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Jacobi

于 2010-12-20 发布 文件大小:1KB
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  Jacobi矩阵一般是坐标变换时用的——这个坐标系的坐标依次对那个坐标系的坐标求偏导数即得Jacobi矩阵。积分时从直角坐标变到球坐标、极坐标肯定要在积分号里乘上Jacobi矩阵的行列式。 若其特征值全为正,则此Jacobi矩阵正定,即它的任何二次型都大于零。并且如果是对称Jacobi矩阵,还可以实相合于一个单位阵。是比较强的条件。矩阵A的特征值是这个关于x的方程的所有根 det(A-xI)=0(Jacobi)

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