@article{Ma2024, 
author = {Wei Ma and Zhenhao Li and Yuxin Zhang},
title = {A two-step Ulm-Chebyshev-like Cayley transform method for inverse eigenvalue problems with multiple eigenvalues},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22986-23011},
keywords = {inverse eigenvalue problems, multiple eigenvalues, Ulm-Chebyshev-like method, Cayley transform, cubically convergent},
url = {https://www.sciopen.com/article/10.3934/math.20241117},
doi = {10.3934/math.20241117},
abstract = {Our focus in this study was on examining the convergence problem of a novel method, inspired by the Ulm-Chebyshev-like Cayley transform method, which was designed to solve the inverse eigenvalue problems (IEPs) with multiple eigenvalues. Compared with other existing methods, the proposed method has higher convergence order and/or requires less operations. Under the assumption that the relative generalized Jacobian matrices at a solution are nonsingular, the proposed method was proved to be convergent with cubic convergence. Experimental findings demonstrated the practicality and efficiency of the suggested approaches.}
}