Two‐step Newton‐type methods for solving inverse eigenvalue problems
Xiao Shan Chen, Chao-Tao Wen, Hai‐Wei Sun · Numerical Linear Algebra with Applications · 2018
Summary In this paper, we apply the two‐step Newton method to solve inverse eigenvalue problems, including exact Newton, Newton‐like, and inexact Newton‐like versions. Our results show that both two‐step Newton and two‐step Newton‐like methods converge cubically, and the two‐step inexact Newton‐like method is super quadratically convergent. Numerical implementations demonstrate the effectiveness of new algorithms.