2002•Journal of Guizhou Normal UniversityRequires access
Criterion of the positive definiteness matrix and M-matrix
Shu Tang
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Abstract
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.