病态分析的空间几何表示

The spatial geometry representations of the ill-conditioned analysis

过去对复共线性的研究都是基于数值方面的分析,不直观,不易理解。本文从空间几何的角度出发,借助于空间几何图形的体积和变异程度对复共线性进行了研究,给复共线性的诊断和度量的行列式法、特征分析法、条件数法赋予了几何意义。

The studies on the multieollinearity were usually carried out on the basis of numerical analysis, which seemed to be abstract and incomprehensible. In order to overcome this problem, this paper explores the multicollinearity from the perspective of spatial geometry. Taking advantage of the variation in the volume and shape, this paper succeeded in endowing the determinant analysis, feature analysis and condition number with geometric meanings in the diagnostics and measurement of the multieollinearity.