This paper presents 1, 3-Bohemian inverses of a certain type of structured -1, 0, 1-matrices, particularly full and well-settled matrices. It begins by characterizing the rank-one Bohemian matrices for the population P = -1, 0, 1. Characterizations of the 3 and 1, 3-Bohemian inverses are presented for arbitrary population over the set -1, 0, 1. Furthermore, explicit formulas are provided to enumerate the 1, 3-Bohemian inverses of these matrices when the population is exactly -1, 0, 1. Moreover, corresponding results for 3-inverses are obtained.
CHOWDHRY et al. (Wed,) studied this question.