非奇异矩阵

Meantime we also get the explicit construction of pseudo-inverses of bordered matrix and obtain many new results.

本章所使用的主要工具是QQ-SVD，其中在研究加边矩阵{1，3}-和{1，4}-逆时，又使用了构造特殊非奇异矩阵的技巧，给出了加边矩阵{1，3}-和{1，4}-逆的显示结构，并进一步得到了加边矩阵伪逆的显示结构，获得了许多新的结果。

Bordered matrix has very wide applications in the matrix theory, many specialists and scholars had studied bordered matrices before.

本节在P-SVD中通过构造特殊的非奇异矩阵，详尽地揭示了两个矩阵乘积{1，3}-和{1，4}-逆的结构，从而最终解决了两个矩阵乘积{1，3}-和{1，4}-逆的反序律，并得到了两个矩阵乘积伪逆反序律的一个新的等价性条件。

The theory that the inverse of a nonsingular matrix is continuous function of the elements ...

Wilkinson建立了非奇异矩阵的逆是矩阵元素的连续函数的理论。G.W。

Based on this model, a new crypt structure called completely nonsingular matrix based substitution permutation network is designed.

基于这一模型，设计了一个称为基于全非奇异矩阵的代替置换网络的密码结构。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解，很多文献中利用传统的矩阵分解方法得到了其通解表达式，但是利用该表达式很难得到问题Ⅰ的解，这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

Can modify the input module of arbitrary non-singular matrix inversion.

可以修改输入模块实现对任意非奇异矩阵求逆。

In [26], these conditions were relaxed to allow any nonsingular matrix to be the basis for the lattice.

在[26]中，这些条件放松到允许任意非奇异矩阵做为网格的基。

The upper bound of the differential probability is developed for the completely nonsingular matrix based substitution permutation network....

给出了基于全非奇异矩阵的代替置换网络的差分概率上界。

Suppose the set of source states S is a cogredient normal form of all the n×n non-alternation matrices over F, the set of encoding rules E and decoding rules E are all of the n×n nonsingular matrices over F, and the set of messages M is all of the n×n singular non-alternation matrices over F. Construct the maps where K=.

令信源集S为F上所有的n×n非交错矩阵的合同标准型，编码规则集E和解码规则集E为F上所有的n×n非奇异矩阵，信息集为F上所有的n×n奇异的非交错矩阵，构造映射其中K=。

In this part, we mainly mention the history and some applications of generalized inverses, development and generality of singular value decomposition, list the main results and the innovation of this paper.

本文通过分别构造特殊的非奇异矩阵，得到了{1，3}-和{1，4}-逆的反序律，系统地解决了加边矩阵M=的广义逆问题，并给出了分块矩阵关于广义逆块独立的等价性条件。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。