The majorant method and convergence for solving nondifferentiable equations in Banach space

DOI10.1016/S0096-3003(99)00183-6zbMath1023.65054OpenAlexW2116539089WikidataQ126867937 ScholiaQ126867937MaRDI QIDQ5931697

Danfu Han

Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00183-6

zbMATH Keywords

convergenceNewton's methodBanach spacemajorant methodnondifferentiable operator

Mathematics Subject Classification ID

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

Related Items

Newton-based matrix splitting iteration methods for the weakly nonlinear system ⋮ Modified Newton-type iteration methods for generalized absolute value equations ⋮ A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators ⋮ Newton-based matrix splitting method for generalized absolute value equation

Cites Work

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• On the solution of equations with nondifferentiable and Ptak error estimates
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Convergence of Newton’s method and inverse function theorem in Banach space