quaternion field

In this paper, we apply the results of the centralizer of matrix over complex number field to Real Quaternion field.

将数域上矩阵的中心化子理论推广到实四元数体矩阵上。

Characteristic Determinative Method of Lyapunov Matrix Equation Solution on Quaternion Field

四元数体上李雅普诺夫矩阵方程解的特征确定法

Properties of double determinant over quaternion field

四元数体上重行列式的性质

A Simple Proof of Jordan Canonical Form of Matrices Over Quaternion Field

四元数矩阵Jordan标准的简单证明和算法

In this paper, the Rayleigh Ritz ′ s theorem is generalized from complex field to quaternion field, and some estimations of the inequality on the sum of eigenvalues of self conjugate quaternion matrices are obtained.

文章将复数域上的Rayleigh-Ritz定理推广到四元数体上，并给出了自共轭四元数矩阵的特征值和不等式估计。