矩阵的矩阵

He structure of Toeplitz matrix is special, Circulant matrix is one of a class of this special matrices since it's structure is more special.

oeplitz矩阵是一类结构特殊的矩阵，循环矩阵是其中结构更特殊的一类矩阵。

The nature of the sums, inverses,products, eigenvalus and the determinant of Circulant matrices is also very good.

循环矩阵的逆矩阵、乘积矩阵、和矩阵和行列式等的性质也很优良。

And the closure property of inverseM-matrices under Hadamard product are analyzed, the properties of generalizedPerron complement of inverse M-matrices, inequality of Fan product of H-matricesand Perron root estimation of nonnegative matrix are studied.

本文研究了逆M-矩阵的性质和完成，并且讨论了有关逆M-矩阵Hadamard 积的封闭性，不可约逆M-矩阵的广义Perron补，H-矩阵的Fan积不等式以及非负矩阵的Perron根的估计。

Chapter 1 mainly introduce some elementary concepts about matrix: consistently ordered matrix, matrix norm, nonnegative matrix and famous Perron-Frobenius theorem.

介绍了矩阵的一些基本概念：相容次序矩阵、矩阵范数、非负矩阵及著名的Perron-Frobenius定理等。

How to judge whether judgement matrix has weak consistency or not is proposed, and the theory and algorithm to find equivalent consistency matrix of weak consistency judgement matrix is designed.

从寻求灰色判断矩阵的所有一致性白化阵、灰元的最小灰域的角度出发，去给出灰色判断矩阵的弱一致性和一致性定义，证明了一致性灰阵中所含信息均为一致性信息，并给出了判定矩阵是否具有弱一致性和寻求弱一致性判断矩阵的等价一致性矩阵的定理和算法。

With proving the isomorph between the function matrix algebra systems and the Boolean algebra s disjunction-conjunction systems,a method of extending the function matrix is proposed,and the expanding theorem of the extended function matrix is proven.

提出了功能矩阵的概念，在证明功能矩阵的代数系统与布尔代数析取合取代数系统同构的基础上，对功能矩阵进行扩展，并证明了扩展功能矩阵的展开定理；利用扩展功能矩阵逐步展开与约简，实现了功能的求解算法。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

经典迭代法的收敛需要由系数矩阵的一些特定性质来保证；共轭梯度法具有超线性收敛性，但是系数矩阵必须是正定矩阵；Krvlov子空间法可用于非对称矩阵问题，但可能出现崩溃现象。

In this paper, we study a class of inverse M-matrices and inverse Z-matrices of tree structure, which have much value in application and theory and matrices associated with the original matrices, for exmple Schur complements, Perron complements, ect.

第二章主要研究一类树结构逆M、逆Z矩阵，图的理论和方法被应用于矩阵结构和性质的研究，图的理论和矩阵理论有着密切的关系，并且图理论用于矩阵的研究有着直观、简洁的特点，二者的研究具有互补的关系，用图的理论和方法研究矩阵一直是矩阵理论研究的一个重要方向。

The Jacobi matrix rank one update problems, given either their mix-type eigenpairs or their pricinpal submatrix and defective eigenpairs(the eigenvalues of the matrix and some elements of the corresponding eigenvectors) are also discussed.

n阶对称箭形矩阵与n阶Jacobi矩阵一样只有2n-1个非零元素，类似Jacobi矩阵逆特征值问题的提法，本文提出并讨论了六类对称箭形矩阵逆特征值问题，研究了这类矩阵的结构性质，得到了问题有解的充分必要条件及求解的数值算法和数值算例。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。