Geodesic
The projective-Newton methods
Mathematica Applicanda, Tome 14 (1986) no. 27, pp. 43-61.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we consider the Newton-like methods for the solution of nonlinear equations. In each step of the Newton method the linear equations are solved approximatively by a projection method. We call this a projective-Newton method. We investigate the convergence and the order of convergence for these methods. Next, the projective-Newton methods in the finite element space are applied for nonlinear elliptic boundary value problems. In this case the linear equations of the Newton method are solved by the Ritz method.
DOI : 10.14708/ma.v14i27.1664
Classification : 65N30 (65H05)
Mots-clés : Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods, Single equations 
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Grażyna Hobot; Teresa Pokora. The projective-Newton methods. Mathematica Applicanda, Tome 14 (1986) no. 27, pp.  43-61. doi : 10.14708/ma.v14i27.1664. http://geodesic.mathdoc.fr/articles/10.14708/ma.v14i27.1664/

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