In this paper, based on the two-step Ulm–Chebyshev iterative procedure and the Cayley transform, we propose a two-step Ulm–Chebyshev-like Cayley transform method for inverse eigenvalue problems. Under some mild assumptions, our results show that the two-step Ulm–Chebyshev-like Cayley transform method is cubically convergent. Numerical implementations demonstrate the effectiveness of the new method.

中文翻译：

---

反特征值问题的两步 Ulm-Chebyshev-like Cayley 变换方法

在本文中，基于两步乌尔姆-切比雪夫迭代过程和凯莱变换，我们提出了一种用于反特征值问题的两步乌尔姆-切比雪夫类凯莱变换方法。在一些温和的假设下，我们的结果表明两步 Ulm-Chebyshev-like Cayley 变换方法是三次收敛的。数值实现证明了新方法的有效性。