【摘要】 矩阵迹的几何算术平均不等式的再推广欧阳光（郴州师专）Ｂｅｌｌｍａｎ于１９８０年在第二次国际不等式会上提出了关于正定矩阵的迹的一些不等式．就其中矩阵迹的几何算术平均不等式（２），文［２］将它推广到实对称矩阵上，文［３］对于两两可交换的非负定矩阵，证明了...更多还原

【Abstract】 Based on the arithmetic mean-geometric meen inequality for a nonnegative definite matrix trace, a newer inequality (5) for m(m > 2) nonnegative definite matrices which commute each other is proved. Thereby, some new inequaities(15), which are more physical than inequality(4), are obtained. In this way, some order matrix traces are found between two matrix traces in both sides of inequality(4), and the arithmetic mean-geometric mean inequality for the matrix trace is expanded again.更多还原