Computing Zeros of Sections of Vector Bundles Using Homotopies and Relocalization

Published Online:https://doi.org/10.1287/moor.21.1.26

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.

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