Properties of regular systems and algorithmic improvements for regular decomposition

DOI10.1016/j.camwa.2008.12.002zbMath1186.68583OpenAlexW2009491545MaRDI QIDQ971615

Meng Jin

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.12.002

zbMATH Keywords

algorithmsubresultantMapleregular systemconstructible set

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Uses Software

• dpgb
• Maple

Cites Work

• Solving zero-dimensional algebraic systems
• Decomposing polynomial systems into simple systems
• A complete algorithm for counting real solutions of polynomial systems of equations and inequalities.
• Computing triangular systems and regular systems
• A note on Wu's non-degenerate condition
• Optimizations of the subresultant algorithm
• Improving the DISPGB algorithm using the discriminant ideal
• Unmixed-dimensional decomposition of a finitely generated perfect differential ideal
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