1) inverse circular matrix
可逆循环矩阵
1.
It gives necessary and sufficient condition whether a circular matrix is inverse,and shows the expression of S(X)=AXe⊕b in GF(2n) has at least three terms if matrix A is chosen to be an inverse circular matrix in GF(2) which is not identity matrix.
对一类S盒S(X)=AXe⊕b中矩阵A的构造和设计问题进行研究,给出二元域GF(2)上循环矩阵A可逆的一个充要条件,证明了矩阵A只要选取为与单位阵不等的n×n可逆循环矩阵,就可使得S盒S(X)=AXe⊕b在有限域GF(2n)中的多项式表达式至少有3项系数不为0,从而在构造该类S盒时,将矩阵A选取为可逆循环矩阵是可行的。
2) circulant inverse M-matrix
循环逆M-矩阵
1.
According to M-matrix which possessed zero-pattern of fixed power, review some definitions and basic properties of digraphs,derive importance properties of circulant inverse M-matrix.
从逆M-矩阵A具有幂不变的零位模式、Ckn有向图的定义和基本性质出发,获得了循环逆M-矩阵的若干性质。
3) Inverse matrix of block circular matrix
分块循环矩阵的逆矩阵
4) invertible matrix
可逆矩阵
1.
The adjoint matrix of the inverse matrix for an invertible matrix over a nonnegative commutative semiring;
非负交换半环上可逆矩阵的伴随矩阵
2.
The method makes use of an elementary transformation of mastrix to find the solution of an invertible matrix.
给出了利用矩阵的初等行变换求可逆矩阵的伴随矩阵的一种简便方法。
3.
As an example of the application of some knowledge of Linear Algebra,this paper discusses the application of an invertible matrix in secure communication,some basic problems of this application,and the solutions to these problems.
作为工科“线性代数”课中相关知识的一个具体应用的例子,从理论与实践相结合的角度论述了可逆矩阵在保密通信中的应用及其存在的问题与对策等。
5) reversible matrix
可逆矩阵
1.
Necessary and sufficient condition for an integral matrix to be embeddable in a reversible matrix on the integral ring;
整数矩阵可嵌入整数环上的可逆矩阵的充要条件
2.
In order to make the evaluation of the determinant of n-order simpler,this article presents a practical method to calculate the determinant of n-th order through block matrix and reversible matrix.
为使n阶行列式的求值更加简便,给出了一种运用分块矩阵的乘法和可逆矩阵计算n阶行列式的实用方法。
3.
The relations among three sorts of primary transformation of the matrix are discussed;the reversible matrix can be written as the product of the two primary matrices,i.
讨论了矩阵的三种初等变换的关系,可逆矩阵可写成Di(k)、Tij(k)两种类型初等矩阵的乘积,以及初等变换在分块矩阵中的简单应用。
补充资料：可逆矩阵
又称非奇异矩阵， 亦即行列式不等于0的方阵。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。