Abstract
In this article, a convergence theorem and comparison theorems for B row -splittings and B ran -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.
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