A simplified rational representation for positive-dimensional polynomial systems and SHEPWM equations solving

DOI10.1007/s11424-017-6324-0zbMath1402.14077OpenAlexW2772425481MaRDI QIDQ1621120

Chang Tan, Shugong Zhang, Peng Xia, Baoxin Shang

Publication date: 8 November 2018

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

Full work available at URL: https://doi.org/10.1007/s11424-017-6324-0

zbMATH Keywords

rational univariate representationpositive-dimensional polynomial system solvingSHEPWMsimplified rational representation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15)

Related Items (1)

An improvement of the rational representation for high-dimensional systems

Uses Software

• ISOLATE

Cites Work

• Solving zero-dimensional systems through the rational univariate representation
• A modular method to compute the rational univariate representation of zero-dimensional ideals
• An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system
• Computing polynomial univariate representations of zero-dimensional ideals by Gröbner basis
• Rational univariate reduction via toric resultants
• Using Algebraic Geometry
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