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The spatial geometry representations of the ill-conditioned analysis

HAO Wei-feng①②,CHEN Zheng-yang②,ZHU Jian-jun②①LIESMARS,Wuhan University,Whuhan 430079,China;②School of Info-Physics and Geomatics Engineering,Central South University,Changsha 410083,China)  
The studies on the multicollinearity 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 multicollinearity.
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