On the Local Convergence of an Iterative Approach for Inverse Singular Value Problems

The purpose of this paper is to provide the convergence theory for the iterative approach given by Chu [SIAM J. Numer. Anal.,29 (1992), pp. 885–903] in the context of solving inverse singular value problems. We give a detailed convergence analysis and investigate the ultimate rate of convergence. Numerical results which confirm our theory are presented

An Inexact Newton-Type Method for Inverse Singular Value

In this paper, an inexact Newton-type approach is proposed for solving inverse singu- lar value problems. We show that the method converges superlinearly. This method can reduce signi¯cantly the oversolving problem of the Newton-type method and improve the e±ciency. Numerical experiments is also presented to illustrate our results