Numerical solution to the hermitian Yang-Mills equation on the Fermat   quintic
  We develop an iterative method for finding solutions to the hermitian Yang-Mills equation on stable holomorphic vector bundles, following ideas recently developed by Donaldson. As illustrations, we construct numerically the hermitian Einstein metrics on the tangent bundle and a rank three vector bundle on P^2. In addition, we find a hermitian Yang-Mills connection on a stable rank three vector bundle on the Fermat quintic. 
Michael R. Douglas, Robert L. Karp, Sergio Lukic and Rene Reinbacher