On the Jacobi formula for Bivariate Pade Approximants of Rectangular Type
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911315646218240 |
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| author | Hegarty, Gareth |
| author_facet | Hegarty, Gareth |
| contents | In this paper a recursive algorithm is presented for evaluating multivariate Padé approximants (of the rectangular type described in the work of Lutterodt) which is analogous to the Jacobi formula for univariate Padé approximants. This algorithm is then applied to a (singular) Riccati differential equation to generate fast and accurate approximate solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11238 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Jacobi formula for Bivariate Pade Approximants of Rectangular Type Hegarty, Gareth Numerical Analysis 41A21, 34M04 In this paper a recursive algorithm is presented for evaluating multivariate Padé approximants (of the rectangular type described in the work of Lutterodt) which is analogous to the Jacobi formula for univariate Padé approximants. This algorithm is then applied to a (singular) Riccati differential equation to generate fast and accurate approximate solutions. |
| title | On the Jacobi formula for Bivariate Pade Approximants of Rectangular Type |
| topic | Numerical Analysis 41A21, 34M04 |
| url | https://arxiv.org/abs/2512.11238 |