我們在這篇論文裡說明如何運用漸近疊代方法(the asymptotic iteration method),計算四維時空裡不同黑洞(Schwarzschild、Reissner-Nordström和Kerr)的準正則模(quasinormal modes)。對於Schwarzschild黑洞,我們計算重力微擾的準正則頻率。至於Kerr黑洞,我們則計算純量和重力微擾的準正則頻率。我們特別討論低模的數值結果,並且和之前發表的結果做比較。 In this thesis we show how to use the asymptotic iteration method (AIM) to numerically calculate the quasinormal modes (QNMs) of different (Schwarzschild, Reissner-Nordström and Kerr) black holes in four-dimensional spacetime. For Schwarzschild black holes, we compute the quasinormal frequencies of the gravitational perturbations. For the Kerr black holes, we consider both the scalar and the gravitational cases. We discuss our results especially for the low-lying modes, and compare them to previously published results.