Perturbation results on the zero-locus of a polynomial

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• 作者：Maria-Laura Torrente^a ; ^{torrente@dima.unige.it} ; Mauro C. Beltrametti^a ; ^{beltrametti@dima.unige.it} ; Andrew J. Sommese^b ; ^{sommese@nd.edu}
• 关键词：primary ; 65H04 ; 26C10 ; secondary ; 15A60
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：May-June 2017
• 年：2017
• 卷：80
• 期：part_P2
• 页码：307-328
• 全文大小：558 K
• 卷排序：80

文摘

Let f and g be complex multivariate polynomials of the same degree. Extending Beauzamy's results which hold in the univariate case, we bound the Euclidean distance of points belonging to the zero-loci of f and g   in terms of the Bombieri norm of the difference g−fg−f. We also discuss real perturbations of real polynomials.