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1)  Jacobi iterative matrix
Jacobi迭代矩阵
2)  iterative matrix
迭代矩阵
1.
In this paper,the estimates of upper bounds for the spectral radius of the iterative matrix M~(-1)N for some generalized diagonally dominant matrix M are presented.
对几类广义对角占优矩阵M,给出了迭代矩阵M~(-1)N谱半径的上界估计式,所得结果较已有结果适用于更加广泛的矩阵类。
2.
Firstly, to satisfy the convergence condition of iterative matrix, the algorithm applies diagonal loading technology to the covariance matrix and the diagonal loading value is given based on maximal gerschgorin radius of the covariance matrix.
为满足迭代矩阵的收敛条件, 算法根据协方差矩阵的最大Gerschgorin半径选择对角加载值对协方差矩阵进行对角加载;通过对协方差矩阵进行简单的矩阵分裂;进而给出自适应权向量的迭代解形式。
3.
An unified formulas of eigenvalues and eigenvectors of this kind of matrix are derived,and the eigenvalue of iterative matrix are given when this kind equation Au=f is solved by iterative method.
提出了求一类块三对角矩阵A的特征值和特征向量的方法,求得了该类矩阵的特征值和特征向量的表达式,并写出了用迭代法解该类方程组Au=f时迭代矩阵的特征值。
3)  matrix iteration
矩阵迭代
1.
This paper introduces a kind of dynamic system based on matrix iteration and the definition of illumination, and describes a visualization algorithm for three-degree matrix iteration based on illumination mode.
给出一种基于光照模型的、针对三阶矩阵迭代的可视化算法,并利用该算法绘制了三阶矩阵单步、多步迭代序列的图形。
2.
It includes two advantages: the high speed of the average power analysis and the simpleness of matrix iteration.
以后向泵浦的宽带光纤拉曼放大器为模型 ,基于平均功率的思想 ,运用矩阵迭代法模拟信号光和泵浦光在光纤中的传输特性 ,数值计算出拉曼增益曲线 。
3.
In this paper, the matrix iteration method and subspace iteration method are improved.
以前的灵敏度分析方法都是先计算特征对然后再计算它们的导数,本文对特征对计算的矩阵迭代法及子空间迭代法进行改造,在迭代计算特征对的同时计算特征向量的导数。
4)  Jacobi Iteration
Jacobi迭代法
1.
In this paper,the application of Jacobi Iteration and Gauss-Seidel Iteration in solution of linear(equations) was introduced,and their advantage and disadvantage were also compared.
对Jacobi迭代法与Gauss-Seidel迭代法在解线性方程组中的应用进行了介绍,并比较了两者的优缺点。
5)  Jacobi iteration method
Jacobi迭代法
1.
In this paper, we inquire into the fact that coef fi cient matrix is the convergence of iteration methods for solving the system of e quations with quasi-diagonally dominant matrix, and set the convergent condition s for Jacobi iteration method, G-S iteration method and SOR method for solving t he system of equations with quasi-diagonally dominant matrix.
讨论了系数矩阵为拟对角占优矩阵的方程组迭代解法的收敛性,给出了解拟对角占优矩阵方程组Jacobi迭代法,G-S迭代法和SOR方法的收敛条件。
6)  Jacobi iterative method
Jacobi迭代法
1.
Using Lagrange multiplier rule, the nonlinear optimization constraint problem, which generates the design checking points under constraint of response surface, is converted into the problem of solving linear equations, which can be implemented by Jacobi iterative method.
运用拉格朗日乘数法,将在响应面约束下求解设计验算点的非线性的约束最优化问题转化为解线性方程组问题,使用Jacobi迭代法求解线性方程组进行迭代。
补充资料:Jacobi矩阵


Jacobi矩阵
Jacob! matrix

Jae曲i矩阵【面c曲ima州x;只K06“MaTpH”a」 具有实元素的方阵J=!}a,、},对}i一k}>l,有ai,*二0.若记ai,二a,(i=l·“4”)ai:+l=b,和a‘、!,,=c(i=1,二,n一l),则Jacobi矩阵有形式 }}“b .0…00日 ·{}e,a。b,…0 01} }!oe。a,一00}} }}0 00…e。_:a。】{Jacobi矩阵J的任何子式(~r)都是J的某些主子式与J的某些元素的积.J白eobi矩阵J是完全非负的(即它的所有子式是非负的).当且仅当它的所有主子式和所有元素b,和c,(i二1.一n一l)都是非负的.若bc,>0,i=1,…,n一1,则J的特征多项式(ch出飞』cteristic polyno~1)的根是实的且相异的.
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