On the solution of equations with nondifferentiable and Ptak error estimates

DOI10.1007/BF01933222zbMath0726.65063OpenAlexW1978955258MaRDI QIDQ804236

Ioannis K. Argyros

Publication date: 1990

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933222

zbMATH Keywords

error estimatesNewton's methodnonlinear operator equations

Mathematics Subject Classification ID

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

Related Items (13)

Improved error bounds for Newton's method under generalized Zabrejko- Nguen-type assumptions ⋮ An Iterative Method for Solving Nonlinear Operator Equations Using Generalized Divided Differences ⋮ Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms ⋮ A unified approach for constructing fast two-step Newton-like methods ⋮ The super-Halley method using divided differences ⋮ Improved error bounds for Newton-like iterations under Chen-Yamamoto conditions ⋮ Improved á posterìori error bounds for zincenko's iteration ⋮ On the radius of convergence of newton's method ⋮ The majorant method and convergence for solving nondifferentiable equations in Banach space ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications ⋮ A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications ⋮ The midpoint method in Banach spaces and the Pták error estimates

Cites Work

• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates

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