A Jacobi-Type Eigensolver for Diagonally Dominant Symmetric Matrices
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917531306950656 |
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| author | Gemignani, Luca |
| author_facet | Gemignani, Luca |
| contents | This paper presents a Jacobi-type iteration for computing a given specified eigenpair of a symmetric matrix. For a certain class of diagonally dominant matrices, the procedure is shown to converge at a linear rate depending on how the matrix is significantly dominated. The cost per iteration is generally quadratic. Therefore, the proposed procedure can compute an approximation of the desired eigenpair in quadratic time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25613 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Jacobi-Type Eigensolver for Diagonally Dominant Symmetric Matrices Gemignani, Luca Numerical Analysis 65F15 This paper presents a Jacobi-type iteration for computing a given specified eigenpair of a symmetric matrix. For a certain class of diagonally dominant matrices, the procedure is shown to converge at a linear rate depending on how the matrix is significantly dominated. The cost per iteration is generally quadratic. Therefore, the proposed procedure can compute an approximation of the desired eigenpair in quadratic time. |
| title | A Jacobi-Type Eigensolver for Diagonally Dominant Symmetric Matrices |
| topic | Numerical Analysis 65F15 |
| url | https://arxiv.org/abs/2605.25613 |