AN ULM-LIKE METHOD FOR INVERSE SINGULAR VALUE PROBLEMS

University of Macau [UL020/08-Y3/MAT/JXQ01/FST]; Natural Science Foundation of Fujian Province of China for Distinguished Young Scholars [2010J06002]; NCETIn this paper, an Ulm-like method is proposed for solving inverse singular value problems. This method has an advantage over Newton's methods since it avoids solving approximate Jacobian equations. Under some mild assumptions, we show that the proposed method converges at least quadratically in the root sense. Our numerical tests, based on comparison with the inexact Newton method given by Bai and Xu [Linear Algebra Appl., 429 (2008), pp. 527-547], demonstrate the effectiveness of the new method