Multilayer approximate nullspace methods for saddle point systems
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914309472256000 |
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| author | Manguoğlu, Murat Mehrmann, Volker |
| author_facet | Manguoğlu, Murat Mehrmann, Volker |
| contents | We propose a new class of multi-layer iterative schemes for solving sparse linear systems in saddle point structure. The new scheme consist of an iterative preconditioner that is based on the (approximate) nullspace method, combined with an iterative least squares approach and an iterative projection method. We present a theoretical analysis and demonstrate the effectiveness and robustness of the new scheme on sparse matrices from various applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multilayer approximate nullspace methods for saddle point systems Manguoğlu, Murat Mehrmann, Volker Numerical Analysis 65F08, 65F10, 65F50 We propose a new class of multi-layer iterative schemes for solving sparse linear systems in saddle point structure. The new scheme consist of an iterative preconditioner that is based on the (approximate) nullspace method, combined with an iterative least squares approach and an iterative projection method. We present a theoretical analysis and demonstrate the effectiveness and robustness of the new scheme on sparse matrices from various applications. |
| title | Multilayer approximate nullspace methods for saddle point systems |
| topic | Numerical Analysis 65F08, 65F10, 65F50 |
| url | https://arxiv.org/abs/2502.21174 |