Extension of the Lanczos and CGS methods to systems of nonlinear equations (Q1919474)

Some nonlinear methods induced by linear ones, such as the Lanczos and the CGS methods, are considered. Section 2 points out the link between the nonlinear extensions and the Lanczos and the CGS methods, and presents the implementation of these extensions. A sufficient condition for quadratic convergence of the nonlinear extensions is proved in Section 3. Some numerical examples illustrating these nonlinear extensions are given in the last section.