目的:寻求判别非奇异H阵的一个新的实用充分条件。方法:对矩阵元素的比较。结果:对文献[1,4]([1]干泰彬,黄延祝,非奇异H矩阵的实用充分条件,计算数学,2004,26(1):109-116;[4]杨亚强,畅大为,李爱娟.一个非奇异H矩阵实用充分条件的改进,宝鸡文理学院学报:自然科学版,2005,25(3):161-164.)给出的非奇异H矩阵的实用充分条件进行改进,使得定理的适用范围明显扩大。结论:对一些文献[1,4]不能判定的矩阵,该定理可以判定。
Aim To find a new practice sufficient condition for nonsingular H-matrix. Methods By comparing the elements of a matrix. Results Improved practice nonsingular H-matrix sufficient condition that references [1] (GAN Tai-bin, HUANG Ting-zhu. Practical sufficient conditions for nonsingular H-matrices. Math. Numer. Sin. , 2004, 26(1) : 109-116. )and [4] (YANG Ya-qiang, CHANG Da-wei, LI Ai-juan. An improvement about a practcal sufficient conditions for nonsingular H-matrices. J. Baoji Univ. Arts Sci. Math. Colloq. Chin. Univ., 2005, (3), 1-4. )provides, made the theorem applicability expand obviously. Conclusion The theorem can judge a few matrixes while references [1] and [4] can not.