On diagonal-Schur complements of block diagonally dominant matrices

DOI10.1016/J.AMC.2010.02.038zbMath1193.15036OpenAlexW2017914015MaRDI QIDQ972908

Yao-Tang Li, Shun-Ping Ouyang, Shu-Juan Cao, Rui-Wu Wang

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.038

zbMATH Keywords

numerical examplesH-matrixblock strictly diagonally dominant matrixdiagonal-Schur complement

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10)

Related Items (4)

The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices ⋮ The doubly diagonally dominant degree of the Schur complement of strictly doubly diagonally dominant matrices and its applications ⋮ Diagonal-Schur complements of Nekrasov matrices ⋮ On Schur complements of Cvetković-Kostić-Varga type matrices

Cites Work

• Some interlacing properties of the Schur complement of a Hermitian matrix
• The Schur complements of generalized doubly diagonally dominant matrices
• Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices.
• Some properties on Schur complements of H-matrices and diagonally dominant matrices
• On Schur complement of block diagonally dominant matrices
• Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices
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