A quasi cell mapping approach to the global dynamical analysis of Newton's root-finding algorithm

DOI10.1016/0168-9274(94)00016-6zbMath0811.65040OpenAlexW1977938793MaRDI QIDQ1339331

Roberto Carniel

Publication date: 2 May 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00016-6

zbMATH Keywords

convergenceNewton's methodperiodic motiondynamical systemfixed point iterationbasins of attractionroot-finding algorithmequilibrium cellperiodic cell

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Dynamical systems and ergodic theory (37-XX)

Related Items (3)

A subspace expanding technique for global zero finding of multi-degree-of-freedom nonlinear systems ⋮ Finding zeros of nonlinear functions using the hybrid parallel cell mapping method ⋮ Rigorous bounds for polynomial Julia sets

Cites Work

• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Complex analytic dynamics on the Riemann sphere
• Newton’s Algorithm and Chaotic Dynamical Systems
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