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Relationship of three methods for measuring numerical linear dependence of vectors
ZHANG Hua ren1,2, LI Wei guo1
(1.College of Mathematics and Computational Sciences in China University of Petroleum, Dongying 257061, China;2.Qingdao Institute of BioEnergy and BioProcess Technology, Chinese Acedemy of Science, Qingdao 266101, China)
Abstract:
Relative dependence index, linear dependence index and the minimum relative norm index for measuring numerical linear dependence of vectors were researched. The equivalent property of the linear dependence index and the relative dependence index was proved and the relational expression of the minimal relative norm index and linear dependence index was founded. Numerical examples show the practicability of the results.
Key words:  numerical linear dependence  Gram determinant  rank