Some properties of generalized K-centrosymmetric H-matrices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:215

Article

Liu, Zhongyun¹  Fassbender, H.² 

[1] Changsha Univ Sci & Technol, Sch Mat & Comp Sci, Changsha 410076, Hunan, Peoples R China

[2] TU Braunschweig, Inst Computat Math, D-38023 Braunschweig, Germany

关键词: generalized K-centrosymmetric;    matrix square root;    H-matrix;    iterative method;   

DOI  :  10.1016/j.cam.2007.03.026

来源: Elsevier

【 摘 要 】

Every n x n generalized K-cent rosy m metric matrix A can be reduced into a 2 x 2 block diagonal matrix (see [Z. Liu, H. Can, 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. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free