四元数体上行列式上界估计的一般方法

A GENERAL METHOD FOR THE UPPER BOUND ON THE DETERMINANT OF A POSITIVE CONJUGATE MATRIX OVER THE REAL QUATERNION DIVISION RING

本文提供一个正定自共轭四元数阵按谢邦杰意义下的行列式上界估计的一般方法,并导出可中心化四元数阵行列式以及复阵行列式的各种上界估计。

This paper provides a general method for the upper bound on the Xis deter-minant of a positivedefinite conjugate quaternion matrix, and deduces a number ofupper bounds on Xis determinant of the centralizable quaternion matrices as wellas several upper bounds on the complex determinants