On an Algebraic System of Equations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2004
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| _version_ | 1866909853449977856 |
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| author | Hakopian, H. Tonoyan, M. |
| author_facet | Hakopian, H. Tonoyan, M. |
| contents | We study a class of overdetermined algebraic systems of equations. We prove that the number of distinct solutions equals to the maximal possible if and only if certain matrices are commuting and semisimple. This gives a characterization of correct systems of points for multivariate Lagrange interpolation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0403459 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | On an Algebraic System of Equations Hakopian, H. Tonoyan, M. Algebraic Geometry Numerical Analysis 14C17, 13H15, 13F20 We study a class of overdetermined algebraic systems of equations. We prove that the number of distinct solutions equals to the maximal possible if and only if certain matrices are commuting and semisimple. This gives a characterization of correct systems of points for multivariate Lagrange interpolation. |
| title | On an Algebraic System of Equations |
| topic | Algebraic Geometry Numerical Analysis 14C17, 13H15, 13F20 |
| url | https://arxiv.org/abs/math/0403459 |