复线性系统的向后误差

Backward Error of Complex Linear System

本文研究了复数域上的一类广义鞍点系统的结构化向后误差,并延伸了其中的两种特殊情况,推导出了向后误差的计算公式。 通过数值例子表明,我们的结果可以方便地检验实际算法的稳定性, 推导出的新的结构化向后误差比常用的更为合适和有效。

In this paper, the structured backward error of a class of generalized saddle-point systems in complex number field is studied, and two special cases are extended, and the calculation formula of backward error is derived. Numerical examples show that our results can easily test the stability of the actual algorithm, and the new structured backward error is more suitable and effective than the common one.