Improvements of Lagrange's bound for polynomial roots
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[1] L. Zoretti. Sur la résolution des équations numériques , 1909 .
[2] M. Fujiwara,et al. Über die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichung , 1916 .
[3] E. C. Westerfield. New Bounds for the Roots of an Algebraic Equation , 1931 .
[4] J. Dieudonné,et al. La théorie analytique des polynomes d'une variable (à coefficients quelconques) , 1938 .
[5] W. Specht,et al. Algebraische Gleichungen Mit Reellen Oder Komplexen Koeffizienten , 1958 .
[6] A. Ostrowski. Solution of equations and systems of equations , 1967 .
[7] M. Marden. Geometry of Polynomials , 1970 .
[8] A. Sluis. Upperbounds for roots of polynomials , 1970 .
[9] J B Kiostelikis,et al. Bounds for positive roots of polynomials , 1986 .
[10] Hoon Hong,et al. Bounds for Absolute Positiveness of Multivariate Polynomials , 1998, J. Symb. Comput..
[11] M. Mignotte,et al. Polynomials: An Algorithmic Approach , 1999 .
[12] Q. I. Rahman,et al. Analytic theory of polynomials , 2002 .
[13] Maurice Mignotte,et al. On an estimation of polynomial roots by Lagrange , 2002 .
[14] P. Batra. A property of the nearly optimal root-bound , 2004 .
[15] Arno Eigenwillig,et al. Real root isolation for exact and approximate polynomials using Descartes' rule of signs , 2008 .
[16] A. Cauchy. Sur la résolution des équations numériques et sur la théorie de l'élimination , 2009 .
[17] Kurt Mehlhorn,et al. Faster algorithms for computing Hong's bound on absolute positiveness , 2010, J. Symb. Comput..
[18] George E. Collins. Krandick's proof of Lagrange's real root bound claim , 2015, J. Symb. Comput..
[19] Prashant Batra,et al. On the Quality of Some Root-Bounds , 2015, MACIS.