Convergence of the complex block Jacobi methods under the generalized serial pivot strategies
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917829969707008 |
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| author | Begovic, Erna Hari, Vjeran |
| author_facet | Begovic, Erna Hari, Vjeran |
| contents | The paper considers the convergence of the complex block Jacobi diagonalization methods under the large set of the generalized serial pivot strategies. The global convergence of the block methods for Hermitian, normal and $J$-Hermitian matrices is proven. In order to obtain the convergence results for the block methods that solve other eigenvalue problems, such as the generalized eigenvalue problem, we consider the convergence of a general block iterative process which uses the complex block Jacobi annihilators and operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00533 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convergence of the complex block Jacobi methods under the generalized serial pivot strategies Begovic, Erna Hari, Vjeran Numerical Analysis 65F15 The paper considers the convergence of the complex block Jacobi diagonalization methods under the large set of the generalized serial pivot strategies. The global convergence of the block methods for Hermitian, normal and $J$-Hermitian matrices is proven. In order to obtain the convergence results for the block methods that solve other eigenvalue problems, such as the generalized eigenvalue problem, we consider the convergence of a general block iterative process which uses the complex block Jacobi annihilators and operators. |
| title | Convergence of the complex block Jacobi methods under the generalized serial pivot strategies |
| topic | Numerical Analysis 65F15 |
| url | https://arxiv.org/abs/2401.00533 |