广义逆矩阵对于奇异矩阵甚至长方矩阵都存在、具有通常逆矩阵的一些性质、当矩阵非奇异时,它还原到通常的逆矩阵,满足其3条性质的矩阵叫做广义逆矩阵。
广义逆矩阵理论及计算 Generalized Inverse Theory and Computation
弱广义逆矩阵 weak generalized inverse matrix
加权广义逆矩阵 Weighted generalized inverse matrix
Solving the generalized inverse matrix remains an unanswered question in different measurement control steps of large phased array antennas composed of many elements. But for some special matrix form, we can use rapid algorithm to obtain its inverse matrix.
对单元数很多的大型相控阵天线不同测量控制步骤时的广义逆矩阵的求解仍然是一个未解的问题,但对一些特殊的矩阵形式,可以应用快速算法求解其逆矩阵。
参考来源 - 相控阵天线快速测量与校准技术研究As a significant theory to analyze the deployment analysis, the Moore-Penrose generalized inverse matrix theory’s definition, solving method, character and application were introduced detailedly.
对于在展开分析中具有重要应用的Moore-Penrose广义逆矩阵理论,详细介绍了其定义、求解方法、性质和应用。
参考来源 - 空间可展结构展开过程动力学理论分析、仿真及试验·2,447,543篇论文数据,部分数据来源于NoteExpress
本文叙述了加权广义逆矩阵的概念。
The concept of weighted generalized inverse matrices is described in this paper.
引入了广义逆矩阵,提出了一个新的算法。
The generalized inverse technique of matrix is introduced, and a new algorithm is developed.
利用广义逆矩阵的特性,改进了线性约束梯度投影法的理论。
In this paper, the theory of gradient projection methods for linearly constrained optimization formerly fomulated by the author is further improved.
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