Disc separation of the Schur complement of diagonally dominant matrices and determinantal bounds

被引：39
|
作者：
Liu, JZ [1 ]
Zhang, FZ
机构：
[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China
[2] Nova SE Univ, Div Math Sci & Technol, Ft Lauderdale, FL 33314 USA
[3] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Liaoning, Peoples R China
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2005年 / 27卷 / 03期
关键词：
Brauer theorem; comparison matrix; diagonally dominant matrix; doubly diagonally dominant matrix; Gersgorin theorem; H-matrix; M-matrix; Schur complement; separation;
D O I：
10.1137/040620369
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Gersgorin disc separation from the origin for (doubly) diagonally dominant matrices and their Schur complements, showing that the separation of the Schur complement of a (doubly) diagonally dominant matrix is greater than that of the original grand matrix. As application we discuss the localization of eigenvalues and present some upper and lower bounds for the determinant of diagonally dominant matrices.
引用
收藏
页码：665 / 674
页数：10
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