 Integer relation algorithm

An integer relation between a set of real numbers "x"1, "x"2, ..., "x""n" is a set of integers "a"1, "a"2, ..., "a""n", not all 0, such that

An integer relation algorithm is an algorithm for finding integer relations.Specifically, given a set of real numbers known to a given precision, an integer relation algorithm will either find an integer relation between them, or will determine that no integer relation exists with coefficients whose magnitudes are less than a certain upper bound.