@article{Wang2025, 
author = {Shiyun Wang and Yun Li and Wanfu Tian},
title = {The Schur complement of SDD           1   matrices and its applications},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {23676-23696},
keywords = {SDD1 matrix, Schur complement, diagonal-Schur complement, determinant, large scale linear equations, Schur-based method},
url = {https://www.sciopen.com/article/10.3934/math.20251052},
doi = {10.3934/math.20251052},
abstract = {The Schur complements of H-matrices have a wide range of practical applications. This paper explores the diagonally dominant degrees of the Schur complements of SDD           1   matrices and its applications. it concludes that the Schur complements can be also SDD           1   matrices under certain conditions. Moreover, the upper and lower bounds for the determinants of SDD           1   matrices are presented, and large-scale linear equations with the coefficient matrix being an SDD           1   matrix are solved by Schur-based methods. The numerical results are reported.}
}