Computing Zeros of Sections of Vector Bundles using Homotopies and Relocalization

Computing Zeros of Sections of Vector Bundles using Homotopies and Relocalization

Mathematics of Operations Research.
1996, Vol. 21, Pages 26-43

An algorithm is described for computing fixed points on a Grassmannian manifold. The method can be applied in the more general setting of solving equations on abstract smooth manifolds into vector bundles. This development is part of a project to compute economic equilibria in the presence of incomplete markets.