A class of generalized Newton iterative schemes

DOI10.1016/S0893-9659(03)00027-2zbMath1050.65058OpenAlexW2069992515MaRDI QIDQ1431899

D. Massart

Publication date: 11 June 2004

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)00027-2

zbMATH Keywords

convergencenonlinear operator equationmajorant methodZabrejko-Nguen conditions\(N\)-step Newton scheme

Mathematics Subject Classification ID

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

Related Items

Newton-type iterative schemes for generalized equations

Cites Work

• Improved error bounds for Newton's method under generalized Zabrejko- Nguen-type assumptions
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• New results on newton-kantorovich approximations with applications to nonlinear integral equations
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