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This thesis mainly study for judging the problem of a matrix is a generalized strictly diagonally dominant matrix by using gradually declines rank method.

本论文主要研究的是逐次降阶法判定广义严格对角占优矩阵的问题。

In this paper we present an estimate for bounds of module of eigenvalues of the iteration matrix M^(-1)N for a kind of Baily-Crabtree diagonally dominant matrix M.

该文对一类Baily-Crabtree型对角占优矩阵M,给出了迭代矩阵M^(-1)N的特征值模的上下界估计。

Particularly, for some generalized diagonally dominant matrix M, upper bounds of the spectral radius of the iterative matrix M~(-1)Nare presented.

对矩阵M-为几类广义对角占优矩阵的情形,给出了迭代矩阵M~(-1)N谱半径的上界估计式。

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。

Many scholars abroad and home have obtained lots of criteria for identifying generalized strictly diagonally dominant matrix by using iterative arithmetic and techniques in matrix theory and inequalities, and studied its properties and applications.

国内外许多学者运用矩阵理论上的一些方法、不等式放缩技巧及迭代算法,获得了广义严格对角占优矩阵的许多判定方法,并对其性质、应用进行了研究。

In chapter four, by defining and studying a type of local doublediagonally dominant matrix, we give some new criteria foridentifying generalized strictly diagonally dominant matrix, andextend some existing results.

第四章定义了一种局部双对角占优矩阵,给出了广义严格对角占优矩阵的几个新判别法,推广了已有的一些结果。

The thesis considers the methods for judginggeneralized diagonally dominant matrix 、M-matrix which canbe viewed as an extension and improvement of thecorresponding result recently.

本文主要研究了广义对角占优矩阵和 M-矩阵的判定条件和数值判定方法,改进和推广了近期的一些研究结果。

Quasi diagonally dominant matrix with chain of non-zero elements ; Comparison matrix ; Principal minor

本文主要讨论了拟具非零元素链对角占优矩阵的几个性质,丰富了拟具非零元素链对角占优矩阵的理论。

Examples illustrate that some special properties of the diagonally dominant matrix with chain of non-zero elements probably doesn't come into existence for quasi diagonally dominant matrix with chain of non-zero elements.

譬如目前关于拟对角占优矩阵的判定定理就有数十条之多[6-7],至今仍有许多相关结论发表,其中杨志明[1]给出了拟具非零元素链对角占优矩阵的定义,并就这类矩阵的特征值的分布情况进行了讨论。

To obtain state matrix A of linear differential algebra equation, the equation set of the model, then the eigenvalue of state matrix A and its effection on sensitivity of excition system are calculated by QR method.

对模型方程组进行线性化,得到线性微分-代数方程的状态矩阵A;使用QR法,计算状态矩阵A的特征值及特征值对发电机励磁系统参数灵敏度。

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呼气,收缩臀部肌肉;拱起身体,尽量抬起头来,右腿伸直朝向天花板(膝微屈,以避免肌肉紧张)。

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