Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509394 | Journal of Computational and Applied Mathematics | 2005 | 17 Pages |
Abstract
We explore here higher-order extrapolations, thus higher-order Newton-like methods. We first consider high-order variants of the Newton-Raphson method applied to non-linear systems of equations. Next, we obtain improved asymptotic convergence results for the quadratic loss penalty algorithm by using high-order extrapolation steps.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jean-Pierre Dussault,