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 quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
利用极值思想与数值计算技术研究了复杂摄动情况下哈氏定理的推广问题。
The extension problems of Kharitonov's Theorem are developed under the cases of complex perturbations with the extremum idea and the numerical computer technology.
经典圆定理只证明了奇点位于圆外的情况，本文用正则摄动法证明了源和汇位于圆上时，圆定理也是适用的。
This study illustrated that the theorem could be also applied in a case where the sources and sinks are on the circle by means of the regular perturbation method.
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