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- Through the research on the history and actuality of the quaternion and the quaternion matrix theory ,we have found that ,from 1843,when English mathematician W. 通过对四元数和四元数矩阵理论的历史与现状的考查;我们发现;从1843年英国数学家W.
- Zonal polynomials with quaternion matrix arguments are defined and their properties are discussed.The results are crucial in the further study of noncentral distribution of quaternion. 把实矩阵变元的带状多项式推广到四元数矩阵变元的情形,给出其相应的一些性质,这些性质在四元数多元统计分析中,已经成为推导非中心分布的必需的工具.
- Computer simulations made for the two solution methods prove that the solution speed of improved quaternion matrix arithmetic is faster than that of the coordinate transformation arithmetic. 结果证明,利用改进的四元数变换矩阵方法的求解速度比利用齐次坐标变换矩阵的方法快。
- On this paper it is, give the necessary and sufficient condition of sub-positive definite matrix for sum, product, direct product and circular product of the quaternion matrices. 摘要给出了四元数矩阵的和、乘积、直积与圈积为亚正定矩阵的充要条件。
- self-conjugate quaternion matrix 四元数自共轭矩阵
- self - conjugate quaternion matrix 自共轭四元数矩阵
- positive semidefinite (definite) quaternion matrix 半正定(正定)四元数阵
- In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given. 本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式.
- system of quaternion matrix equations 四元数矩阵方程
- In recent 30 years, many experts and scholars were carrying on an extensive research about quaternionic matrix and got plenteous theoretical results. 近30年来,许多专家学者对四元数矩阵进行了广泛的研究,取得了丰硕的理论成果。
- Complex representation and trace of quaternion matrix 四元数矩阵的复表示与四元数矩阵之迹
- Similar Transformation from Quaternion Matrix to Complex One 四元数矩阵到复矩阵的相似变换
- The Self-Conjugate Solutions of Quaternion Matrix Equation 四元数体上矩阵方程的自共轭解
- Builds a matrix from a quaternion. 使用一个四元数生成一个矩阵。
- Partial Orderings over Quaternion Matrices 四元数矩阵上的偏序关系
- A term sometimes applied to a stylus in a thermal matrix printer. 有时用来指热敏点阵打印机的触针的一个术语。
- UL DECOMPCSITION OF REAL QUATERNION MATRICES 四元数矩阵的UL分解
- The Least-Square Solutions to the Quaternion Matrix Equation Systems 四元数矩阵方程的最小二乘解
- In this paper, we put forward the decomposition of matrices over complex field and quaternions matrices to that of rings. 将复数域及四元数体上矩阵的积因子分解推广到了环上矩阵。
- The Hermitian Least-square Solution of the Quaternion Matrix Equation AX=B 四元数矩阵方程AX=B的Hermite最小二乘解