The projective-Newton methods

Grażyna Hobot, and Teresa Pokora. "The projective-Newton methods." Mathematica Applicanda 14.27 (1986): null. <http://eudml.org/doc/293365>.

@article{GrażynaHobot1986,
abstract = {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.},
author = {Grażyna Hobot, Teresa Pokora},
journal = {Mathematica Applicanda},
keywords = {Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods; Single equations},
language = {eng},
number = {27},
pages = {null},
title = {The projective-Newton methods},
url = {http://eudml.org/doc/293365},
volume = {14},
year = {1986},
}

TY - JOUR
AU - Grażyna Hobot
AU - Teresa Pokora
TI - The projective-Newton methods
JO - Mathematica Applicanda
PY - 1986
VL - 14
IS - 27
SP - null
AB - 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.
LA - eng
KW - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods; Single equations
UR - http://eudml.org/doc/293365
ER -