Index of convergence for a class of imprimitive nearly reducible boolean matrix 一类非本原几乎可约矩阵的幂敛指数
The Primitive Exponent for a Class of Primitive Nearly Reducible Matrix 一类几乎可约矩阵的本原指数
This paper discuss the blocking of matrix on reducibility or rank, and given the matrix blocking solution of system of linear differential equations for reducible or strange matrix, and make physical explanation. 本文讨论矩阵按可约性或秩的分块问题,对可约阵或奇异阵分别给出了线性微分方程组的矩阵分块解法,还作了物理解释。
The asso-ciated digraph of a primitive nearly reducible matrix is a primitive minimally strong digraph. 研究本原几乎可约矩阵的k-指数等价于研究本原极小强连通有向图的k-指数。
In this paper we investigate the matrix perturbation analysis of eigenvalue perturbation theory. Applying previous results, some new perturbation bounds are presented for block upper triangular matrix and reducible matrix. 本文主要研究矩阵扰动分析问题中的特征值扰动理论,通过利用已有的一些结果,来得到矩阵子块的扰动界,进而得到关于分块上三角矩阵和可约矩阵的新的扰动界。
Based on the absolute stability theory, some sufficient conditions are established to guarantee the global synchronization of complex networks with irreducible coupling matrix and reducible coupling matrix. 基于绝对稳定性理论,分别得到了网络的耦合矩阵不可约及可约时的同步判据。