时间：2016.10.25日下午3：00-5：00

地点：下沙校区教学D楼204报告室

摘要1：主要介绍大规模科学与工程计算中快速有效的计算方法。

摘要2：We present closed formulas and upper bounds for the absolute normwise, relative normwise, mixed and componentwise condition numbers of a linear function of  $x_k$ where $x_k$ is the truncated total least squares (T-TLS) solution with truncation level k of an overdetermined linear system $Ax=b$ in which $A\in R^{m*n}$ and $b \in R^m$. These results generalize or improve those in the literature. In this paper, we also give a statistical estimate for the absolute normwise condition number. Numerical examples demonstrate that our upper bounds and the statistical estimate are often good estimates of their corresponding exact values.