-splittings of matrices

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• 作者：Litismita Jena^a ; ^{litumath@gmail.com} ; Debasisha Mishra^b ; ^{kapamath@gmail.com}
• 关键词：15A09 ; 65F15 ; 65F20
• 刊名：Linear Algebra and its Applications
• 出版年：2012
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：15 August, 2012
• 卷：437
• 期：4
• 页码：1162-1173
• 文件大小：294 K

摘要

A new matrix decomposition of real square singular matrices called -splitting is proposed by extending the notion of B-splitting 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.