Perturbation results on the zero-locus of a polynomial

作者：Torrente Maria Laura^*; Beltrametti Mauro C; Sommese Andrew J

来源：Journal of Symbolic Computation, 2017, 80: 307-328.

DOI：10.1016/j.jsc.2016.04.001

• Bombieri's norm
• Walsh's Contraction Principle
• Location of zeros of multivariate polynomials
• Perturbations of real polynomials

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 - f. We also discuss real perturbations of real polynomials.

• 出版日期2017-6