Author:
Liu Panpan,Sang Haifeng,Li Min,Huang Guorui,Niu He
Abstract
<abstract><p>In this paper, according to the theory of two classes of $ \alpha $-diagonally dominant matrices, the row index set of the matrix is divided properly, and then some positive diagonal matrices are constructed. Furthermore, some new criteria for nonsingular $ H $-matrix are obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed criteria.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference18 articles.
1. R. Bru, C. Corral, I. Giménez, J. Mas, Classes of general $H$-matrices, Linear Algebra Appl., 429 (2008), 2358–2366. https://doi.org/10.1016/j.laa.2007.10.030
2. M. Alanelli, A. Hadjidimos, On iterative criteria for $H$- and non-$H$-matrices, Appl. Math. Comput., 188 (2007), 19–30. https://doi.org/10.1016/j.amc.2006.09.089
3. A. Berman, R. Plemmons, Nonnegative matrices in the mathematical sciences, Philadelphia: SIAM Press, 1994. https://doi.org/10.1137/1.9781611971262
4. J. Zhao, Q. Liu, C. Li, Y. Li, Dashnic-Zusmanovich type matrices: a new subclass of nonsingular $H$-matrices, Linear Algebra Appl., 552 (2018), 277–287. https://doi.org/10.1016/j.laa.2018.04.028
5. M. Li, Y. Sun, Practical criteria for $H$-matrices, Appl. Math. Comput., 211 (2009), 427–433. https://doi.org/10.1016/j.amc.2009.01.083
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献