Convergence of iterations of Euler family under weak condition

DOI10.1007/BF02879801zbMath0999.65047OpenAlexW2060150827MaRDI QIDQ1609572

Xinghua Wang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02879801

zbMATH Keywords

convergenceBanach spaceuniversal constantiterations of Euler familyzero of operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Uniform convergence of higher order quasi Hermite-Fejér interpolation ⋮ Two-square theorems for infinite matrices on certain fields ⋮ Local and global behavior for algorithms of solving equations ⋮ On the local convergence of a family of Euler-halley type iterations with a parameter

Cites Work

• Convergence of the iteration of Halley's family and Smale operator class in Banach space
• Convergence on the iteration of Halley family in weak conditions
• Convergence of Newton’s method and inverse function theorem in Banach space
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