A Projective Newton Method for Semilinear Operator Equations in Banach Spaces

DOI10.1093/imanum/10.4.505zbMath0712.65052OpenAlexW2073453289MaRDI QIDQ3197217

Pierpaolo Omari, Igor Moret

Publication date: 1990

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/10.4.505

zbMATH Keywords

Banach spacessemilinear equationsuperlinear convergenceprojective Newton methodlocal attraction theoremsprojective Krylov-type iteration

Mathematics Subject Classification ID

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

Related Items

The methods of Vorobyev and Lanczos, Error analysis of reiterated projection methods for Hammerstein integral equations, A survey of numerical methods for solving nonlinear integral equations, A quasi-Newton method for solving fixed point problems in Hilbert spaces