On diagonal-Schur complements of block diagonally dominant matrices |
| |
| Authors: | Yao-tang Li Shun-ping Ouyang Rui-Wu Wang |
| |
| Institution: | a School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China
b State Key Laboratory of Genetic Resources and Evolution, Ecology, Conservation, and Environment Center, Kunming Institute of Zoology, Chinese Academy of Science, Kunming, Yunnan 650223, PR China |
| |
| Abstract: | It is known that the diagonal-Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant matrices J.Z. Liu, Y.Q. Huang, Some properties on Schur complements of H-matrices and diagonally dominant matrices, Linear Algebra Appl. 389 (2004) 365-380], and the same is true for nonsingular H-matrices J.Z. Liu, J.C. Li, Z.T. Huang, X. Kong, Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices, Linear Algebra Appl. 428 (2008) 1009-1030]. In this paper, we research the properties on diagonal-Schur complements of block diagonally dominant matrices and prove that the diagonal-Schur complements of block strictly diagonally dominant matrices are block strictly diagonally dominant matrices, and the same holds for generalized block strictly diagonally dominant matrices. |
| |
| Keywords: | Diagonal-Schur complement Schur complement Block strictly diagonally dominant matrix Generalized block strictly diagonally dominant matrix H-matrix |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
