Comparisons of B<inf>row</inf>-splittings and B<inf>ran</inf>-splittings of matrices

In this article, a convergence theorem and comparison theorems for Brow-splittings and Bran-splittings (introduced in [D. Mishra, K.C. Sivakumar, Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings, Linear Algebra Appl. (accepted)]) are presented. We then conclude with a new characterization of range monotone matrices. © 2013 Copyright Taylor and Francis Group, LLC.