Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600418 | Linear Algebra and its Applications | 2012 | 12 Pages |
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.
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Physical Sciences and Engineering
Mathematics
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