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- The Self-Conjugate Solutions of Quaternion Matrix Equation 四元数体上矩阵方程的自共轭解
- The Least-Square Solutions to the Quaternion Matrix Equation Systems 四元数矩阵方程的最小二乘解
- 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
- system of quaternion matrix equations 四元数矩阵方程
- Quaternion matrix equation 四元数矩阵方程
- The least-squares solutions and the least norm solutions of the quaternion matrix equations AX = B and XD = E are studied by using 借助四元数的复表示方法，研究四元数矩阵方程组AX=B，XD=E的最小二乘问题和极小范数解的问题，并对主子阵约束下的方程组的解进行了讨论，得到了它们的显式表示。
- And by it, we turn linear matrix equation over quaternion field into linear equations over a number field, and obtain normal solutions of this kind of equation. 得到四元数乘积的一个弱可交换律，并利用它将四元数体上线性矩阵方程转化为数域上的线性方程组，给出此类方程的一般解法。
- 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.
- So we get two solution with different forms of the matrix equation AX-X(superscript T)B=C. 从而得到了矩阵方程AX-X(上标T)B=C两种不同形式的解。
- An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation. 摘要构造了一种迭代法求一类矩阵方程的最小二乘双对称解。
- By means of solving matrix equation group, predictive decoupling controller is realized. 通过求解二元一次矩阵方程组，实现了多步预测的解耦控制。
- The calculation method is based on node admittance matrix equation and takes LU factorization algorithm. 运行仿真基于节点导纳矩阵方程的迭代求解，采用了LU三角分解法。
- 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。
- Aim To study the solving methods of linear matrix equations. 摘要目的进一步研究线性矩阵方程的解法。
- Basically, neglecting azial deformations corresponds to the omission of rows 1 and 4 and columns 1 and 4 of the stiffness matrix equation (15.1) . 忽略不计轴向变形基本上可以说相当于删去方程（15-1）中刚度矩阵的第1行和第4行及第1列和第4列。
- Based on them, some properties of the coefficient matrix A are presented when the matrix equation has a positive definite solution. 根据这两个定理,当矩阵方程有对称正定解时,给出了系数矩阵。
- 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.
- Basically, neglecting axial deformations corresponds to the omission of rows 1 and 4 and columns 1 and 4 of the stiffness matrix equation(15. 1). 忽略不计轴向变形基本上可以说相当于删去方程(15-1)中刚度矩阵的第1行和第4行及第1列和第4列。
- In the value algorithm another classical algorithm gmres algorithm, uses for to solve the large-scale matrix equation question. 数值算法中另一个经典算法gmres算法,用来求解大型矩阵方程问题。
