On the Inversion of Polynomials of Discrete Laplace Matrices
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912895529385984 |
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| author | Asghar, Sabia Peng, Qiyao Vermolen, Fred Vuik, Cornelis |
| author_facet | Asghar, Sabia Peng, Qiyao Vermolen, Fred Vuik, Cornelis |
| contents | The efficient inversion of matrix polynomials is a critical challenge in computational mathematics. We design a procedure to determine the inverse of matrices polynomial of multidimensional Laplace matrices. The method is based on eigenvector and eigenvalue expansions. The method is consistent with previous expressions of the inverse discretized Laplacian in one spatial dimension \citep{Vermolen_2022}. Several examples are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Inversion of Polynomials of Discrete Laplace Matrices Asghar, Sabia Peng, Qiyao Vermolen, Fred Vuik, Cornelis Numerical Analysis The efficient inversion of matrix polynomials is a critical challenge in computational mathematics. We design a procedure to determine the inverse of matrices polynomial of multidimensional Laplace matrices. The method is based on eigenvector and eigenvalue expansions. The method is consistent with previous expressions of the inverse discretized Laplacian in one spatial dimension \citep{Vermolen_2022}. Several examples are given. |
| title | On the Inversion of Polynomials of Discrete Laplace Matrices |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2511.19724 |