Using the theory of matrices proves some theorems of linear cellular automata over a finite communitive ring . and futher properties of evolution of some typical linear cellular automata are given 摘要在线性元胞自动机矩阵表示的基础上证明有限交换环上的线性元胞自动机的一组定理,并借此分析某些典型线性元胞自动机的演化性质。
With the spectral theory of matrices , three sufficient algebraic criteria have been developed for the above multiple - delay linear difference systems . the key of the criteria is to verify that the sum of the spectrum or norm of system matrices is less than 1 借助矩阵的谱理论,获得了上述多时滞线性差分系统的充分代数准则,其核心是判定系统矩阵的谱或范数之和小于1 。
The algorithm is proved to be faster than the dichotomy which is based on the distribution theory of matrices eigenvalues by theoretical analysis and numerical results . it is reasonable on theory and effective on computational practice 理论分析和数值结果表明,本文提出的算法比基于矩阵特征值分布理论的二分法收敛速度快,是理论上合理、计算上行之有效的普遍适用的算法。
Secondly , a method for updating fe analytical model using the data from experimental test and parametric identification as reference is put forward , based on the optimum approach theory of matrix under the spectral constraint this method also pays respect to the affect from the experiment errors by using baysian estimation principle 该方法以实验获得的不完备模态的谱点为约束,运用bayes估计原理来处理试验结果误差带来的实验模态可信度问题,求取分析模型的最佳逼近结果,然后获得质量阵的最小修正模型,继而获得结构的修正模型。
Secondly , the method for finding initial circular of symmetric matrices is presented on the based of the dichotomy . the method for finding initial circular of nonsymmetric matrices is obtained by utilizing the distribution theory of matrices eigenvalue , which satisfies the initial condition of circular iteration 其次,根据二分法的思想,提出了一种确定对称矩阵满足圆盘迭代初始条件的初始圆盘的方法;利用矩阵特征值分布理论,提出了一种确定非对称矩阵满足圆盘迭代初始条件的初始圆盘的方法。