Localization and Perturbations of Roots to Systems of Polynomial Equations

Author

Gil', Michael

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-03

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Gil', Michael. 2012. Localization and Perturbations of Roots to Systems of Polynomial Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-488576

Modern Language Association (MLA)

Gil', Michael. Localization and Perturbations of Roots to Systems of Polynomial Equations. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-488576

American Medical Association (AMA)

Gil', Michael. Localization and Perturbations of Roots to Systems of Polynomial Equations. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-488576

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-488576