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A new digital watermarking algorithm based on diagonally dominant matrix is proposed.

提出了一种基于对角占优矩阵的数字水印算法。

There are many methods to judge a matrix be a generalized strictly diagonally dominant matrix.

广义严格对角占优矩阵有很多判定方法。

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 obtain some new determination conditions from three aspects according to some exists theory and the property of αdiagonally dominant matrix, improve the determination conditions and give some numerical example to show our theory is effective.

本文根据α-对角占优矩阵的性质,从三个方面获得了一些新的判定条件,改进了某些已有判定条件的范围,并用数值例子进行了比较。

Then, under a certain condition, the estimate for bounds of the module of eigenvalues of M^(-1)N is presented when M is a α- strictly diagonally dominant matrix.

并以此为基础,在一定条件下给出了当M是α-严格对角占优矩阵时的M^(-1)N的特征值模的上下界估计。

Then, under a certain condition, the estimate for bounds of the module of eigenvalues of is presented when is a NM1MNM1Mαstrictly diagonally dominant matrix.

并以此为基础,在一定条件下给出了当是MNM1Mα严格对角占优矩阵时的的特征值模的上下界估计。

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。

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。

Thirdly, several kinds of block diagonally dominant matrices definition and their connection are introduced.

接着,介绍了几类块对角占优矩阵的定义及它们之间的关系。

In this paper,from the view point of engineering realization,the problem of decentralized E-Stabilization of complex giant singular nonlinear systems is cousidered by employing the theory of variable structure contol, the property of diagonal dominant matrices and Lyapunov function.

应用变结构控制理论和对角占优矩阵的性质,结合Lyapunov函数方法,从工程实现的角度考虑并研究了一类复杂巨型广义非线性系统的分散E—镇定问题,在一定条件下。

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