摘要
本文证明了一些有关半正定矩阵的迹不等式,对Richard Bellman在[1]中提出的问题给了一个肯定的回答,并给出了一些猜想。由于解决的方法是初等的而更具有普遍意义。主要结果是:
In this paper, we prove some trace inequalities for nonnegativc definite matrices and give some conjectures. The main results are: (n be nonnegative integer)( Here, A, B are only required to be real and symmetric ) The results above give an affirmative answer to the open questions which were suggested by Richard Bellman in[1].
关键词
半正定矩阵
迹不等式
非负矩阵
Matrix, Trace inequalities, Nonnegatiye definite matrices.
