Decoupling highly structured polynomial systems

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• 作者：Daniel J. Bates^a ; ^{bates@math.colostate.edu" class="auth_mail" title="E-mail the corresponding author} ; Andrew J. Newell^b ; ^{ajnewell@ncsu.edu" class="auth_mail" title="E-mail the corresponding author} ; Matthew E. Niemerg^c ; ^{research@matthewniemerg.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Polynomial system ; Homotopy continuation ; Decoupling ; Numerical algebraic geometry
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：March-April 2017
• 年：2017
• 卷：79
• 期：part_P3
• 页码：508-515
• 全文大小：270 K

文摘

An efficient technique for finding numerical approximations of isolated solutions of polynomial systems with a particular structure is presented. This structure is quite specific but arises naturally, for example when computing the critical points of a symmetric polynomial energy function. An illustrative example from magnetism is presented, along with some timing comparisons.