On the distance to a root of polynomials

DOI10.1155/2011/495312zbMath1253.37049OpenAlexW2032231543WikidataQ58654247 ScholiaQ58654247MaRDI QIDQ657130

Somjate Chaiya

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/495312

zbMATH Keywords

Newton's methoddynamical systemsbasin of attractionroots of polynomials

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

ON THE DISTANCE TO A ROOT OF COMPLEX POLYNOMIALS UNDER NEWTON'S METHOD ⋮ A uniform bound for the distance to a root of complex polynomials under Newton's method

Cites Work

• On the number of iterations of Newton's method for complex polynomials
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