Highly Influenced

8 Excerpts

- Published 2010 in Math. Comput.

We propose a new matrix geometric mean satisfying the ten properties given by Ando, Li and Mathias [Linear Alg. Appl. 2004]. This mean is the limit of a sequence which converges superlinearly with convergence of order 3 whereas the mean introduced by Ando, Li and Mathias is the limit of a sequence having order of convergence 1. This makes this new mean very easily computable. We provide a geometric interpretation and a generalization which includes as special cases our mean and the Ando-Li-Mathias mean.

@article{Bini2010AnEM,
title={An effective matrix geometric mean satisfying the Ando-Li-Mathias properties},
author={Dario Bini and Beatrice Meini and Federico Poloni},
journal={Math. Comput.},
year={2010},
volume={79},
pages={437-452}
}