super matrix

Using the theory and computing means of the analytic network process(ANP), a new evaluation index system considering the relationship between index hierarchy and among hierarchies is established, then a super matrix is advanced and the weight of the index system is calculated.

利用网络层次法,分析评价系统中各层次间及同一层元素间的依赖与反馈关系,建立网络层次法结构模型,通过超矩阵计算评价指标权重。

In this paper, the super matrix representation of a hierarchy ,and the recognition and approximation of NTree are introduced.

本文介绍了偏序的超矩阵表示及相应的 NTree判别和近似表示方法 。

It overcomes the shortages of traditional analytic hierarchy process, which requires to the independence of each index, and gains more reasonable actual index weight through super matrix calculating.

该模型克服了传统层次分析法要求各指标间相互独立的不足,通过超矩阵的计算得到更符合实际的指标权重。

Firstly,the initial Hypermatrix was constructed,and then the hypermatrix with weight was setup.

结合高校图书馆评估模型,运用ANP方法进行具体分析,构造初始超矩阵,建立加权超矩阵,借助软件Matlab7。

It is proved that when A is a nonsingular generalized ultrametric matrix,then the Hadamard product Ao A~T is also a generalized ultrametric matrix and its inverse is an M- matrix.

本文研究了广义超度量矩阵的封闭性质。

In this paper we discuss the properties of idempotent matrices, EP matrices, GP matrices,HGP matrices,block matrices and nilpotent matrices over skew field.

论文主要研究体上幂等矩阵、EP矩阵、广义投影矩阵及超广义投影矩阵、分块矩阵和幂零矩阵等特殊矩阵类的性质，给出了体上幂等矩阵左线性组合非奇异性的刻画，刻画了四元数EP矩阵在偏序中的性质，给出广义投影矩阵和超广义投影矩阵的描述和偏序中的性质，并解决了文[20]中的问题-体上分块矩阵M=(?)群逆的存在性和其表达式，因而得到了EP矩阵群逆的表达式，证明了幂零矩阵的可中心化性及其Jordan标准形。