%0 Journal Article
%T Numerical Algorithms for Finding Balanced Metrics on Vector Bundles
%A Reza Seyyedali
%J Mathematics
%D 2008
%I arXiv
%X In \cite{D3}, Donaldson defines a dynamical system on the space of Fubini-Study metrics on a polarized compact K\"ahler manifold. Sano proved that if there exists a balanced metric for the polarization, then this dynamical system always converges to the balanced metric (\cite{S}). In \cite{DKLR}, Douglas, et. al., conjecture that the same holds in the case of vector bundles. In this paper, we give an affirmative answer to their conjecture.
%U http://arxiv.org/abs/0804.4005v2