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Some remarks on Fitzpatrick and Flynn’s Gröbner basis technique for Padé approximation

✍ Scribed by John B. Little; David Ortiz; Ricardo Ortiz-Rosado; Rebecca Pablo; Karen Rı́os-Soto

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 118 KB
Volume: 35
Category: Article
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(03)00041-5

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A Gröbner basis technique for Padé appro

A Gröbner basis technique for Padé approximation

✍ Patrick Fitzpatrick; John Flynn 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 381 KB

We consider solving for a and b the congruence a ~ bh mod I, where a, b and h are (multivariable) polynomials and I is a polynomial ideal. This is a generalization of the well-known problem of Pad6 approximation of which decoding Hensel codes is a special case. We show how Gr~bner bases of modules m