Bibliographic Details
| Title: |
Perturbation results on the zero-locus of a polynomial. |
| Authors: |
Torrente, Maria-Laura1 torrente@dima.unige.it, Beltrametti, Mauro C.1 beltrametti@dima.unige.it, Sommese, Andrew J.2 sommese@nd.edu |
| Source: |
Journal of Symbolic Computation. May2017 Part 2, Vol. 80, p307-328. 22p. |
| Subjects: |
Perturbation theory, Polynomials, Multivariate analysis, Euclidean distance, Univariate analysis |
| Abstract: |
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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
