Comparisons of spectral radii and the theorem of Stein–Rosenberg Original Research Article

The theorem of Stein–Rosenberg is generalized to the case of two M-splittings A=M1−N1=M2−N2, where the Mi are M-matrices and N1greater-or-equal, slantedN2greater-or-equal, slanted0,N1≠N2,N2≠0.