ABSTRACT

In his paper ‘Sur les matrices nonnégatives, et les solutions positives de certains systèmes linéaires’ (Bulletin de la Société Mathématique de France, 1939, 67: 56–61) Potron described in greater detail the Lanczos recursion method and the criterion he derived from it, nowadays known by economists as the Hawkins-Simon condition. In the beginning of the paper he clearly distinguished the results on nonnegative matrices obtained by Frobenius and those he attributed to himself. Stylistically, this paper is unusual because Potron drew up a list of references at the end of it.