Study of \(D\)-decompositions by the methods of computational real-valued algebraic geometry

DOI10.1134/S0005117912120041zbMath1268.93032arXiv1202.1777MaRDI QIDQ2393036

O. O. Vasil'ev

Publication date: 7 August 2013

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1777

zbMATH Keywords

Gröbner basescylindrical decompositioncomputational real-valued algebraic geometrysymbolic calculation system maple

Mathematics Subject Classification ID

Geometric methods (93B27) System structure simplification (93B11)

Related Items (1)

D-decomposition in the case of polynomial dependence of the coefficients of a polynomial on two parameters

Uses Software

• Maple
• RegularChains

Cites Work

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• \(D\)-decomposition technique state-of-the-art
• Asymptotic behaviour of Betti numbers of real algebraic surfaces
• On the Bézout construction of the resultant
• A formula for computation of the real stability radius
• Stability regions in the parameter space: \(D\)-decomposition revisited
• THE TOPOLOGY OF REAL PROJECTIVE ALGEBRAIC VARIETIES
• Lower Bounds for Approximation by Nonlinear Manifolds

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