中文摘要：

讨论度量向量组的相对相关性指标、线性相关指标和最小相对范数指标。证明线性相关性指标和相对相关性指标的等价性，并建立最小相对范数指标与线性相关性指标的关系表达式。应用实例结果验证了所得结论的正确性。

英文摘要：

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.