A simplified rational representation for positive-dimensional polynomial systems and SHEPWM equations solving |
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| Authors: | Baoxin Shang Shugong Zhang Chang Tan Peng Xia |
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| Institution: | 1.School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education),Jilin University,Changchun,China;2.College of Science,Northeast Electric Power University,Jilin,China;3.College of Science,Northeast Forestry University,Harbin,China;4.School of Mathematics,Liaoning University,Shenyang,China |
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| Abstract: | The paper is concerned with the improvement of the rational representation theory for solving positive-dimensional polynomial systems. The authors simplify the expression of rational representation set proposed by Tan and Zhang (2010), obtain the simplified rational representation with less rational representation sets, and hence reduce the complexity for representing the variety of a positive-dimensional ideal. As an application, the authors compute a “nearly” parametric solution for the SHEPWM problem with a fixed number of switching angles. |
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