实方阵存在Volterra乘子的判定方法  

Criterion of the positive definiteness matrix and M-matrix

作　　者：汤淑英[1] 郭希娟[2] 张健[2] 

机构地区：[1]河北秦皇岛职业技术学院,河北秦皇岛066004 [2]燕山大学,河北秦皇岛066004

出　　处：《贵州师范大学学报（自然科学版）》2002年第2期16-17,共2页Journal of Guizhou Normal University：Natural Sciences

摘　　要：给出了利用实方阵A的某些低阶子块来判定其是否存在Volterra乘子的新方法 ,与已有的判定方法相比 ,这种方法更简单 ,方便 。The positive definiteness(semi-definiteness)matrix,the generalized positive definiteness(semi-definiteness)matrix,the generalized positive the generalized diagonalliy dominant matrix and M-matrix are widely used in the fields like automatic control theory,neural network computing, robot,etc,It is of great importance to make a criterion of them.Based on the existing criteria,more practical theoermes are given in this article.

关 键 词：实部正定矩阵 对角占优 实方阵 VOLTERRA乘子 判定方法 

分 类 号：O151.21[理学—数学]