G. Huguet, R. de la Llave, Y. Sire Fast iteration of cocycles over rotations and Computation of hyperbolic bundles (899K, pdf) ABSTRACT. We present numerical algorithms that use small requirements of storage and operations to compute the iteration of cocycles over a rotation. We also show that these algorithms can be used to compute efficiently the stable and unstable bundles and the Lyapunov exponents of the cocycle.