Extended Two‐Step Ulm‐Chebyshev‐Like Method for Inverse Singular Value Problems With Multiple And/Or Zero Singular Values

ABSTRACT

In this article, we study the convergence of an extended two‐step Ulm–Chebyshev‐like method for solving the inverse singular value problems with multiple and/or zero singular values. Under the assumption of nonsingularity of the relative generalized Jacobian at a solution, the cubic convergence result is established for the extended two‐step Ulm–Chebyshev‐like method, and numerical experiments are provided to illustrate the convergence performance of the extended method. the research results in the present article significantly improve and expand Ma's corresponding results [18] for the special cases of distinct and positive singular values.