讨论除环上无限方阵的秩及分解问题。证明了除环上秩有限的二无限方阵同逆等价的充要条件是它们的秩相等。
Rank and decomposition of infinite matrix over a division ring are discussed. Two rank-finite matrices are same-inverse equivalent if and only if their rank equal is proved.
用矩阵的奇异值分解和广义逆讨论标准线性规划问题解的存在性和唯一性问题。
Apply singular value decomposition and generalize inverse of the matrix to discuss the existence and uniqueness of the solution of the standard linear programming problem.
为提高一般6r机器人逆运动学算法的精度和效率，提出一种基于符号运算和矩阵分解的优化算法。
In order to improve the accuracy and efficiency of the inverse kinematics algorithm for general 6r robots, an optimized algorithm was proposed based on symbolic processing and matrix decomposition.
利用矩阵的极分解，导出了逆特征值问题的最佳逼近解。
The optimal approximate solution of this inverse eigenvalue problem also was given by means of the polar decomposition of matrices.
本文主要研究有关矩阵的加权广义逆，加权极分解和矩阵偏序等方面的问题。
In this thesis, we mainly study problems on weighted generalized inverses, weighted polar decomposition, and partial orderings of matrices.
基于四阶累积量矩阵的子空间分解，提出了一种新的脑电逆问题算法。
In this paper, based on the fourth-order cumulant matrix, a new sub-space decomposition algorithm is proposed for the EEG inverse problem.
本文提出了一种新的求解操作器运动学逆问题的分解解法，它是对现有的代数解法和几何解法的综合。
This paper combines the algebraic method and geometric method and presents a new resolution meth-od of solving the inverse kinematic problems of manipulators.
由块三对角矩阵的LU分解，得到了其逆矩阵块元素的显式表达式。
With the LU decomposition of the block tridiagonal matrix, an explicit expression of the block inverse elements is obtained.
利用广义逆理论和奇异值分解理论，研究离散型线性随机系统的综合控制设计问题。
This paper discusses the synthetical control designing problem for discrete linear stochastic systems with generalized inverse theory and the singular value decomposition theory.
把矩阵分析中的L -D分解算法运用到该算法中以避免计算矩阵的逆，从而改善了算法的稳定性和精度。
The L-D factorization was also applied into Kalman filter to avoid computing the inverse of matrix, so its stability and precision is improved.
本文提出了一种新的求解机械手运动学逆问题的分解解法，它是对现有的代数解法和几何解法的综合。文中结合PUMA机械手对该解法作了具体阐述。
By combining the algebraic method and geometric method, a new resolution method for solving the inverse kinematic problems of manipulators is presented, with PUMA manipulator given as an example.
为实现矩阵快速求逆，文中采用了螺旋边界条件下谱因式分解的方法。
Fortunately, however, the matrix has striped shape with a helical boundary conditions.
二维逆Z变换远比一维情形复杂，表现在二维收敛域、二元因式分解、庞大的计算量等方面。
Because inverse Z transform in the case of 2 D is much more complicated than that in 1 D, which appears in 2 D convergent region or two variates factorization or teriable computations, etc.
二维逆Z变换远比一维情形复杂，表现在二维收敛域、二元因式分解、庞大的计算量等方面。
Because inverse Z transform in the case of 2 D is much more complicated than that in 1 D, which appears in 2 D convergent region or two variates factorization or teriable computations, etc.
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