一类非奇H-矩阵的实用判据  

The Practical Determination Criterion about a Kind of Nonsingular H matrix

作　　者：岳嵘[1] 

机构地区：[1]山东科技大学理学院,山东青岛266590

出　　处：《数学的实践与认识》2012年第19期185-190,共6页Mathematics in Practice and Theory

基　　金：山东科技大学教育教学研究项目(qx0803012)

摘　　要：非奇H-矩阵在数值分析和矩阵理论的研究中非常重要,但实际判定一个非奇异H-矩阵却非常困难.给出一类非奇异H-矩阵新的判定条件,改进了近期的相关结果,并用数值例子说明了结果判定范围的更广泛性.The nonsingular H matrix is important in the numerical analysis and matrix theory＇s research, but it is actually difficult to determine a nonsingular H matrix. The new determination condition is presented in this paper about a kind of Nonsingular H matrix. It improved current related result, and its determination scope is explained more widespread by the numerical example.

关 键 词：非奇H-矩阵 对角占优矩阵 不可约 非零元素链 

分 类 号：O151.21[理学—数学]