Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems

DOI10.1016/j.laa.2011.05.023zbMath1231.15017OpenAlexW1970896087MaRDI QIDQ716418

Jianzhou Liu, Ze-Jun Huang, L. Zhu, Zhuo-Hong Huang

Publication date: 22 September 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.05.023

zbMATH Keywords

Schur complementGeršgorin's theoremI-(II-)block comparison matrixI-(II-)block strictly diagonally dominant matrixI-(II-)block strictly doubly diagonally dominant matrix

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Iterative numerical methods for linear systems (65F10)

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