Some properties of generalized K-centrosymmetric H-matrices

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• 作者：Zhongyun Liu ; H. Faß ; bender
• 关键词：Generalized K-centrosymmetric ; Matrix square root ; H-matrix ; Iterative method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2008
• 出版时间：15 May 2008
• 年：2008
• 卷：215
• 期：1
• 页码：38-48
• 全文大小：182 K

文摘

Every n×n generalized K-centrosymmetric matrix A can be reduced into a 2×2 block diagonal matrix (see [Z. Liu, H. Cao, H. Chen, A note on computing matrix–vector products with generalized centrosymmetric (centrohermitian) matrices, Appl. Math. Comput. 169 (2) (2005) 1332–1345]). This block diagonal matrix is called the reduced form of the matrix A. In this paper we further investigate some properties of the reduced form of these matrices and discuss the square roots of these matrices. Finally exploiting these properties, the development of structure-preserving algorithms for certain computations for generalized K-centrosymmetric H-matrices is discussed.