Some properties of generalized Kcentrosymmetric Hmatrices
Abstract
Every nxn generalized Kcentrosymmetric matrix A can be reduced into a 2x2 block diagonal matrix (see [Z. Liu, H. Cao, H. Chen, A note on computing matrixvector products with generalized centrosymmetric (centrohermitian) matrices, Appl. Math. Comput. 169 (2) (2005) 13321345]). 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 structurepreserving algorithms for certain computations for generalized Kcentrosymmetric Hmatrices is discussed.
 Publication:

Journal of Computational and Applied Mathematics
 Pub Date:
 May 2008
 Bibcode:
 2008JCoAM.215...38L
 Keywords:

 Generalized Kcentrosymmetric;
 Matrix square root;
 Hmatrix;
 Iterative method