Optimal properties of tensor product of B-bases
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912194652798976 |
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| author | Delgado, Jorge Orera, Héctor Peña, Juan Manuel |
| author_facet | Delgado, Jorge Orera, Héctor Peña, Juan Manuel |
| contents | It is proved the optimal conditioning for the infinity norm of collocation matrices of the tensor product of normalized B-bases among the tensor product of all normalized totally positive bases of the corresponding space of functions. Bounds for the minimal eigenvalue and singular value and illustrative numerical examples are also included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal properties of tensor product of B-bases Delgado, Jorge Orera, Héctor Peña, Juan Manuel Numerical Analysis 65D17, 65F35, 15A123, 15A18 It is proved the optimal conditioning for the infinity norm of collocation matrices of the tensor product of normalized B-bases among the tensor product of all normalized totally positive bases of the corresponding space of functions. Bounds for the minimal eigenvalue and singular value and illustrative numerical examples are also included. |
| title | Optimal properties of tensor product of B-bases |
| topic | Numerical Analysis 65D17, 65F35, 15A123, 15A18 |
| url | https://arxiv.org/abs/2501.11365 |