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

Baoxin Shang, Shugong Zhang, Chang Tan, Peng Xia

Type: Article

Publication Date: 2017-12-01

Citations: 5

DOI: https://doi.org/10.1007/s11424-017-6324-0

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Locations

Journal of Systems Science and Complexity - View

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+	Rational Univariate Representation of Zero-Dimensional Ideals with Parameters	2022	Dingkang Wang Jingjing Wei Fanghui Xiao Xiaopeng Zheng
+	An Improvement of the Rational Representation for High-Dimensional Systems	2020	Fanghui Xiao Dong Lu Xiaodong Ma Dingkang Wang
+	On the Univariate Vector-Valued Rational Interpolation and Recovery Problems	2024	Lixia Xiao Peng Xia Shugong Zhang
+ PDF Chat	Computing Independent Variable Sets for Polynomial Ideals	2022	Zhuoran Yang Chang Tan

Works Cited by This (8)

Action	Title	Year	Authors
+	Gröbner Bases: A Computational Approach to Commutative Algebra	2011	Thomas Becker Volker Weispfenning Heinz Kredel
+	A Modular Method to Compute the Rational Univariate Representation of Zero-dimensional Ideals	1999	Masayuki Noro Kazuhiro Yokoyama
+	Computing polynomial univariate representations of zero-dimensional ideals by Gröbner basis	2012	Xiaodong Ma Yao Sun Dingkang Wang
+	Solving Zero-Dimensional Systems Through the Rational Univariate Representation	1999	Fabrice Rouillier
+	Rational Univariate Reduction via toric resultants	2008	Koji Ōuchi John Keyser
+	Numerical Analysis, A Second Course	1973	C. W. de Boor James M. Ortega
+	An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system	2011	Deepak Kapur Yao Sun Dingkang Wang
+	Gröbner Bases	1993	Thomas Becker Volker Weispfenning