Improbability of nonconvergent chaos in Newton's method

DOI10.1016/0022-247X(86)90246-5zbMath0634.58008MaRDI QIDQ1096941

John B. Urenko

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

chaosdynamical systemNewton iterative methodNewton procedure

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18)

Related Items (3)

Some informational requirements for convergence ⋮ Improbability of nonconvergence in a cubic root-finding method ⋮ Two-term asymptotics of entire Dirichlet series

Cites Work

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• Newton's Method, Circle Maps, and Chaotic Motion
• A globally convergent algorithm for determining approximate real zeros of a class of functions
• On inequalities of the Turán type

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