Ling, Yonghui; Xu, Xiubin A globally convergent inexact Newton-like Cayley transform method for inverse eigenvalue problems. (English) Zbl 1397.65058 J. Appl. Math. 2013, Article ID 630618, 11 p. (2013). Summary: We propose an inexact Newton method for solving inverse eigenvalue problems (IEP). This method is globalized by employing the classical backtracking techniques. A global convergence analysis of this method is provided and the R-order convergence property is proved under some mild assumptions. Numerical examples demonstrate that the proposed method is very effective in solving the IEP with distinct eigenvalues. MSC: 65F18 Numerical solutions to inverse eigenvalue problems 65F10 Iterative numerical methods for linear systems PDF BibTeX XML Cite \textit{Y. Ling} and \textit{X. Xu}, J. Appl. Math. 2013, Article ID 630618, 11 p. (2013; Zbl 1397.65058) Full Text: DOI arXiv OpenURL