Dashnic-Zusmanovich type matrices: A new subclass of nonsingular H-matrices
Dashnic-Zusmanovich type matrices: A new subclass of nonsingular H-matrices
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Dashnic-Zusmanovich 型矩阵：非奇异 H 矩阵的新子类
DOI：
10.1016/j.laa.2018.04.028
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发表时间：
2018
影响因子：
1.1
通讯作者：
Yaotang Li
中科院分区：
文献类型：
--
作者：
Jianxing Zhao;Qilong Liu;Chaoqian Li;Yaotang Li
引入了一类新的矩阵，称为DZ型矩阵，它与DZ型矩阵相似但又不同，并证明了它是非奇异H-矩阵的一个子类.讨论了严格对角占优矩阵、双严格对角占优矩阵、DZ矩阵和DZ型矩阵之间的关系。最后，利用DZ型矩阵的非奇异性，给出了一个新的矩阵特征值局部化集。
A new class of matrices, called Dashnic–Zusmanovich type (DZ-type) matrices, which is similar to, but different from Dashnic–Zusmanovich (DZ) matrices, is introduced and proved to be a subclass of nonsingularH-matrices. The relations between strictly diagonally dominant matrices, doubly strictly diagonally dominant matrices,DZmatrices andDZ-type matrices are discussed. Finally, by the non-singularity ofDZ-type matrices, a new eigenvalue localization set for matrices is given.