Newton iterations without inverting the Derivative

DOI10.1002/mma.1670010409zbMath0411.65032OpenAlexW2052664699MaRDI QIDQ4197981

Jürgen Scheurle

Publication date: 1979

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670010409

zbMATH Keywords

rate of convergenceNewton's methodBanach spacequasiperiodic solutionsiteration procedureLorentz model of stationary convection

Mathematics Subject Classification ID

Free convection (76R10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems ⋮ Bifurcation revisited along footprints of Jürgen Scheurle ⋮ Newton's method's basin of attraction for sign-changing solutions of concave and convex nonlinearities ⋮ A new method for the numerical solution of simultaneous nonlinear equations

Cites Work

• The imbedding problem for Riemannian manifolds
• On the bounded solutions of a semilinear elliptic equation in a strip
• Implicit function theorems and isometric embeddings
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Deterministic Nonperiodic Flow
• On Nash's implicit functional theorem
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