Abstract
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.
Acknowledgments
The author would like to thank the anonymous referees for their valuable comments and suggestions on our early version.
Disclosure statement
No potential conflict of interest was reported by the author(s).