TY - JOUR
T1 - On diagonal-Schur complements of block diagonally dominant matrices
AU - Li, Yao tang
AU - Ouyang, Shun ping
AU - Cao, Shu juan
AU - Wang, Rui Wu
PY - 2010/5/1
Y1 - 2010/5/1
N2 - 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.
AB - 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.
KW - Block strictly diagonally dominant matrix
KW - Diagonal-Schur complement
KW - Generalized block strictly diagonally dominant matrix
KW - H-matrix
KW - Schur complement
UR - https://www.scopus.com/pages/publications/77950957977
U2 - 10.1016/j.amc.2010.02.038
DO - 10.1016/j.amc.2010.02.038
M3 - 文章
AN - SCOPUS:77950957977
SN - 0096-3003
VL - 216
SP - 1383
EP - 1392
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 5
ER -