The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
The Singular Value Decomposition (SVD) method for the equilibrium matrix is developed and a physical explanation is given.
引入了平衡矩阵的奇异值分解（SVD）方法并解释了其力学含义。
The new estimation about lower bounds for singular value of matrix was presented, and the error in previous results were revised.
给出了矩阵奇异值下界的新估计，修正了以往结果的失误。
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