Chowdhry, G.Stanimirovi?, P.S.Roy, F.2026-02-032025Filomat, 2025, 39, 10, pp. 3263-32783545180https://doi.org/10.2298/FIL2510263Chttps://idr.nitk.ac.in/handle/123456789/20726This 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. © 2025, University of Nis. All rights reserved.Bohemian inversesGeneralized inversesRhapsodic matrices{1,3}-inverses