四元数体上的Marshall-Olkin不等式及改进

The Marshall-Olkin's Inequality over the Quaternion Field and Its Improvement

中文关键词:  四元数自共轭半正定矩阵  特征值  不等式

英文关键词:self-conjugate semi-positive definite quaternion matrix,pigenvalue,inequality.

中文摘要:

      本文证明了四元数自共轭半正定矩阵乘积的一些不等式.这些结果推广、改进了复数域上的Marshall-Olkin不等式.

英文摘要:

      Some inequalities involving product of self-conjugate semi-positive definite quaternion matrices are proved. These results generalize and improve the Marshall-Olkin's inequality over complex field.