摘要
对干泰彬(计算数学,2004,(1)109116)给出的非奇异H矩阵的实用充分条件进行了改进,使得判定范围明显扩大,并且这个充分条件只与给定矩阵的本身元素有关,避免了胡家赣(线性方程组的迭代解法,1991.6365)中判别H矩阵要计算Jacobi迭代矩阵的特征值的过程,大大简化了计算的复杂性,并给出了一个例子说明这种方法在实际中是十分方便和有用的。
The ractical sufficient conditions for nonsingular H-matrices in Mathematics Calcucation （2004,（1）：109-116） are improved, which enlarges the domain of theorems in application.The sufficient conditions in this paper is only related to the elements of given matrices, avoiding computing eigenvalues of Jacobi iterative matrix for H-matrices in Interative of the Linear Equations was written by HU Jia-gan in Chinesis（Beijing： Sci. Press, 1991.63-65）. This simplifies the complexity of computing. Then a numerical example shows the new medthod in this paper is convenient and useful.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2005年第3期161-164,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
国家自然科学基金资助项目(10071048)
关键词
矩阵
非奇异H矩阵
对角占优
拟严格对角占优
matrix
nonsingular H-matrix
diagonal dominance
generalized strictly diagonal dominace
