2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196172We 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.25 pages, 2 figuresHigh Energy Physics - Theorytext