Stepsize control for Newton's method in the presence of singularities
Numerical Analysis
2013-08-01 v1
Abstract
Singularities in the Jacobian matrix are an obstacle to Newton's method. We show that stepsize controls suggested by Deuflhard and Steinhoff can be used to detect and rapidly converge to such singularities.
Keywords
Cite
@article{arxiv.1307.8411,
title = {Stepsize control for Newton's method in the presence of singularities},
author = {Michael Kratzer},
journal= {arXiv preprint arXiv:1307.8411},
year = {2013}
}
Comments
14 pages, 4 figures