正定矩阵的凸性不等式的推广

The generalized convex inequality of the positive definite matrices

本文首先将凸性不等式推广到四元数体上，得到了广义凸性不等式，进而又将凸性不等式推广到复数域上一类矩阵中去，其结论推广了正定矩阵的凸性不等式。

By extending the convex inequality to qtiaternion field,the extended convex in-equality is obtained;and further extending the convex inequality to type one matrices of the cornplex numerfields,the generalized convex inequality of the positive definite matrices is obtained。