Abstract
A formula due to F. Stenger expresses the topological degree of a continuous mapping defined on a polyhedron inR n as a constant times a sum of determinants ofn×n matrices. We replace these determinant evaluations by a scanning procedure which examines their associated matrices and at each ofn?1 steps discards at least half of the matrices remaining from the previous step. Finally we obtain a lower bound for the number of matrices present originally, thus giving an estimate for the minimum amount of labour needed in many cases to compute the degree using this method.
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