Decomposing the radicals of polynomial ideals by rational univariate representations

DOI10.1007/S11424-023-2219-4zbMATH Open1546.13032MaRDI QIDQ6595001

Guangxing Zeng, Shuijing Xiao

Publication date: 29 August 2024

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

zbMATH Keywords

valuation ringpolynomial idealWu's methodrational univariate representation (RUR)

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Cites Work

• Solving zero-dimensional systems through the rational univariate representation
• A simplified rational representation for positive-dimensional polynomial systems and SHEPWM equations solving
• An improvement of the rational representation for high-dimensional systems
• Valuation theory
• Valued Fields
• The invertibility of rational univariate representations
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