In this paper, we obtain two new lower bounds for the smallest singular value of nonsingular matrices which is better than the bound presented by zou \cite{zou2012lower}, Lin, Minghua and Xie, Mengyan \cite{lin2021some} under certain circumstances.

翻译：在本文中,我们获得了两个新的下限,用于非单质矩阵最小单值的下限,在某些情况下,这比zou\cite{zou2012lower}、Lin、Minghua和Xie、Mengyan\cite{lin2021some}提供的下限要好。