Solving complex symmetric systems efficiently is a significantly important issue in the applications of electromagnetics since the discretization of the numerical model using the finite element method results in complex symmetric systems when computing the electromagnetic field. However, such complex symmetric systems are usually much more difficult to be solved because of the property of non‐Hermitian. Therefore, efficient numerical methods for the solution of complex symmetric systems are demanded. In this study, we proposed an iterative method called COMINRES‐QLP which is specially designed for complex symmetric linear systems. Moreover, we proposed a new stopping criterion which could be very useful in practical computations when the condition number of the coefficient matrix is unknown.

中文翻译：

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解决复杂对称线性系统的COMINRES-QLP方法

在电磁学的应用中，有效求解复杂的对称系统是一个重要的重要问题，因为在计算电磁场时，使用有限元方法离散化数值模型会导致复杂的对称系统。但是，由于非埃尔米特性质，这种复杂的对称系统通常更难求解。因此，需要用于求解复杂对称系统的有效数值方法。在这项研究中，我们提出了一种称为COMINRES-QLP的迭代方法，该方法专门为复杂的对称线性系统设计。此外，我们提出了一个新的停止准则，该准则在系数矩阵的条件数未知时在实际计算中可能非常有用。