Criteria for nonsingular H-matrices
Qi Chen, Min Li
Available Online March 2013.
- https://doi.org/10.2991/iccsee.2013.149How to use a DOI?
- H-matrices, diagonally dominant matrices, strictly diagonally dominant matrix.
- 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.
- 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 (ICCSEE 2013) PB - Atlantis Press SP - 582 EP - 585 SN - 1951-6851 UR - https://doi.org/10.2991/iccsee.2013.149 DO - https://doi.org/10.2991/iccsee.2013.149 ID - Chen2013/03 ER -