Every nxn generalized K-centrosymmetric matrix A can be reduced into a 2x2 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.
Journal of Computational and Applied Mathematics
- Pub Date:
- May 2008
- Generalized K-centrosymmetric;
- Matrix square root;
- Iterative method