Localization and Perturbations of Roots to Systems of Polynomial Equations
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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/653914 |
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| _version_ | 1832567017336471552 |
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| author | Michael Gil' |
| author_facet | Michael Gil' |
| author_sort | Michael Gil' |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ffe7e001a3ef4b92a55cc02637ce2f46 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ffe7e001a3ef4b92a55cc02637ce2f462025-02-03T01:02:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/653914653914Localization and Perturbations of Roots to Systems of Polynomial EquationsMichael Gil'0Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, IsraelWe 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.http://dx.doi.org/10.1155/2012/653914 |
| spellingShingle | Michael Gil' Localization and Perturbations of Roots to Systems of Polynomial Equations International Journal of Mathematics and Mathematical Sciences |
| title | Localization and Perturbations of Roots to Systems of Polynomial Equations |
| title_full | Localization and Perturbations of Roots to Systems of Polynomial Equations |
| title_fullStr | Localization and Perturbations of Roots to Systems of Polynomial Equations |
| title_full_unstemmed | Localization and Perturbations of Roots to Systems of Polynomial Equations |
| title_short | Localization and Perturbations of Roots to Systems of Polynomial Equations |
| title_sort | localization and perturbations of roots to systems of polynomial equations |
| url | http://dx.doi.org/10.1155/2012/653914 |
| work_keys_str_mv | AT michaelgil localizationandperturbationsofrootstosystemsofpolynomialequations |