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Some results related to invertible matrices over bounded distributive lattice are generalized to matrices over incline.

将有界分配格上可逆矩阵的有关结果推广到坡上的矩阵。

Geometry of matrices;;division ring;;block triangular matrices;;maximal sets of rank;;arithmetic distance;;adjacency preserving

论文导师黄礼平,论文学位硕士,论文专业应用数学论文单位长沙理工大学,点击次数 3,论文页数 41页File Size1325K

Calculating the equivalence class U/C and the discernibility matrices size are the two main factors which affect the efficiency of the attribute reduction algorithm based on discernibility matrices.

影响基于差别矩阵的属性约简算法效率的主要因素有计算U/C等价类和差别矩阵的大小。

This paper proposes s new method to construct wavelets decomposing and reconstructing matrices of wavelet coefficients without iterative calculation in symmetrical extension for finite length signal ,and correspondingly gives the base vectors and basis images of 9/7 wavelet. The matrices can be used for image-partition processing based on wavelet method.

给出了对称延拓方式下有限长信号不需逐级计算而直接得到小波系数的分解矩阵和由这些小波系数重构原信号的重构矩阵的构造方法,并给出了常用的相应于9/7小波的分解矩阵和重构矩阵及其基向量,它们可广泛用于基于小波的图像分块处理中。

The calculation algorithms of fundamental matrix and trifocal tensor from camera projection matrices are deduced in detail. These matrices are successfully applied to outlier detection and elimination of point and line observations.

本文系统阐述了两者的概念及其性质,详细推导了利用已知的投影矩阵计算基本矩阵及三视张量的具体方法,并成功应用于粗差点、直线段观测值的剔除。

In this paper, after introduction of the basic concepts, the main results on Geometry of Matrices and the developmental survey on Linear Preserver Problems, we characterize some important additive preserver maps by using the fundamental theorem of Geometry of Matrices.

本文在介绍了矩阵几何的基本概念、主要成果及线性保持问题的发展概况之后,应用矩阵几何刻划了几类重要的加法保持问题。

The aim of this paper is to study the generalized inverse of matrices on rings, the generalized inverse of morphism and partial ordering of matrices.

矩阵广义逆的研究包括环上矩阵的广义逆,范畴中态射的广义逆,广义逆矩阵的计算和广义逆矩阵的应用等。

Finally, the author proves the sharp bound for the indices of convergence of n*n reducible Boolean matrices with f〓≥2 the writer lets f〓 be the greatest common divisor of the distinct lengths of the elementary cycles of the associated digraph D (A for a reducible Boolean matrix A , and characterizes the matrices with the largest index.

最后,设f〓为可约布尔矩阵A的伴随有向图D的所有圈长的最大公约数,当f〓≥2时,我们得到了可约布尔矩阵幂敛指数的一个上界和达到最大幂敛指数的矩阵的完全刻划。

This paper characterizes all additive maps from Hermitian matrix space H_n to full matrix space M_n preserving inverses of matrices. It is shown that every additive map f:H_n→M_n preserving inverses of matrices is of the form f=eP~(-1)X~σP for all ?

本文刻画了所有从Hermite矩阵空间H_n到全矩阵空间M_n的保逆加法映射,证明了每一个保逆的加法映射f:H_n→M_n是f= eP~(-1)X~σP或者f= eP~(-1)~σP这种形式,?

In the method, the symmetric positive semidefinite matrices are updated to approximate the Hessian matrices of the elemental objective functions and their sum to approximate the Hessian matrix of the objective function.

算法用对称半正定矩阵作为元素目标函数的Hessian阵的近似,使得其和仍然保持目标函数的Hessian阵的某种稀疏性。

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