论文标题
复杂特征值的分类算法
A sorting algorithm for complex eigenvalues
论文作者
论文摘要
我们提出Spec-Re，一种用于对复杂特征值进行排序的新算法，它作为代数方程的解决方案生成，其系数是一个或多个可能是复杂参数的分析函数。特征值是参数的分析函数，具有最大代数奇点，用于制定算法。举了几个例子以证明该方法的功效。还提供了其他方法失败的简单示例。该算法可能在需要识别和分类本算法的几种物理和工程问题中很有用。
We present SPEC-RE, a new algorithm to sort complex eigenvalues, generated as the solutions to algebraic equations, whose coefficients are analytic functions of one or many, possibly complex parameters. The fact that the eigenvalues are analytic functions of the parameters, with atmost algebraic singularities, is used in formulating the algorithm. Several examples are presented to demonstrate the efficacy of the method; simple examples where other methods fail are also presented. The algorithm is likely to be useful in several problems of physics and engineering that require identification and sorting of eigenmodes.
