Article ID Journal Published Year Pages File Type
4600418 Linear Algebra and its Applications 2012 12 Pages PDF
Abstract

A new matrix decomposition of real square singular matrices called BD-splitting is proposed by extending the notion of B-splitting [16] for nonsingular matrices. Then different convergence and comparison theorems for these splittings are discussed. Another convergence theorem using a generalized regular splitting is also proved. As a result, a new characterization of monotone matrices using regular splitting is obtained as a corollary.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory