Effective approximation of the solutions of algebraic equations. (March 2022)

• Record Type: Journal Article
• Authors: Bilski, Marcin; Scheiblechner, Peter
• Is Part Of: Journal of symbolic computation. Volume 109(2022)
• Page Start: 144
• Page End: 176
• Publication Date: 2022-03
• Subjects: 14Q99 -- 32B10 -- 32C07 -- 65H10 -- 68W30; Algebraic variety -- Holomorphic map -- Nash map -- Approximation -- Algorithm -- Discriminant; 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.2021.08.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: Let F be a holomorphic map whose components satisfy some polynomial relations. We present an algorithm for constructing Nash maps locally approximating F, whose components satisfy the same relations.