Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering

Criteria for nonsingular H-matrices

Authors
Qi Chen, Min Li
Corresponding Author
Qi Chen
Available Online March 2013.
DOI
https://doi.org/10.2991/iccsee.2013.149How to use a DOI?
Keywords
H-matrices, diagonally dominant matrices, strictly diagonally dominant matrix.
Abstract
Nonsingular H- matrices play a very important role in matrix analysis and numerical algebra. Based on the concept and properties of the generalized strictly diagonal dominance matrices, we partition the row and column index set of square matrix, construct a positive diagonal matrix according to the elements and row sum, column sum of the matrix as well, then obtain several new criteria for the nonsingular H- matrices, and extend the criteria of nonsingular H- matrices. Finally, advantages are illustrated by a numerical example.
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Proceedings
Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2013
ISBN
978-90-78677-61-1
DOI
https://doi.org/10.2991/iccsee.2013.149How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Qi Chen
AU  - Min Li
PY  - 2013/03
DA  - 2013/03
TI  - Criteria for nonsingular H-matrices
BT  - Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering
PB  - Atlantis Press
UR  - https://doi.org/10.2991/iccsee.2013.149
DO  - https://doi.org/10.2991/iccsee.2013.149
ID  - Chen2013/03
ER  -