Cruz, Henrique F. DaRodrigues, Ilda InácioSerôdio, RogérioSimões, A. M.Velhinho, Jose2020-02-062020-02-062017http://hdl.handle.net/10400.6/9051We describe subspaces of generalized Hessenberg matrices where the determinant is convertible into the permanent by affixing ± signs. An explicit characterization of convertible Hessenberg-type matrices is presented. We conclude that convertible matrices with the maximum number of nonzero entries can be reduced to a basic set.engDeterminantPermanentHessenberg matrixConvertible matrixjournal article10.3390/math5040079