Generalizations of \(M\)-matrices which may not have a nonnegative inverse
From the authors' summary: Generalizations of \(M\)-matrices are studied, including the new class of \(G\)M-matrices. The matrices studied are of the form \(sI-B\) with \(B\) having the Perron-Frobenius property, but not necessarily being nonnegative. Results for these classes of matrices are shown, which are analogous to those known for \(M\)-matrices. Also, various splittings of a \(G\)M-matrix are studied along with conditions for their convergence.
scientific article; zbMATH DE number 5362053
scientific article