严格

The construction of the hamiltonian matrix, and the Lanczos exact diagonalization are also discussed.

并详细介绍了与该数值分析方法密切相关的Lanczos严格对角化方法，及构造巡游电子格点系统的Hamiltonian矩阵的技巧。

Generalized strictly diagonally dominant matrix plays an important role in matrix theory and real applications.

广义严格对角占优矩阵在矩阵理论和实际应用中具有重要的作用和意义。

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。

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。

Generalized strictly diagonally dominant matrix play an important role in numerical algebra 、control theory 、electric system、economic mathematics and elastic dynamics and so on.

广义严格对角占优矩阵具有很广的实际背景，这类特殊矩阵在数值代数、控制论、电力系统理论、经济数学及弹性力学等众多领域中有着重要的实用价值。

In chapter one, firstly, we introduce the properties of αdiagonally dominant matrix and some exists determination conditions of generalized strictly diagonally dominant matrix, then we give some new results for the criteria of generalized strictly diagonally dominant matrix, finally, we show the validity of these conclusions.

在第一章中，首先引述了α-对角占优矩阵的性质及已有的一些判定条件，给出了判定广义严格对角占优矩阵的几个新的结论，最后说明了这些结论的有效性。

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。

In chapter two, by using the elements of the matrix we first construct some multiplier factors, then, use the properties of αdiagonally dominant matrix and the techniques of inequalities, we give some new determination conditions for generalized strictly diagonally dominant matrix, these theory have improved some existing results.

在第二章中，利用矩阵某些元素，构造出了几个乘积因子，然后利用α-对角占优矩阵的一些性质，结合放缩不等式的技巧，给出了广义严格对角占优矩阵的几个新的判定条件，改善了已有的某些结果。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。