Closed formula for univariate subresultants in multiple roots

DOI10.1016/j.laa.2018.12.010zbMath1408.13075arXiv1612.05160OpenAlexW2963536477WikidataQ128751875 ScholiaQ128751875MaRDI QIDQ1736211

Marcelo Valdettaro, Carlos D'Andrea, Agnes Szanto, Teresa Krick

Publication date: 26 March 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05160

zbMATH Keywords

Schur functionssubresultantsexchange lemmaformulas in roots

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Solving polynomial systems; resultants (13P15)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Sylvester's double sums: an inductive proof of the general case
• Sylvester double sums and subresultants
• Double Sylvester sums for subresultants and multi-Schur functions.
• Various new expressions for subresultants and their applications
• Interpolation for symmetric functions
• Subresultants in multiple roots
• Subresultants in multiple roots: an extremal case
• An elementary proof of Sylvester's double sums for subresultants
• The Generalized Vandermonde Matrix
• Symmetric interpolation, Exchange Lemma and Sylvester sums

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