广义严格对角占优矩阵的简捷判据  

Simple Criteria for Strictly Generalized Diagonally Dominant Matrices

作　　者：刘长太[1,2] LIU Chang-tai(Department of Basic,Yangzhou Polytechnic Institute,Yangzhou 225127,China;College of Science,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]扬州工业职业技术学院基础部 [2]贵州民族大学理学院

出　　处：《数学的实践与认识》2018年第22期214-218,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361074);贵州省科学基金([2015]2073);贵州省科技厅联合基金([2015]7206)

摘　　要：从矩阵元素出发，得到了一组广义严格对角占优矩阵的简捷判据，判据推广并改进了相应的结论。最后用数值算例验证了判据的优越性。In this paper, several simple sufficient conditions for strictly generalized diagonally dominant matrices are given. These conditions generalize and improve some relative conclusions. Advantages of these results are illustrated by a numerical example.

关 键 词：收敛 广义严格对角占优矩阵 不可约 非零元素链 

分 类 号：O151.21[理学—数学]