The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices

DOI10.1515/math-2015-0072zbMath1350.15006OpenAlexW2511492309MaRDI QIDQ317746

De-shu Sun, Feng Wang

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0072

zbMATH Keywords

numerical exampleeigenvalueSchur complementdiagonally dominant degreeeigenvalue inclusion regionsI(II)-block strictly diagonally dominant matrixI(II)-block strictly doubly diagonally dominant matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems
• Invariance of the Brauer diagonal dominance in Gaussian elimination
• The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation
• A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \)
• The dominant degree and disc theorem for the Schur complement of matrix
• On diagonal-Schur complements of block diagonally dominant matrices
• A new subclass of \(H\)-matrices
• Gershgorin's theorem for matrices of operators
• Doubly diagonally dominant matrices
• The Schur complement and its applications
• The Schur complements of generalized doubly diagonally dominant matrices
• On Schur complement of block diagonally dominant matrices
• Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices
• Matrix Analysis
• Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds

This page was built for publication: The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices