On μ-symmetric polynomials

DOI10.1142/S0219498822502334zbMath1506.12001arXiv2001.07403OpenAlexW3199401616MaRDI QIDQ5046095

Jing Yang, Chee-Keng Yap

Publication date: 27 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07403

zbMATH Keywords

symmetric functionmultiple roots\(\mu\)-ideal\(\mu\)-symmetric polynomial\(D\)-plus discriminantgist polynomiallift polynomial

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Symmetric functions and generalizations (05E05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational methods for problems pertaining to field theory (12-08)

Uses Software

• Maple

Cites Work

• On \(\mu\)-symmetric polynomials and D-plus
• A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration
• From approximate factorization to root isolation with application to cylindrical algebraic decomposition
• Complexity Analysis of Root Clustering for a Complex Polynomial
• Algorithms in real algebraic geometry
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