The improved disc theorems for the Schur complements of diagonally dominant matrices
type: Item
instance of: scholarly article
title: The improved disc theorems for the Schur complements of diagonally dominant matrices
zbMATH Open document ID: 1279.15016
DOI: 10.1186/1029-242X-2013-2
author: Juan Zhang
author: Jianzhou Liu
author: Gen Tu
published in: Journal of Inequalities and Applications
publication date: 2014-01-17T00:00:00Z
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 6247647
zbMATH Keywords: Schur complement
zbMATH Keywords: diagonally dominant matrices
zbMATH Keywords: eigenvalue
zbMATH Keywords: Gerschgorin theorem
Wikidata QID: Q59301954
MaRDI profile type: Publication
cites work: The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation
cites work: The dominant degree and disc theorem for the Schur complement of matrix
cites work: A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \)
cites work: Doubly diagonally dominant matrices
cites work: Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices
cites work: Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds
cites work: Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices
cites work: A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices
cites work: The Schur complement of strictly doubly diagonally dominant matrices and its application
description: scientific article; zbMATH DE number 6247647