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提出了一种对称化线性双共轭梯度(BiCG)迭代算法,应用于光电工程领域中波导问题的分析。该算法是针对有限元线性系统系数矩阵的大型复对称特性,在常规BiCG迭代法基础上对其进行对称化所得到的快速迭代求解算法。数值结果表明,所提出的对称BiCG迭代法比若干常用方法更加有效。
A symmetric linear bi-conjugate gradient (BiCG) iterative algorithm is proposed for waveguide analysis in optoelectronic engineering. The algorithm is a fast iterative algorithm for symmetric large-scale complex symmetry of finite element linear system coefficient matrix based on the conventional BiCG iterative method. Numerical results show that the proposed symmetric BiCG iterative method is more effective than some commonly used methods.