Open AccessLocalization and Perturbations of Roots to Systems of Polynomial Equations
Author(s) -
Michael I. Gil’
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/653914
Subject(s) - mathematics , polynomial , zero (linguistics) , properties of polynomial roots , function (biology) , inequality , mathematical analysis , pure mathematics , matrix polynomial , philosophy , linguistics , evolutionary biology , biology
We establish estimates for the sums of absolute values of solutions of a zero-dimensional polynomial system. By these estimates, inequalities for the counting function of the roots are derived. In addition, bounds for the roots of perturbed systems are suggested
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