1)  three-step circular matrix
					 
	
					
				
				 
	
					
				三步循环矩阵
				1.
					On the basis of the properties of two-step circular matrix, this paper discussed the types and properties of three-step circular matrix and k-step circular matrix.
						
						在二步循环矩阵性质的基础上,研究了三步循环矩阵和k步循环矩阵的类型和性质。
					
					2)  two-step circulant matrix
					 
	
					
				
				 
	
					
				二步循环矩阵
				1.
					On the basis of the theories of circulant matrix,the concepts of two-step circulant matrix and two-step foundation circulant matrix are proposed.
						
						在循环矩阵的基础之上,提出了二步循环矩阵的概念和二步基础循环矩阵,对二步循环矩阵的性质进行了初步的探讨,得出了二步循环矩阵的五个性质,应用研究二步循环矩阵的方法,可进一步对k步循环矩阵进行研究和探讨。
					
					3)  k-step circular matrix
					 
	
					
				
				 
	
					
				k步循环矩阵
				1.
					On the basis of the properties of two-step circular matrix, this paper discussed the types and properties of three-step circular matrix and k-step circular matrix.
						
						在二步循环矩阵性质的基础上,研究了三步循环矩阵和k步循环矩阵的类型和性质。
					
					4)  circulant matrices
					 
	
					
				
				 
	
					
				循环矩阵
				1.
					Eigenvalues of a kind of circulant matrices and its application on subdivision;
					 
					
						
						 
					
						一类循环矩阵的特征值及其在细分方法中的应用
					2.
					VLSI decoding design of low-density parity-check codes based on circulant matrices
					 
					
						
						 
					
						基于循环矩阵的低密度校验码的VLSI译码设计
					3.
					Making use of some relations between discrete Fourier transformation and convolution, I give a sufficiency and necessary condition which estimates that a matrix is a circulant matrix, and give concretely an accounting formula of m-orders circulant matrices.
						
						利用离散Fourier变换与卷积的关系,给出了判断一个矩阵为循环矩阵的充要条件,并具体给出了一种求循环矩阵的m次幂通项的计算公式。
					
					5)  circulant matrix
					 
	
					
				
				 
	
					
				循环矩阵
				1.
					An algorithm for computing the inverse of two kind circulant matrix;
					 
					
						
						 
					
						两类循环矩阵求逆的一种算法
					2.
					On the properties and generalized inverse of (-1)-circulant matrix
					 
					
						
						 
					
						(-1)-循环矩阵的性质及广义逆
					3.
					Based on the special charicteristics of circulant matrix, a new formula of inversion for a type of specific matrix is proved in this paper.
						
						 求逆矩阵通常的方法是初等变换法或伴随矩阵法,计算量大且容易出错,本文利用循环矩阵的特殊性质给出了一类特殊循环矩阵求逆的计算公式,简化了一类特殊循环矩阵求逆的计算。
					
					6)  circular matrix
					 
	
					
				
				 
	
					
				循环矩阵
				1.
					Four theorems are presented and proved for eigenvalues and eigenvectors of circular matrix including symmetrical circular matrix, which forms the uniform mathematical principle of phase-sequence transformation for 3-phase and high phase order AC power networks.
						
						给出了循环矩阵和对称循环矩阵的特征值和特征向量的4个基本定理:构成了含三相在内的多相交流电网相序变换的统一数学原理。
					2.
					Circular matrix may be diagonalized while diagonalized matrix is equal to similar circular matrix.
						
						循环矩阵可对角化,矩阵可对角化等价相似循环矩
					3.
					The generalization of a theorem for circular matrix is given by using generalized Vandermonde matrix,and several properties of generalized circular matrix are obtained.
						
						利用范德蒙矩阵对循环矩阵的一个定理给出了推广,并得到了广义循环矩阵的几个性质。
					补充资料:循环系统的进化鱼的循环系统
		李瑞端绘
[图]

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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