Chapter 7 studies the structural properties of circulant composite systems.
第七章研究循环组合系统的结构性质。
Using the characteristic of the circulant matrix, the computing procedure is simplified.
利用循环矩阵的性质，简化了数值求解过程。
In Chapter 6, the stabilization for symmetric circulant composite systems with input saturation is studied.
第六章讨论具有饱和输入的对称循环组合系统的镇定问题。
QC-LDPC codes constructed by circulant permutation matrices will lead to inevitable cycles, named balanced-cycles.
在用循环置换矩阵构造准循环LDPC码时会出现一类无法消除的环，称为平衡环。
The new method of making up Orthogonal Block Circulant Matrix systematically by Paraunitary Matrix is also presented.
分析正交块循环矩阵特性后，介绍了基于类单位矩阵的系统化构造正交块循环矩阵的方法。
It is proved in this paper that the transposition network and the multiplicative circulant networks are superconnected.
本文证明了对换网络和乘积循环网络是超连通的。
Circulant matrices have become one of the most important and active research fields of applied mathematics increasingly.
循环矩阵是一类很重要的特殊矩阵，日益成为应用数学领域中一个非常活跃和重要的研究方向。
The method of inverting the circulant matrix and the expression of inversion of the circulant matrix are obtained in this paper.
本文给出了循环矩阵的求逆方法，给出了循环矩阵的逆矩阵的表达式。
An application of quadratic B-spline subdivision with circulant subdivision matrix in computer aided geometric design is proposed.
并阐述了具有循环细分矩阵的二次B -样条曲线细分在计算机辅助几何设计中的应用。
In this paper, We obtain some properties of regular tournament matrices, and give the eigenvalue of regular circulant tournament matrices.
讨论了正则竞赛矩阵的性质，给出了正则循环竞赛矩阵特征值的一般求法。
A concept of symmetric diagonal A-factor block circulant matrices and some of their prop- crtics are given, the main theorems are extended.
给出了对称对角A-因子循环分块矩阵的概念，讨论了它的一些性质，推广了几个主要定理．。
The method used a parity-check matrix of a short LDPC code as its mother matrix upon which a long code was constructed with circulant permutation matrices.
该方法利用一个短的LDPC码的校验矩阵作为其母矩阵，在此基础上采用循环置换矩阵构造一个长的LDPC码。
This paper analyses half hybrid noise of the circulant pre-coding matrix, then proposes full hybrid noise pre-coding matrix and discusses its bit error rate.
本文首先对循环预编码矩阵带来的噪声半混合进行了分析，并进一步提出了噪声全混合的预编码矩阵，分析了其误码率。
A new algorithm of solving circulant block tridiagonal systems is proposed, which is based on the special factorization of circulant block tridiagonal matrix.
本文根据分块循环三对角矩阵的特殊分解，给出了求解分块循环三对角方程组的一种新算法。
The study of circulant matrices, an important component of the matrix theory, has become one of the most important and active research fields in applied mathematics.
循环矩阵是矩阵理论的一个重要组成部分，且日益成为应用数学领域中一个非常活跃和重要的研究方向。
Using the properties of circulant graphs and its connectivity, the theorems about constructing a network with optimal connectedness have been obtained in this paper.
本文利用连通循环图及其连通度的有关性质，得到了构造具有最佳连通性的循环网络的定理。
It is proved that the stiffness matrix of the finite element solution is a block diagonal matrix and its elements are some symmetric and block circulant submatrices.
证明了有限元求解的刚度矩阵是一个块对角阵，且其子矩阵是某种对称、块循环矩阵。
Circulant matrices, which are an important component of the matrix theory, have become one of the most important and active research fields of applied mathematics increasingly.
循环矩阵是矩阵理论的一个重要组成部分，且日益成为应用数学领域中一个非常活跃和重要的研究方向。
A class of nonlinear switched circulant systems is considered in the dissertation, and its stability region is designed under certain switched law or arbitrary switched law separately.
本文考虑了一类非线性循环切换系统，分别在确定切换律和任意切换律下，设计了系统的稳定域。
It is indicated by the research that making up driving matrix of MLA-LCD by Orthogonal Block Circulant matrix can make the design scale down from square of matrix dimension to matrix dimension.
研究表明：由正交块循环矩阵构造出的多路寻址驱动矩阵的实现复杂度由原来的与矩阵的阶数平方成正比下降为与矩阵的阶数成正比。
It is indicated by the research that making up driving matrix of MLA-LCD by Orthogonal Block Circulant matrix can make the design scale down from square of matrix dimension to matrix dimension.
研究表明：由正交块循环矩阵构造出的多路寻址驱动矩阵的实现复杂度由原来的与矩阵的阶数平方成正比下降为与矩阵的阶数成正比。
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