Localization and perturbations of roots to systems of polynomial equations

DOI10.1155/2012/653914zbMath1253.65077OpenAlexW2119835414WikidataQ58704951 ScholiaQ58704951MaRDI QIDQ456547

Michael I. Gil'

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/653914

zbMATH Keywords

zero-dimensional polynomial systembounds for the rootscounting function of the roots

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of roots of polynomial equations (65H04)

Cites Work

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• Computing the isolated roots by matrix methods
• Homotopies for systems of polynomial equations
• Operator functions and localization of spectra
• Fractional power series solutions for systems of equations.
• Fiber polytopes and fractional power series
• Solving algebraic equations in terms of \(\mathcal A\)-hypergeometric series
• A bound for functions defined on a normed space
• Bounds for counting functions of finite order entire functions

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