The Characleristics Distribute in generalied Diagonal Dominance Conjugate Ceneralizea Dingoal Dominance Matrix

Generalized diagonal dominance matrix A is proved in thispaper, when the elements of diagonal are all real numbers, the number ofpositive and negative for the matrix A's real part of the characteristicsare equal to that of diagonal elements A_(jj)(j=1, 2, …, n). This make resultof Ref [4] become aispeeial case of this paper. Furthermore acorrespondingconclusion is gainned, that is quasigeneralized diagonal dominance matrixand con juate generalized diagonal dominance matrix. Meanwhile we discussthe diagonal clements which are complex number and pure imaginery number some conclusion gainned from this paper play an important part inthe theory of stoility of differentiate equation.