三种度量向量组数值线性相关性方法的关系
삼충도량향량조수치선성상관성방법적관계
Relationship of three methods for measuring numerical linear dependence of vectors
  • 万方数据
    中国石油大学学报（自然科学版） 중국석유대학학보（자연과학판）
    JOURNAL OF CHINA UNIVERSITY OF PETROLEUM(EDITION OF NATURAL SCIENCE)
    2010年 1期 175-179 ,共5页

    张华仁%李维国

    장화인%리유국

    数值线性相关性%Gram行列式%秩 數值線性相關性%Gram行列式%秩
    수치선성상관성%Gram행렬식%질
    numerical linear dependence%Gram determinant%rank
    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.
    토론도량향량조적상대상관성지표、선성상관지표화최소상대범수지표.증명선성상관성지표화상대상관성지표적등개성,병건립최소상대범수지표여선성상관성지표적관계표체식.응용실례결과험증료소득결론적정학성.
    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.
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