A geometric Newton method for Oja's vector field
Numerical Analysis
2010-03-11 v1
Abstract
Newton's method for solving the matrix equation runs up against the fact that its zeros are not isolated. This is due to a symmetry of by the action of the orthogonal group. We show how differential-geometric techniques can be exploited to remove this symmetry and obtain a ``geometric'' Newton algorithm that finds the zeros of . The geometric Newton method does not suffer from the degeneracy issue that stands in the way of the original Newton method.
Keywords
Cite
@article{arxiv.0804.0989,
title = {A geometric Newton method for Oja's vector field},
author = {P. -A. Absil and M. Ishteva and L. De Lathauwer and S. Van Huffel},
journal= {arXiv preprint arXiv:0804.0989},
year = {2010}
}