Families of rational maps and convergence basins of Newton's method

DOI10.3792/pjaa.68.143zbMath0762.58019OpenAlexW2085282228MaRDI QIDQ1201500

Masayo Fujimura, Kiyoko Nishizawa

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.143

zbMATH Keywords

Newton's methodrational mapNewton mapimmediate basin

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (3)

Dynamics and limiting behavior of Julia sets of König's method for multiple roots ⋮ Families of rational maps and convergence basins of Newton's method ⋮ Newton's method over global height fields

Cites Work

• On the existence of generally convergent algorithms
• Families of rational maps and iterative root-finding algorithms
• Families of rational maps and convergence basins of Newton's method
• On the efficiency of algorithms of analysis
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