Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values

Abstract

In this article, when the given singular values are positive and multiple, we study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems is obtained, which extends the result of Ma (2022) [1]. We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient. AMS subject classification. 65F18, 65F15, 15A18