一组关于非奇异H-矩阵的细分迭代判别新条件
A Set of New Criteria for the Iterative Discrimination of Subdivision of Nonsingular H-Matrices
摘要:
本文根据非奇异H-矩阵与α-对角占优矩阵之间的关系，通过细分矩阵的下标区间，以及构造出新的迭代系数，得出了一组关于非奇异H-矩阵的细分迭代判别新条件，该条件改进了近期的某些结果，最后给出的几个数值算例说明了其有效性。
Abstract:
In this paper, we produced a set of new conditions for subdivided and iterative criteria of nonsingular H-matrices by the method of subdivided region and selected iterative coefficient, based on the nonsingular H-matrix and α-diagonally dominant matrix the relationship between diagonally dominant matrices. These conditions improved some recent results. Finally, several numerical examples were given to illustrate their validity.
参考文献
|
[1]
|
范迎松, 陆全, 徐仲, 高慧敏. 非奇异H-矩阵的一组判定条件[J]. 高校应用数学学报A辑, 2011, 26(4): 474-480.
|
|
[2]
|
尹军茹, 徐仲, 陆全. 非奇H-矩阵的细分迭代判别准则[J]. 工程数学学报, 2013, 30(3): 433-441.
|
|
[3]
|
山瑞平, 陆全, 徐仲, 张骁. 非奇H-矩阵的一组细分迭代判定条件[J]. 应用数学学报, 2014, 37(6): 1130-1139.
|
|
[4]
|
庹清, 陈茜. 关于“一类非奇异H-矩阵判定的新条件”一文的注记[J]. 计算数学, 2019, 41(2): 219-224.
|
|
[5]
|
刘长太. 非奇异H矩阵迭代式充分条件[J]. 计算数学, 2017, 39(3): 328-336.
|
|
[6]
|
Gan, T.-B. and Huang, T.-Z. (2003) Simple Criteria for Nonsingular H-Matrices. Linear Algebra and Its Applications, 374, 317-326.
[Google Scholar] [CrossRef]
|
|
[7]
|
Berman, A. and Plemmons, R.J. (1979) Nonnegative Matrix in the Mathematical Sciences. Academic Press, New York.
[Google Scholar] [CrossRef]
|
|
[8]
|
谢清明. 判定广义对角占优矩阵的几个充分条件[J]. 工程数学学报, 2006(4): 757-760.
|
|
[9]
|
孙玉祥. 广义对角占优矩阵的充分条件[J]. 高等学校计算数学学报, 1997(3): 216-223.
|