Numerical algorithms for detecting embedded components. (September 2017)

• Record Type: Journal Article
• Authors: Krone, Robert; Leykin, Anton
• Is Part Of: Journal of symbolic computation. Volume 82(2017)
• Page Start: 1
• Page End: 18
• Publication Date: 2017-09
• Subjects: Numerical algebraic geometry -- Macaulay dual space -- Primary decomposition; 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.2016.12.004
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We produce algorithms to detect whether a complex affine variety computed and presented numerically by the machinery of numerical algebraic geometry corresponds to an associated component of a polynomial ideal.