Decoupling highly structured polynomial systems. (March 2017)

• Record Type: Journal Article
• Authors: Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew E.
• Is Part Of: Journal of symbolic computation. Volume 79:Part 3(2017)
• Page Start: 508
• Page End: 515
• Publication Date: 2017-03
• Subjects: Polynomial system -- Homotopy continuation -- Decoupling -- Numerical algebraic geometry; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.07.016
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: 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.