DKA法による超越方程式の解法とその適用例

抄録

Characteristic equations, such as stability equation and frequency equation in structural mechanics, are often reduced to transcendental equations, and the practically usable solver of the equations is anticipated.
Although the DKA (Durand-Kerner-Aberth)-scheme is already established as a solution method of high order algebraic equations and appraised high in the field of numerical analyses, the scheme has been considered not to be applicable to transcendental equations. However, further improving a solver which one of the authors discussed and expanded the DKA-scheme earlier, the authors succeeded to obtain good solutions of transcendental equations in specified domain with sufficient accuracy.
In this paper, the authors wish to describe the algorithm and the numerical examples of the proposed transcendental equation solver.